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Hybrid absorbing boundary conditions of PML and CRBC. (English) Zbl 07389251

Summary: In this paper we introduce a hybrid absorbing boundary condition (HABC) by combining perfectly matched layer (PML) and complete radiation boundary condition (CRBC) for solving a one-dimensional diffraction grating problem. The new boundary condition is devised in such a way that it can enjoy relative advantages from both methods. The well-posedness of the problem with HABC and the convergence of approximate solutions will be analyzed. Numerical examples to illustrate the efficiency of HABC are also presented.

MSC:

65Nxx Numerical methods for partial differential equations, boundary value problems
78Axx General topics in optics and electromagnetic theory
78Mxx Basic methods for problems in optics and electromagnetic theory

Software:

deal.ii
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References:

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