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On-line Access: 2010-12-09

Received: 2009-11-29

Revision Accepted: 2010-03-29

Crosschecked: 2010-09-06

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Journal of Zhejiang University SCIENCE C 2010 Vol.11 No.12 P.998-1008


A numerical local orthogonal transform method for stratified waveguides

Author(s):  Peng Li, Wei-zhou Zhong, Guo-sheng Li, Zhi-hua Chen

Affiliation(s):  School of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, China, Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou 450045, China, Department of Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, China, Science Department, Zhijiang College of Zhejiang University of Technology, Hangzhou 310027, China

Corresponding email(s):   weizhou@mail.xjtu.edu.cn

Key Words:  Helmholtz equation, Local orthogonal transform, Dirichlet-to-Neumann (DtN) reformulation, Marching method, Internal interface

Peng Li, Wei-zhou Zhong, Guo-sheng Li, Zhi-hua Chen. A numerical local orthogonal transform method for stratified waveguides[J]. Journal of Zhejiang University Science C, 2010, 11(12): 998-1008.

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journal="Journal of Zhejiang University Science C",
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%T A numerical local orthogonal transform method for stratified waveguides
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%A Guo-sheng Li
%A Zhi-hua Chen
%J Journal of Zhejiang University SCIENCE C
%V 11
%N 12
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%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C0910732

T1 - A numerical local orthogonal transform method for stratified waveguides
A1 - Peng Li
A1 - Wei-zhou Zhong
A1 - Guo-sheng Li
A1 - Zhi-hua Chen
J0 - Journal of Zhejiang University Science C
VL - 11
IS - 12
SP - 998
EP - 1008
%@ 1869-1951
Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C0910732

Flattening of the interfaces is necessary in computing wave propagation along stratified waveguides in large range step sizes while using marching methods. When the supposition that there exists one horizontal straight line in two adjacent interfaces does not hold, the previously suggested local orthogonal transform method with an analytical formulation is not feasible. This paper presents a numerical coordinate transform and an equation transform to perform the transforms numerically for waveguides without satisfying the supposition. The boundary value problem is then reduced to an initial value problem by one-way reformulation based on the Dirichlet-to-Neumann (DtN) map. This method is applicable in solving long-range wave propagation problems in slowly varying waveguides with a multilayered medium structure.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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