Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
From ECLOUD to PyECLOUD
ECLOUD
• Developed at CERN since 1997
(mainly by F. Zimmermann, G. Bellodi, O. Bruning,
G. Rumolo, D. Schulte)
• Pioneering work which defined a
physical model for the EC build-up
• FORTRAN 77 code
• Scarcely modular
(difficult to maintain, develop and
debug)
From ECLOUD to PyECLOUD
ECLOUD
PyECLOUD
• Developed at CERN since 1997
(mainly by F. Zimmermann, G. Bellodi, O. Bruning,
• Development started in 2011
G. Rumolo, D. Schulte)
• Pioneering work which defined a
physical model for the EC build-up
• Inherits the physical model of ECLOUD
• FORTRAN 77 code
• Python code
• Scarcely modular
(difficult to maintain, develop and
debug)
• Strongly modular (much easier to
develop and maintain)
From ECLOUD to PyECLOUD
ECLOUD
PyECLOUD
• Developed at CERN since 1997
(mainly by F. Zimmermann, G. Bellodi, O. Bruning,
• Development started in 2011
G. Rumolo, D. Schulte)
• Pioneering work which defined a
physical model for the EC build-up
• Inherits the physical model of ECLOUD
• FORTRAN 77 code
• Python code
• Scarcely modular
(difficult to maintain, develop and
debug)
• Strongly modular (much easier to
develop and maintain)
• Several improvements introduced with
better performances in terms of
reliability, accuracy, efficiency, and
flexibility
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Bunch energy loss estimation from build-up simulation
o
Build-up simulations for LHC 800mm common chamber
PyECLOUD flowchart
t=t+Δt
Generate seed e-
PyECLOUD is a 2D macroparticle (MP) code for
Evaluate the electric field of beam at
each MP location
Evaluate the e- space charge
electric field
Compute MP motion (t->t+Δt)
Detect impacts and generate
secondaries
the simulation of the electron cloud build-up
with:
•
Arbitrary shaped chamber
•
Ultra-relativistic beam
•
Externally applied (uniform) magnetic field
PyECLOUD flowchart
t=t+Δt
Generate seed e-
Evaluate the electric field of beam at
each MP location
Evaluate the number of seed e- generated
during the current time step and generate
Evaluate the e- space charge
electric field
the corresponding MP:
•
Compute MP motion (t->t+Δt)
Detect impacts and generate
secondaries
Residual gas ionization and
photoemission are implemented
PyECLOUD flowchart
t=t+Δt
E log(normalizad magnitude) - with image charges
Generate seed
e-
Evaluate the electric field of beam at
each MP location
y [mm]
20
-1
10
-2
0
-10
-3
-20
-4
-60
-40
-20
0
x [mm]
20
40
60
• The field map for the relevant chamber
e-
Evaluate the space charge
electric field
geometry and beam shape is pre-computed
on a suitable rectangular grid and loaded
Compute MP motion (t->t+Δt)
from file in the initialization stage
• When the field at a certain location is
Detect impacts and generate
secondaries
needed a linear (4 points) interpolation
algorithm is employed
PyECLOUD flowchart
t=t+Δt
Generate seed e-
Evaluate the electric field of beam at
each MP location
Evaluate the e- space charge
electric field
Classical Particle In Cell (PIC) algorithm:
• Electron charge density distribution ρ(x,y)
computed on a rectangular grid
Compute MP motion (t->t+Δt)
• Poisson equation solved using finite
difference method
Detect impacts and generate
secondaries
• Field at MP location evaluated through
linear (4 points) interpolation
PyECLOUD flowchart
t=t+Δt
Generate seed e-
Evaluate the electric field of beam at
each MP location
e-
Evaluate the space charge
electric field
Compute MP motion (t->t+Δt)
The dynamics equation is integrated in order
to update MP position and momentum:
When possible, “strong B condition” is
exploited in order to speed-up the
Detect impacts and generate
secondaries
computation
PyECLOUD flowchart
t=t+Δt
Generate seed e-
Evaluate the electric field of beam at
each MP location
• When a MP hits the wall
Evaluate the e- space charge
electric field
theoretical/empirical models are
employed to generate charge, energy
and angle of the emitted charge
Compute MP motion (t->t+Δt)
• According to the number of emitted
Detect impacts and generate
secondaries
electrons, MPs can be simply rescaled or
new MP can be generated
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
10
Number of e- [m-1]
Number of MP
10 x 10
6
8
10
4
6
10
2
72 bunches – 25ns spac.
