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.
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Project supported by the Program for New Century Excellent Talents in University (No. NCET-08-0450), the 985 II of Xi’an Jiaotong University, and the High Talented Person Scientific Research Start Project of North China University of Water Resources and Electric Power (No. 003001)
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Li, P., Zhong, Wz., Li, Gs. et al. A numerical local orthogonal transform method for stratified waveguides. J. Zhejiang Univ. - Sci. C 11, 998–1008 (2010). https://doi.org/10.1631/jzus.C0910732
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DOI: https://doi.org/10.1631/jzus.C0910732
Key words
- Helmholtz equation
- Local orthogonal transform
- Dirichlet-to-Neumann (DtN) reformulation
- Marching method
- Internal interface