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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: Stephen A. Burns
  • Vol. 25, Iss. 1 — Jan. 1, 2008
  • pp: 40–54

Pseudo-Fourier modal analysis of two-dimensional arbitrarily shaped grating structures

Hwi Kim and Byoungho Lee  »View Author Affiliations


JOSA A, Vol. 25, Issue 1, pp. 40-54 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000040


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Abstract

The pseudo-Fourier modal analysis of two-dimensional arbitrarily shaped grating structures is described. It is shown that the pseudo-Fourier modal analysis has an advantage of improved structure modeling over the conventional rigorous coupled-wave analysis. In the conventional rigorous coupled-wave analysis, grating structures are modeled by the staircase approximation, which is well known to have inherent significant errors under TM polarization. However, in the pseudo-Fourier modal analysis, such a limitation of the staircase approximation can be overcome through the smooth-structure modeling based on two-dimensional Fourier representation. The validity of the claim is proved with some comparative numerical results from the proposed pseudo-Fourier modal analysis and the conventional rigorous coupled-wave analysis.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.6800) General : Theoretical physics
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: July 17, 2007
Revised Manuscript: October 4, 2007
Manuscript Accepted: October 8, 2007
Published: December 5, 2007

Citation
Hwi Kim and Byoungho Lee, "Pseudo-Fourier modal analysis of two-dimensional arbitrarily shaped grating structures," J. Opt. Soc. Am. A 25, 40-54 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-1-40


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References

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