72 bunches – 25ns spac.
4
10 0
0
0
0.5
0.5
1
1
1.5
1.5
2
2
Time [s]
2.5
2.5
33
3.5
3.5
4
44
-6
10-6
xx 10
x 10
Number of MP
6
•
number extends over several orders of magnitude
4
2
In an electron-cloud buildup, due to the multipacting process, the electron
•
0
0
It is practically impossible to choose a MP size that is suitable for the entire
simulation
(allowing
a satisfactory
description
of the phenomenon
and
a
0.5
1
1.5
2
2.5
3
3.5
Time [s]
computationally affordable number of MPs)
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
10
Number of e- [m-1]
Number of MP
10 x 10
6
8
10
4
6
10
2
72 bunches – 25ns spac.
72 bunches – 25ns spac.
4
10 0
0
0
0.5
0.5
1
1
1.5
1.5
2
2
Time [s]
2.5
2.5
33
3.5
3.5
4
x 10
xx 10
A reference MP size Nref is used to “take decisions”:
6
Number of MP
44
-6
10-6
4
1)
Seed MP generation: the generated MPs have size Nref
2)
Secondary MP emission: additional true secondary MPs
2
0
0
0.5
1.5 emitted2if the total
2.5emitted charge
3
3.5 ref
are
is >1.5N
1
Time [s]
x
3)
4
-6
x 10
MP cleaning: at each bunch passage a clean function is
called to eliminate all the MPs with charge <10-4Nref
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
4
10
0
4
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
4
10
0
4
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
4
10
0
4
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
8
a.
4
10
3.5
4
-6
x 10
Each macroparticle is assigned to a cell of a
uniform grid in the 5-D space (x,y,vx,vy,vz) obtaining
6
10
10
2
an approximation of the phase space distribution
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
b.
6
10
3
MP set regeneration
10 x 10
6
10
2.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
2
4
The new
2
2
Time [s]
target
MP
1.5
2
2.5
2.5
33
3.5
3.5
size is chosen such that:
44
-6
10-6
xx 10
x 10
10.
6
4
10
0
4 MP reg.
0.5
1
2.5
3
3.5
4
-6
x 10
4
x 10
c.
2
6
0
4
0
0.5
1
generated according to the computed distribution
1.5
2
Time [s]
2.5
3
3.5
4
-6
The error on total charge and total energy does not x 10
2
0
0
A new MPs set, having the new reference size, is
go beyond 1-2%
0.5
1
1.5
2
Time [s]
2.5
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3
0.5
1
4
10
0
4 MP reg.
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3
0.5
1
4
10
0
4 MP reg.
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
2
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
4
10
0
4 MP reg.
0.5
1
1.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
3.6e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
3.6e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
3.6e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Numbe
6
10
Macroparticle size management
4
10
0
0.5
1
1.5
2
2.5
3
3.5
The reference MP size Nref is adaptively changed during the simulation:
4
10
4
-6
x 10
Number of e- Number
[m-1]
of e- [m-1]
MP
Number of MP
Number of MP
Number ofref.
MPsize [m-1]
10 x 10
6
8
10
4
10
6
10
10
2
8
4
10
10 0
0
0
0.5
0.5
1
1
1.5
1.5
6
10
2
2
Time [s]
2.5
2.5
33
3.5
3.5
44
-6
10-6
xx 10
4
x 10
10.
6
45.
