## Applying a mapped pseudospectral time-domain method in simulating diffractive optical elements

JOSA A, Vol. 21, Issue 5, pp. 777-785 (2004)

http://dx.doi.org/10.1364/JOSAA.21.000777

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### Abstract

A new technique for the analysis of two-dimensional diffractive optical elements, by use of the pseudospectral time-domain (PSTD) method, is presented. In particular, the method uses a nonuniform (NU) grid and a mapping technique to obtain very accurate spatial derivatives in an efficient manner. To this end, we present the formulation of the PSTD method by using a NU grid and compare its application to the analysis with that of the finite-difference time-domain (FDTD) method. Using only a fraction of the memory and a fraction of the computation time used by FDTD, the mapped PSTD was able to obtain very close results to FDTD.

© 2004 Optical Society of America

**OCIS Codes**

(050.1970) Diffraction and gratings : Diffractive optics

(220.3620) Optical design and fabrication : Lens system design

(350.3950) Other areas of optics : Micro-optics

**Citation**

Xiang Gao, Mark S. Mirotznik, Shouyuan Shi, and Dennis W. Prather, "Applying a mapped pseudospectral time-domain method in simulating diffractive optical elements," J. Opt. Soc. Am. A **21**, 777-785 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-5-777

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