## 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

deal.ii
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### References:

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