2.1e2 1.1e3 5.5e3 2.9e4 1.3e5
3.1e5
3.6e5
4
10
0
4 MP reg.
0.5
1
1.5
2
2.5
3
3.5
4
-6
x 10
4
x 10
2
6
0
4
0
0.5
1
1.5
2
Time [s]
2.5
2
Time [s]
2.5
3
3.5
x 10
2
0
0
0.5
1
1.5
4
-6
3
3.5
4
-6
x 10
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
Convergence study - Number of electrons
ECLOUD
9
x 10
4.5
0.2ns
0.1ns
0.05ns
0.025ns
0.012ns
2.5
2
Number of e- per unit length [m-1]
Number of e- per unit length [m-1]
3
x 10
PyECLOUD
1.5
1
0.5
9
0.2ns
0.1ns
0.05ns
0.025ns
0.012ns
4
3.5
3
2.5
2
1.5
1
0.5
0
0
1
2
3
t [s]
4
5
x 10
-6
0
0
0.5
1
1.5
2
t [s]
2.5
SPS MBB bending magnet, SEYmax = 1.5, nominal 25ns beam, E=26GeV
3
3.5
4
x 10
-6
ECLOUD
10
10
10
PyECLOUD
10
0
0
0.2ns
0.1ns
0.05ns
0.025ns
Av. e- charge hitting the wall [Am-2]
Av. e- charge hitting the wall [Am-2]
Convergence study – Electrons ditribution
-5
-10
0.2ns
0.1ns
0.05ns
0.025ns
0.012ns
10
10
0
0.01
0.02
0.03
x [m]
0.04
0.05
0.06
-5
-10
0
0.01
0.02
0.03
0.04
x [m]
SPS MBB bending magnet, SEYmax = 1.5, nominal 25ns beam, E=26GeV
0.05
0.06
Processing time
Time step
ECLOUD
PyECLOUD
0.2 ns
29 min
12 min
0.1 ns
1h 27 min
13 min
0.05 ns
1h 45 min
24 min
16000
0.025ns
3h 7 min
40 min
14000
0.012ns
4h 15 min
1h 6 min
12000
10000
ECLOUD
8000
PYECLOUD
6000
4000
2000
0
0.200ns
0.100ns
0.050ns
0.025ns
0.012ns
SPS MBB bending magnet, SEYmax = 1.5, nominal 25ns beam, E=26GeV
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
PyECLOUD at work
Several studies at CERN are/have been employing the new code:
Proton Synchrotron (PS):
•
Study on EC dependence on the Bunch Profile (C. Bhat)
•
Benchmarking of shielded pickup measurements (S. Gilardoni, G. Iadarola, M Pivi, G. Rumolo, C. Y. Vallgren)
Super Proton Synchrotron (SPS):
•
Scrubbing optimization studies (G.Iadarola, G. Rumolo)
•
Intensity upgrade studied (G.Iadarola, G. Rumolo)
•
Benchmarking of Strip Detector measurements (H. Bartosik, G.Iadarola, H. Neupert, M. Driss Mensi, G. Rumolo, M.
Taborelli)
Large Hadron Collider (LHC):
•
Benchmarking of bunch-by-bunch energy loss data from stable-phase shift (J. F. Esteban Muller, G.Iadarola, G.
Rumolo, E. Shaposhnikova)
•
Map formalism study for scrubbing optimization (O. Dominguez, F. Zimmermann)
•
Pressure observations vs. simulations benchmarking (O. Dominguez, F. Zimmermann)
•
Background study for 800mm chamber close to ALICE (V. Baglin, O. Dominguez, G. Iadarola, G. Rumolo)
•
Heat load benchmarking for the cryogenic arcs (G. Iadarola, H. Maury Cuna, G. Rumolo. F. Zimmermann)
•
Benchmarking of Instability Simulations at LHC (H. Bartosik, G. Iadarola, G. Rumolo)
PyECLOUD at work
Several studies at CERN are/have been employing the new code:
Proton Synchrotron (PS):
•
Study on EC dependence on the Bunch Profile (C. Bhat)
•
Benchmarking of shielded pickup measurements (S. Gilardoni, G. Iadarola, M Pivi, G. Rumolo, C. Y. Vallgren)
Super Proton Synchrotron (SPS):
•
Scrubbing optimization studies (G.Iadarola, G. Rumolo)
•
Intensity upgrade studied (G.Iadarola, G. Rumolo)
•
Benchmarking of Strip Detector measurements (H. Bartosik, G.Iadarola, H. Neupert, M. Driss Mensi, G. Rumolo, M.
