High-order finite difference modal method for diffraction gratings

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)800-808
Journal / PublicationJournal of Modern Optics
Issue number9
Publication statusPublished - 20 May 2012


A new high-order finite difference modal method (FDMM) is developed for analyzing diffraction gratings in conical and classical mountings. The difference scheme is constructed by enforcing the internal interface conditions in each grating layer to high-order derivatives, and it gives a high order of accuracy for computing the eigenmodes of the grating layer. Between different layers, the interface conditions are implemented using a Fourier matching scheme and a point matching scheme. Compared with the standard Fourier modal method, the high-order FDMM is more efficient since the matrices in the discretized eigenvalue problems are sparse. Numerical examples are used to illustrate the performance of the method. © 2012 Copyright Taylor and Francis Group, LLC.

Research Area(s)

  • diffraction gratings, finite difference method, modal method, numerical methods