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Front. Inform. Technol. Electron. Eng.  2010, Vol. 11 Issue (12): 998-1008    DOI: 10.1631/jzus.C0910732
    
A numerical local orthogonal transform method for stratified waveguides
Peng Li, Wei-zhou Zhong, Guo-sheng Li, Zhi-hua Chen
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
A numerical local orthogonal transform method for stratified waveguides
Peng Li, Wei-zhou Zhong, Guo-sheng Li, Zhi-hua Chen
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
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摘要： 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.
关键词： Helmholtz equation;  Local orthogonal transform;  Dirichlet-to-Neumann (DtN) reformulation;  Marching method;  Internal interface    
Abstract: 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.
Key words: Helmholtz equation    Local orthogonal transform    Dirichlet-to-Neumann (DtN) reformulation    Marching method    Internal interface
收稿日期: 2009-11-29 出版日期: 2010-12-09
CLC:  O29  
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Peng Li
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引用本文:

Peng Li, Wei-zhou Zhong, Guo-sheng Li, Zhi-hua Chen. A numerical local orthogonal transform method for stratified waveguides. Front. Inform. Technol. Electron. Eng., 2010, 11(12): 998-1008.

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http://www.zjujournals.com/xueshu/fitee/CN/10.1631/jzus.C0910732    或    http://www.zjujournals.com/xueshu/fitee/CN/Y2010/V11/I12/998

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