paper

General analytical solution for the electromagnetic grating diffraction problem

arXiv:1701.08434 · doi:10.1364/OE.25.013435

Abstract

Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix. Simultaneously it is shown that the validity of the Rayleigh expansion is defined by the validity of the modal expansion in a transformed medium delivered by the coordinate transformation.

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