DocumentCode :
752939
Title :
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
Link To Document :
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