Hybrid absorbing boundary conditions of PML and CRBC

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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.

Original languageEnglish
Article number113713
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - 1 Jan 2022


  • Absorbing boundary condition
  • Complete radiation boundary condition
  • Diffraction grating
  • Helmholtz equation
  • Perfectly matched layer


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