## Effective grating theory for resonance domain surface-relief diffraction gratings

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

**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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