Marching schemes for inverse scattering problems in waveguides with curved boundaries

作者：

Highlights：

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• A marching method is developed for Cauchy problems of Helmholtz equation.

• The method deals easily backscattering in waveguides with curved boundaries.

• We present a proof for the principles of a marching algorithm.

• The method is extensively verified in waveguides with strong reflections.

摘要

•A marching method is developed for Cauchy problems of Helmholtz equation.•The method deals easily backscattering in waveguides with curved boundaries.•We present a proof for the principles of a marching algorithm.•The method is extensively verified in waveguides with strong reflections.

论文关键词：Cauchy problem,Propagating mode,Marching method,Waveguide,Local orthogonal transform

论文评审过程：Received 27 August 2015, Revised 8 January 2017, Available online 8 August 2017, Version of Record 23 August 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.07.030