The scattering of an electromagnetic plane wave incident upon an inhomogeneous
multilayer structure is considered in symbolic form. In this framework a
scattering-matrix propagation algorithm that decouples recurrences for backward-
and forward-scattered wave amplitudes is developed. By construction the
scattering-matrix solution procedure is stable against increase of truncation
order and depths and number of layers, irrespective of numerical implementation.
For grating structures a numerical study using Fourier-transform discretization
is performed. In this implementation the convergence issue for TM polarization
© 1996 Optical Society of America
Equations on this page are rendered with MathJax. Learn more.