4
Taborelli)
>10 simulations run so far
Large Hadron Collider (LHC):
•
Benchmarking of bunch-by-bunch energy loss data from stable-phase shift (J. F. Esteban Muller, G.Iadarola, G.
Rumolo, E. Shaposhnikova)
•
Map formalism study for scrubbing optimization (O. Dominguez, F. Zimmermann)
•
Pressure observations vs. simulations benchmarking (O. Dominguez, F. Zimmermann)
•
Background study for 800mm chamber close to ALICE (V. Baglin, O. Dominguez, G. Iadarola, G. Rumolo)
•
Heat load benchmarking for the cryogenic arcs (G. Iadarola, H. Maury Cuna, G. Rumolo. F. Zimmermann)
•
Benchmarking of Instability Simulations at LHC (H. Bartosik, G. Iadarola, G. Rumolo)
PyECLOUD at work
Several studies at CERN are/have been employing the new code:
Proton Synchrotron (PS):
•
Study on EC dependence on the Bunch Profile (C. Bhat)
•
Benchmarking of shielded pickup measurements (S. Gilardoni, G. Iadarola, M Pivi, G. Rumolo, C. Y. Vallgren)
Super Proton Synchrotron (SPS):
•
Scrubbing optimization studies (G.Iadarola, G. Rumolo)
•
Intensity upgrade studied (G.Iadarola, G. Rumolo)
•
Benchmarking of Strip Detector measurements (H. Bartosik, G.Iadarola, H. Neupert, M. Driss Mensi, G. Rumolo, M.
Taborelli)
Large Hadron Collider (LHC):
•
Benchmarking of bunch-by-bunch energy loss data from stable-phase shift (J. F. Esteban Muller, G.Iadarola, G.
Rumolo, E. Shaposhnikova)
•
Map formalism study for scrubbing optimization (O. Dominguez, F. Zimmermann)
•
Pressure observations vs. simulations benchmarking (O. Dominguez, F. Zimmermann)
•
Background study for 800mm chamber close to ALICE (V. Baglin, O. Dominguez, G. Iadarola, G. Rumolo)
•
Heat load benchmarking for the cryogenic arcs (G. Iadarola, H. Maury Cuna, G. Rumolo. F. Zimmermann)
•
Benchmarking of Instability Simulations at LHC (H. Bartosik, G. Iadarola, G. Rumolo)
PyECLOUD at work
Several studies at CERN are/have been employing the new code:
Proton Synchrotron (PS):
•
Study on EC dependence on the Bunch Profile (C. Bhat)
•
Benchmarking of shielded pickup measurements (S. Gilardoni, G. Iadarola, M Pivi, G. Rumolo, C. Y. Vallgren)
Super Proton Synchrotron (SPS):
•
Scrubbing optimization studies (G.Iadarola, G. Rumolo)
•
Intensity upgrade studied (G.Iadarola, G. Rumolo)
•
Benchmarking of Strip Detector measurements (H. Bartosik, G.Iadarola, H. Neupert, M. Driss Mensi, G. Rumolo, M.
Taborelli)
Large Hadron Collider (LHC):
•
Benchmarking of bunch-by-bunch energy loss data from stable-phase shift (J. F. Esteban Muller, G.Iadarola, G.
