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

Wonseok Shin; Shanhui Fan

doi:10.1117/12.906869

28 February 2012 Choice of the perfectly matched layer boundary condition for iterative solvers of the frequency-domain Maxwell's equations

Wonseok Shin, Shanhui Fan

Author Affiliations +

Proceedings Volume 8255, Physics and Simulation of Optoelectronic Devices XX; 82550N (2012) https://doi.org/10.1117/12.906869
Event: SPIE OPTO, 2012, San Francisco, California, United States

Abstract

We show that the performance of iterative solvers of the frequency-domain Maxwell's equations is greatly affected by the kind of the perfectly matched layer (PML) used. In particular, we demonstrate that using the stretchedcoordinate PML (SC-PML) results in significantly faster convergence speed as compared with 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.

Citation Download Citation

Wonseok Shin and Shanhui Fan "Choice of the perfectly matched layer boundary condition for iterative solvers of the frequency-domain Maxwell's equations", Proc. SPIE 8255, Physics and Simulation of Optoelectronic Devices XX, 82550N (28 February 2012); https://doi.org/10.1117/12.906869

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