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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. 22, Iss. 6 — Jun. 1, 2005
  • pp: 1106–1114

Adaptive finite-element method for diffraction gratings

Gang Bao, Zhiming Chen, and Haijun Wu  »View Author Affiliations


JOSA A, Vol. 22, Issue 6, pp. 1106-1114 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001106


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Abstract

A second-order finite-element adaptive strategy with error control for one-dimensional grating problems is developed. The unbounded computational domain is truncated to a bounded one by a perfectly-matched-layer (PML) technique. The PML parameters, such as the thickness of the layer and the medium properties, are determined through sharp a posteriori error estimates. The adaptive finite-element method is expected to increase significantly the accuracy and efficiency of the discretization as well as reduce the computation cost. Numerical experiments are included to illustrate the competitiveness of the proposed adaptive method.

© 2005 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(200.0200) Optics in computing : Optics in computing

History
Original Manuscript: October 19, 2004
Manuscript Accepted: December 10, 2004
Published: June 1, 2005

Citation
Gang Bao, Zhiming Chen, and Haijun Wu, "Adaptive finite-element method for diffraction gratings," J. Opt. Soc. Am. A 22, 1106-1114 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-6-1106

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