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.


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


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