## Numerical performance of finite-difference modal methods for the electromagnetic analysis of one-dimensional lamellar gratings

JOSA A, Vol. 17, Issue 6, pp. 1033-1042 (2000)

http://dx.doi.org/10.1364/JOSAA.17.001033

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### Abstract

The numerical performance of a finite-difference modal method for the analysis of one-dimensional lamellar gratings in a classical mounting is studied. The method is simple and relies on first-order finite difference in the grating to solve the Maxwell differential equations. The finite-difference scheme incorporates three features that accelerate the convergence performance of the method: (1) The discrete permittivity is interpolated at the lamellar boundaries, (2) mesh points are located on the permittivity discontinuities, and (3) a nonuniform sampling with increased resolution is performed near the discontinuities. Although the performance achieved with the present method remains inferior to that achieved with up-to-date grating theories such as rigorous coupled-wave analysis with adaptive spatial resolution, it is found that the present method offers rather good performance for metallic gratings operating in the visible and near-infrared regions of the spectrum, especially for TM polarization.

© 2000 Optical Society of America

**OCIS Codes**

(050.1950) Diffraction and gratings : Diffraction gratings

(050.1970) Diffraction and gratings : Diffractive optics

(050.2770) Diffraction and gratings : Gratings

**Citation**

Philippe Lalanne and Jean-Paul Hugonin, "Numerical performance of finite-difference modal methods for the electromagnetic analysis of one-dimensional lamellar gratings," J. Opt. Soc. Am. A **17**, 1033-1042 (2000)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-6-1033

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