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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. 23, Iss. 4 — Apr. 1, 2006
  • pp: 858–865

Optics InfoBase > JOSA A > Volume 23 > Issue 4 > Page 858

Nonparaxial scalar treatment of sinusoidal phase gratings

James E. Harvey, Andrey Krywonos, and Dijana Bogunovic  »View Author Affiliations


JOSA A, Vol. 23, Issue 4, pp. 858-865 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000858


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Abstract

Scalar diffraction theory is frequently considered inadequate for predicting diffraction efficiencies for grating applications where λ ∕ d > 0.1 . It has also been stated that scalar theory imposes energy upon the evanescent diffracted orders. These notions, as well as several other common misconceptions, are driven more by an unnecessary paraxial approximation in the traditional Fourier treatment of scalar diffraction theory than by the scalar limitation. By scaling the spatial variables by the wavelength, we have previously shown that diffracted radiance is shift invariant in direction cosine space. Thus simple Fourier techniques can now be used to predict a variety of wide-angle (nonparaxial) diffraction grating effects. These include (1) the redistribution of energy from the evanescent orders to the propagating ones, (2) the angular broadening (and apparent shifting) of wide-angle diffracted orders, and (3) nonparaxial diffraction efficiencies predicted with an accuracy usually thought to require rigorous electromagnetic theory.

© 2006 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings
(050.2770) Diffraction and gratings : Gratings
(260.1960) Physical optics : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: May 2, 2005
Revised Manuscript: August 19, 2005
Manuscript Accepted: August 24, 2005

Citation
James E. Harvey, Andrey Krywonos, and Dijana Bogunovic, "Nonparaxial scalar treatment of sinusoidal phase gratings," J. Opt. Soc. Am. A 23, 858-865 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-4-858

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