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.

中文翻译：

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PML和CRBC的混合吸收边界条件

在本文中，我们通过结合完美匹配层 (PML) 和完全辐射边界条件 (CRBC) 来引入混合吸收边界条件 (HABC)，以解决一维衍射光栅问题。新边界条件的设计方式使其可以从两种方法中获得相对优势。将分析具有 HABC 的问题的适定性和近似解的收敛性。还提供了用于说明 HABC 效率的数值示例。