Abstract
In this paper, an improved version of a 2-D bidirectional eigenmode
expansion propagation algorithm based on Fourier series expansion for modeling
optical field distribution in waveguide devices is presented. The algorithm
is very simple, numerically robust, and inherently reciprocal. It does not
require root searching in the complex plane. Proper truncation rules are
used to ensure good convergence properties for TM-polarized waves. Perfectly
matched layers as absorbing boundary conditions can be implemented in a very
simple way using complex coordinate stretching. The approach represents a
transition between purely modal and Fourier expansion methods for modeling
guided-wave photonic structures.
© 2007 IEEE
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