Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers

Authors:
Wonseok Shin;Shanhui Fan
Affiliations:
Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA;Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA
Venue:
Journal of Computational Physics
Year:
2012

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Abstract

We show that the performance of frequency-domain solvers of Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretched-coordinate PML (SC-PML) results in significantly faster convergence speed than using the uniaxial PML (UPML). Such a difference in convergence behavior is explained by an analysis of the condition number of the coefficient matrices. Additionally, we develop a diagonal preconditioning scheme that significantly improves solver performance when UPML is used.