Title :
A new iterative bidirectional beam propagation method
Author :
Lu, Ya Yan ; Wei, Su Hua
Author_Institution :
Dept. of Math., City Univ. of Hong Kong, Kowloon, China
Abstract :
A new bidirectional beam propagation method is developed for numerical simulation of wave-guiding structures with multiple longitudinal reflecting interfaces. It is an iterative method that works on the wave field components directly. Operator rational approximations developed in the one-way beam propagation method are used together with a modern Krylov subspace iterative method. Compared with earlier bidirectional beam propagation methods based on the transfer matrix formulation, the new method is numerically stable and models evanescent modes better.
Keywords :
approximation theory; diffraction gratings; iterative methods; optical waveguide filters; optical waveguide theory; optical waveguides; reflectivity; stability; Krylov subspace iterative method; add drop optical filters; bidirectional beam propagation method; bidirectional beam propagation methods; evanescent mode modelling; gratings; iterative bidirectional beam propagation method; iterative method; multiple longitudinal reflecting interfaces; multiple reflecting interfaces; numerical simulation; numerically stable; one-way beam propagation method; operator rational approximations; optical waveguide theory; photonic devices; transfer matrix formulation; wave field components; wave-guiding structures; Iterative methods; Mathematics; Numerical simulation; Optical filters; Optical propagation; Optical scattering; Optical waveguides; Particle scattering; Tellurium; Transmission line matrix methods;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2002.803904
