Nonparaxial Split-Step Method With Local One-Dimensional Scheme for Three-Dimensional Wide-Angle Beam Propagation

Author

Cheng, Hua ; Zang, Wei-Ping ; Li, Zu-Bin ; Zhou, Wen-Yuan ; Tian, Jian-Guo

Author_Institution

Key Lab. of Weak Light Nonlinear Photonics, Nankai Univ., Tianjin, China

Volume

27

Issue

14

fYear

2009

fDate

7/15/2009 12:00:00 AM

Firstpage

2717

Lastpage

2723

Abstract

A wide-angle, split-step finite-difference method with the classical local one-dimensional scheme is presented to analyze the three-dimensional scalar wave equation. Its essence is to convert the three-dimensional scalar wave equation into two two-dimensional equations that can be solved without using slowly varying envelope or one-way propagation approximations. To validate the effectiveness, numerical results for the Gaussian beam propagation in vacuum and the eigen-mode propagation in tilted step-index channel waveguide are compared with other beam propagation algorithms. Results show that the method has high accuracy and numerical efficiency compared with other known split-step methods. The perfectly matched layer boundary condition can be implemented easily.

Keywords

eigenvalues and eigenfunctions; laser beams; light propagation; optical waveguides; 3D scalar wave equation; 3D wide angle beam propagation; Gaussian beam propagation; eigenmode propagation; nonparaxial split step method; perfectly matched layer boundary; split step finite difference method; step index channel waveguide; Beam propagation; numerical approximation and analysis; optical waveguides; wide-angle method;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2009.2015469

Filename

4840444