Open AccessEfficient bidirectional marching solver for optical propagation in three-dimensional waveguide structures
Author(s) -
Yang Hao
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.428014
Subject(s) - waveguide , solver , fast marching method , optics , operator (biology) , range (aeronautics) , computer science , wave propagation , iterative method , physics , algorithm , materials science , biochemistry , chemistry , repressor , transcription factor , composite material , gene , programming language
A novel bidirectional operator marching method based on the Dirichlet-to-Neumann (DtN) mapping for three-dimensional optical waveguide structures is developed and implemented using iterative methods. The backward propagation wave is integrated into the classical operator marching approach which represents the forward propagating wave. The bidirectional range marching formulas are exact for each range-independent piece and a large range step is possible in both directions. The validity and effectiveness of our proposed method are verified by analyzing uniform waveguides and longitudinal waveguides with varying refractive indices.