Open AccessEfficient marching solver for a class of three-dimensional optical waveguides
Author(s) -
Jianxin Zhu,
Yang Hao
Publication year - 2018
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.26.015110
Subject(s) - helmholtz equation , computation , solver , scalar (mathematics) , wavenumber , optics , refractive index , wave equation , range (aeronautics) , computer science , fast marching method , physics , mathematical analysis , mathematics , algorithm , mathematical optimization , geometry , materials science , boundary value problem , composite material
An efficient marching method of the wave propagation computation in the three-dimensional (3D) rectangular box is developed by solving the scalar Helmholtz equation with the weakly range-dependent refractive-index or wavenumber profile. The method is based on the application of the one-way formulation accompanied by a truncated technique that allows for the reduction of the number of eigenmodes and for quickly achieving reliable numerical results. The merits of the high accuracy and fast computation with a larger range step are shown to solve the equation. This treatment can be also applied to other complicated 3D waveguides.