Rumolo, E. Shaposhnikova)
•
Map formalism study for scrubbing optimization (O. Dominguez, F. Zimmermann)
•
Pressure observations vs. simulations benchmarking (O. Dominguez, F. Zimmermann)
•
Background study for 800mm chamber close to ALICE (V. Baglin, O. Dominguez, G. Iadarola, G. Rumolo)
•
Heat load benchmarking for the cryogenic arcs (G. Iadarola, H. Maury Cuna, G. Rumolo. F. Zimmermann)
•
Benchmarking of Instability Simulations at LHC (H. Bartosik, G. Iadarola, G. Rumolo)
Outline
•
Why a new build-up code?
•
Inside PyECLOUD:
•
o
Overview
o
MP size management
o
Convergence and performances
PyECLOUD at work:
o
Build-up simulations for LHC 800mm common chamber
800mm vacuum chamber @ IP2
Vacuum team has reported pressure rise in 800mm common vacuum chambers
on both sides of ALICE, with significant impact on background
Ø 80cm
Ø 20cm
27m
Vacuum observations
Ramp
Fill 1960 19-20/07/2011
Vacuum observations
Ramp
Fill 1960 19-20/07/2011
Pressure rise is strongly
correlated to the injection
of the last two batches
from the SPS and already
appears at 450GeV
800mm chamber – two beams simulations
11
4
2/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
•
35
6
x 10
4
In the considered chamber both counter-rotating beams circulate at the same
2
time
20
0
0
2
40
60
80
100
0
0
20
40
4
80
100
11
x 10
This changes the picture since at different sections,
different “effective bunch
6
-1
11
p density [m ]
•
x 10
60
Time [ns]
4
spacings” (delay between following bunch passages)
are observed
2
+
2
+
-1
p density [m ]
Time [ns]
6
40
+
4
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
60
Time [ns]
80
100
800mm chamber – two beams simulations
11
4
2/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
3/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
4/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
5/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
6/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
7/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
8/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
9/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
10/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
11/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
12/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
13/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
14/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
15/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
15/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
16/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
17/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
18/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
18/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
19/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
20/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
21/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
22/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
23/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
24/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
25/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
26/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
27/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
28/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
29/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
30/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
31/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
32/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
33/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
34/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
35/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
36/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
37/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
38/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
39/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
40/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
41/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
42/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
43/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
44/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
45/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
46/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
4
35
6
x 10
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
80
100
60
80
100
11
-1
p density [m ]
x 10
4
6
x 10
4
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
11
4
46/50
x 10
Beam 2
Beam 1
3.5
p+ density [m -1]
3
2.5
2
1.5
1
0.5
0
0
5
10
15
20
-1
p density [m ]
50ns
4
35
6
x 10
10ns
40ns
4
2
0
0
20
40
60
80
100
0
0
20
40
Time [ns]
-1
20ns
p density [m ]
4
80
100
60
80
100
11
x 10
30ns
6
x 10
4
25ns
25ns
2
+
2
+
-1
6
60
Time [ns]
11
p density [m ]
40
+
2
30
11
x 10
+
-1
p density [m ]
11
6
25
Position [m]
0
0
20
40
60
Time [ns]
80
100
0
0
20
40
Time [ns]
800mm chamber – two beams simulations
To check if our model of e-cloud can explain the observed behavior of
pressure rise, we have simulated the electron cloud build up in the
800mm chamber before and after the last two injections
Fill 1960 19-20/07/2011
Simulated conditions
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
2/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
3/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
4/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
5/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
6/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
1st turn
2nd turn
9
2
LSS2
7/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
8/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Before the last two
injections (144 bunches
per injection) about 1/4 of
each ring is still empty
1st turn
2nd turn
9
2
LSS2
9/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
10/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
LSS2
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
12/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
13/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
14/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
15/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
e-cloud buildup is
observed when both
beams are passing in the
800mm chamber
1st turn
2nd turn
9
2
LSS2
16/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
17/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
18/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
19/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
20/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
21/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
22/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
23/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
24/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
25/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
26/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
27/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
28/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
29/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
30/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
A slow decay of the ecloud is observed when
only one 50ns beam is
passing in the 800mm
chamber
1st turn
2nd turn
9
2
LSS2
31/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
32/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
33/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
34/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
35/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
36/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
