A comparative study of absorbing boundary conditions

Abstract The utilization of a numerical absorbing boundary condition, which limits the domain of computation, is an important consideration in finite difference simulations of the wave equation on infinite regions. One technique for generating these conditions is based on the theory of approximate one-way wave equations. In this paper, we investigate the effectiveness of second- and third-order boundary conditions based on one-way wave equations derived from various classes of approximants. By considering two model problems, our numerical experiments indicate that one-way wave equations derived from Pade approximation perform best as numerical absorbing boundary conditions for a class of problems of interest in the simulation of electromagnetic wave propagation.

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