Transfer Matrix Method for Electromagnetic Waves in 1D

644 Progress In Electromagnetics Research Symposium Abstracts, Marrakesh, Morocco, Mar. 20–23, 2011
Transfer Matrix Method for Electromagnetic Waves in 1D
Inhomogeneous Media with Dissipation
G. V. Morozov1 , F. Placido1 , and D. W. L. Sprung2
1
2
Thin Film Centre, University of the West of Scotland, Paisley PA1 2BE, Scotland, UK
Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
Abstract— Electromagnetic wave propagation in one-dimensional (1D) inhomogeneous media
with dissipation (including metal slabs) is studied analytically, using two different forms of the
transfer matrix. A general case of oblique propagation is considered, i.e., both TE (s) and TM
(p) waves are treated. The proper effective refractive indices and extinctions of dissipative media
in case of oblique propagation are used. Propagation in a bilayer dielectric-metallic photonic
crystal and in a rugate filter with low absorption are computed as examples.