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Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization

Jean-Paul Hugonin 1 Philippe Lalanne 1
1 Laboratoire Charles Fabry de l'Institut d'Optique / Naphel
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
Abstract : A modified formulation of Maxwell's equations is presented that includes a complex and nonlinear coordinate transform along one or two Cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow one to map an infinite space to a finite space and to specify graded perfectly matched absorbing boundaries that allow the outgoing wave condition to be satisfied. The approach is validated by numerical results obtained by using Fourier-modal methods and shows enhanced convergence rate and accuracy.
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Jean-Paul Hugonin, Philippe Lalanne. Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization. Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2005, 22 (9), pp.1844-1849. ⟨hal-00869730⟩

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