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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 5 — May. 1, 2010
  • pp: 1024–1031

Formulation of the normal vector RCWA for symmetric crossed gratings in symmetric mountings

Joerg Bischoff  »View Author Affiliations


JOSA A, Vol. 27, Issue 5, pp. 1024-1031 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001024


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Abstract

The utilization of symmetries in rigorous coupled wave analysis in order to reduce the matrix sizes and thus the computation time is an appropriate measure for an effective numerical implementation with no loss of accuracy. Another method to improve the convergence is the so-called normal vector method. This method is based on the transformation of the components of the electromagnetic fields in a lateral plane (or slice) from global coordinates into local normal and tangential coordinates relative to the boundaries between two different materials. In this way, the lateral boundary conditions of the electromagnetic field can be imposed more correctly as opposed to the traditional approximation introduced by Li, resulting in a better convergence in many cases. This paper shows how both methods can be combined to attain an optimum solution.

© 2010 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: December 1, 2009
Revised Manuscript: March 4, 2010
Manuscript Accepted: March 6, 2010
Published: April 12, 2010

Citation
Joerg Bischoff, "Formulation of the normal vector RCWA for symmetric crossed gratings in symmetric mountings," J. Opt. Soc. Am. A 27, 1024-1031 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-5-1024

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