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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 4 — Apr. 1, 2005
  • pp: 654–661

Group-theoretic approach to the enhancement of the Fourier modal method for crossed gratings: C2 symmetry case

Benfeng Bai and Lifeng Li  »View Author Affiliations

JOSA A, Vol. 22, Issue 4, pp. 654-661 (2005)

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A new formulation of the Fourier modal method for crossed gratings with symmetry considerations is established by using the group-theoretic approach that we have developed recently. Considering crossed gratings with the C 2 symmetry (invariance after rotation about the normal of the mean grating plane through angle π), we present in detail the construction of the new algorithm, illustrate the improved computation efficiency, and discuss its application. It is shown theoretically and numerically that when the grating is Littrow mounted and the truncated reciprocal lattice of the diffracted field also has the C 2 symmetry, the maximum effective truncation number of the algorithm is doubled and the computation time is reduced by a factor of 4. The time saving factor is increased to 8 for the special case of normal incidence.

© 2005 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(260.2110) Physical optics : Electromagnetic optics

Original Manuscript: September 3, 2004
Manuscript Accepted: October 1, 2004
Published: April 1, 2005

Benfeng Bai and Lifeng Li, "Group-theoretic approach to the enhancement of the Fourier modal method for crossed gratings: C2 symmetry case," J. Opt. Soc. Am. A 22, 654-661 (2005)

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