Title

Nonparaxial scalar treatment of sinusoidal phase gratings

Authors

Authors

J. E. Harvey; A. Krywonos;D. Bogunovic

Comments

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Abbreviated Journal Title

J. Opt. Soc. Am. A-Opt. Image Sci. Vis.

Keywords

DIFFRACTION THEORY; FUNDAMENTAL QUANTITY; ANOMALIES; RADIANCE; LIMITS; Optics

Abstract

Scalar diffraction theory is frequently considered inadequate for predicting diffraction efficiencies for grating applications where lambda/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. (c) 2006 Optical Society of America.

Journal Title

Journal of the Optical Society of America a-Optics Image Science and Vision

Volume

23

Issue/Number

4

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

858

Last Page

865

WOS Identifier

WOS:000236300900013

ISSN

1084-7529

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