Single Attosecond Pulses and XUV Supercontinuum Shambhu Ghimire, Bing Shan, and Zenghu Chang J. R. Macdonald Laboratory Kansas State University Applications of Attosecond Pulses zs 10-21 s as fs ps 10-18 s 10-15 s 10-12 s Time Generation of attosecond pulses High harmonic generation U(x,t) Step1: Ionization Step2: Acceleration Step3: Recombination Ion x-ray laser field Ip electron electron Previous work Attosecond pulse at cutoff 85 eV Attosecond pulse train A. BALTU KA et.al, Nature 421, 611( 2003) 135 ev Single as pulse Attosecond pulse train Elaser Electron trajectory t (fs) IHHG -1 0 1 t (fs) Discrete harmonic orders in the plateau -Spatial analogy of pulse train interference Discrete pattern at plateau analogy to multi-slit diffraction Single slit Double slit Multi slit Diffraction patterns (spatial frequency) Our goal • The drawbacks of previous work – Attosecond pulse train in the plateau – Single attosecond pulse only at the cutoff – Harmonic intensity is low at the cutoff – Covers a narrow spectrum range • We intend to generate single attosecond pulses in the plateau range Generation of single attosecond pulse in the plateau • Approach 1- Half cycle laser pulse Reduce laser pulse to half of a cycle. Very hard to do. • Approach 2- Polarization gating The laser pulse can have a few cycles. Polarization gating •Laser is linearly polarized E HHG emission •Laser is circularly polarized Ey No HHG emission Ex •Polarization gating: linear portion is less than half of a cycle t (fs) Generation of ellipticity- depended pulse -with birefringence optics Optics axis Time delay Laser field Time delay e-ray o-ray L e-ray o-ray Optic axis Quartz plate ¼ waveplate R Generation of ellipticity-depended pulse Ey -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 t(fs) Time (fs) Ex -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 t(fs) Time (fs) Pulse duration measurement Frequency-resolved optical gating wavelength Compensating plate I(t) time BBO Crystal I(t) BS Time Delay Stage Computer lens Spectrometer and cold CCD Pulse duration measurement Hollow-core fiber output 26 24 Pulse duration (fs) 22 20 18 16 14 12 10 8 0 1 2 3 4 5 Compensating plate Thickness (mm) 6 Attosecond pulse generation experimental setup KLS 4 mJ, 25fs 0.8 mm Hollow-core fiber 0.5 mJ, 8fs Gas nozzle CCD Grating Filter MCP & Phosphor ¼ waveplate HHG Spectrum Quartz plate Spectra broadening for shorter pulse 19 21 23 25 27 With a linear, 25 fs pulses (~10 laser cycle) ( the interference of 20 as pulses) 19 21 23 25 27 With two circular ~12 fs pulses, linear portion ~3 fs (1 cycle) ( the interference of 2 as pulses) The effect of polarization gating With two pulses >9.2fs, 1.7fs linear polarization Single Attosecond Pulses and XUV Super continuum ~45 nm ~20 nm With two pulses ~8 fs Intensity (Arb. u.) Simulated spectrum of HHG Without polarization gating 1E-3 1E-4 1E-5 1E-6 1E-7 1E-8 1E-9 1E-10 1E-11 1E-12 1E-13 1E-14 1E-15 1E-16 1E-17 1E-18 1E-19 1E-20 Ar t=5 fs 14 2 I=6x10 W/cm 0 10 20 30 40 50 60 Harmonic order 70 80 90 Simulated spectrum of HHG With polarization gating Intensity (Arb. u.) Continuum at plateau 1E-3 1E-4 1E-5 1E-6 1E-7 1E-8 1E-9 1E-10 1E-11 1E-12 1E-13 1E-14 1E-15 1E-16 1E-17 1E-18 1E-19 1E-20 Ar ellipticity chirped pulses, t=5 fs 14 2 I=3x10 W/cm 0 10 20 30 40 50 Harmonic order 60 70 80 Summary • Single attosecond pulse at plateau for the first time. • Birefringence optics was used to produce the ellipticity-dependent laser pulse. • The single attosecond over a broader spectrum range. • The attosecond at the plateau is more intense than that at the cutoff.
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