37/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
38/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
39/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
40/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
41/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
42/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
43/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
44/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
45/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
46/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
47/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
48/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
49/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
50/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
51/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
52/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
53/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
54/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
55/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
56/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
57/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
58/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
No memory effect
between following turns
is observed
1st turn
2nd turn
9
2
LSS2
59/61
x 10
1.8
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
To check if our model of e-cloud can explain the observed behavior of
pressure rise, we have simulated the electron cloud build up in the
800mm chamber before and after the last two injections
Fill 1960 19-20/07/2011
Simulated conditions
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
1/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
2/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
3/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
4/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
5/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
6/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
7/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
8/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
9/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
10/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
11/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
12/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
13/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
14/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
15/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
16/31
1
0.8
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
0.6
0.4
0.2
0
-0.2
1st turn
2nd turn
LSS2
-0.4
9
2
16/61
x 10
1.8
Last 2 inj. missing
Complete 1380 b. fill. scheme
-0.6
Number of e - per unit length [m -1]
1.6
-0.8
1.4
-1
1.2
-1
-0.8
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
17/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
18/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
19/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
20/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
21/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
22/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
23/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
24/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
25/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
26/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
27/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
28/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
29/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
30/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
31/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
32/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
33/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
34/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
35/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
36/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
37/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
38/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
39/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
40/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
41/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
42/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
43/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
44/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
45/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
46/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
47/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
48/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
49/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
50/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
51/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
52/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
53/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
54/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
55/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
56/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
57/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
58/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
59/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
At the end of injection the
two rings look quite
completely filled, the
largest holes being the two
abort gaps
1st turn
2nd turn
9
2
60/61
x 10
1.8
LSS2
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Memory effect is observed
between turns, which can
strongly enhance the
electron cloud
1st turn
2nd turn
LSS2
9
2
x 10
1.8
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
800mm chamber – two beams simulations
Memory effect is observed
between turns, which can
strongly enhance the
electron cloud
1st turn
2nd turn
LSS2
9
2
x 10
1.8
Last 2 inj. missing
Complete 1380 b. fill. scheme
Number of e - per unit length [m -1]
1.6
1.4
1.2
1
This is consistent with the
observation of pressure
rise only after the last two
injections
0.8
0.6
0.4
0.2
0
0
20
40
60
80
100
Time [s]
120
140
160
Summary
•
A new Python code for the simulation of the e-cloud build-up has been
developed
•
Based on the physical models ECLOUD, PyECLOUD shows significantly
improved accuracy, flexibility and efficiency
•
Several studies have already been conducted at CERN with the new code
Future plans
•
Arbitrary shaped chamber with non-uniform SEY (already implemented,
test ongoing)
•
Non uniform magnetic field map (e. g. quadrupoles, combined function
magnets)
•
Integration with HEADTAIL for self-consistent simulations
Thanks for your attention!
800mm chamber – two beams simulations
Hybrid spacings
50ns beam
Hybrid spacings
Before the last two injections (1380 - 288 bunches per beam)
SEY 1.6
No multipacting
Simulations indicate different e-cloud densities at different sections of the
considered chamber (due to different “crossing conditions”) but build-up along
al the tube
PyECLOUD
We have decided to write a new fully reorganized build-up code, in a newer and
more powerful language, considering that the initial effort would be compensated
by a significantly increased efficiency in future development and debugging.
The employed programming language is Python:
•
Interpreted language (open source), allowing incremental and
interactive development of the code, encouraging an highly
modular structure
•
Libraries for scientific computation (e.g Numpy, Scipy, Pylab)
•
Extensible with C/C++ or FORTRAN compiled modules for
computationally intensive parts