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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: 1115–1126

Effective grating theory for resonance domain surface-relief diffraction gratings

Michael A. Golub and Asher A. Friesem  »View Author Affiliations


JOSA A, Vol. 22, Issue 6, pp. 1115-1126 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001115


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Abstract

An effective grating model, which generalizes effective-medium theory to the case of resonance domain surface-relief gratings, is presented. In addition to the zero order, it takes into account the first diffraction order, which obeys the Bragg condition. Modeling the surface-relief grating as an effective grating with two diffraction orders provides closed-form analytical relationships between efficiency and grating parameters. The aspect ratio, the grating period, and the required incidence angle that would lead to high diffraction efficiencies are predicted for TE and TM polarization and verified by rigorous numerical calculations.

© 2005 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(050.2770) Diffraction and gratings : Gratings
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: August 3, 2004
Revised Manuscript: December 15, 2004
Manuscript Accepted: December 15, 2004
Published: June 1, 2005

Citation
Michael A. Golub and Asher A. Friesem, "Effective grating theory for resonance domain surface-relief diffraction gratings," J. Opt. Soc. Am. A 22, 1115-1126 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-6-1115

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