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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 5 — May. 1, 2004
  • pp: 777–785

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

Xiang Gao, Mark S. Mirotznik, Shouyuan Shi, and Dennis W. Prather  »View Author Affiliations


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

History
Original Manuscript: July 24, 2003
Revised Manuscript: January 6, 2004
Manuscript Accepted: January 6, 2004
Published: May 1, 2004

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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