The Method of Optical Paths for the Numerical Solution of Integrated Photonics Problems
Computational mathematics and mathematical physics(2023)
摘要
A number of topical problems of integrated photonics are reduced to oblique incidence of radiation on a plane-parallel scatterer. For such problems, a method for integrating Maxwell’s equations along the direction of beam propagation is proposed. As a result, the original two-dimensional problem is reduced to a one-dimensional problem, and it is solved using recently proposed one-dimensional bicompact schemes. This significantly reduces the computational cost compared with the conventional two-dimensional finite difference and finite element methods. The proposed method is verified by solving test problems for which exact solutions are known.
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关键词
Maxwell’s equations,bicompact schemes,stratified media,interface conditions,material dispersion
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