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Rigorous Analysis of Grazing-Angle Scattering of Electromagnetic Waves in Periodic Gratings

Gramotnev, D. K. and Nieminen, T. A. (2003-01-01) Rigorous Analysis of Grazing-Angle Scattering of Electromagnetic Waves in Periodic Gratings. Optics Communications, 219 1-6: 33-48.

 
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Author(s) Gramotnev, D. K.
Nieminen, T. A.
Title Rigorous Analysis of Grazing-Angle Scattering of Electromagnetic Waves in Periodic Gratings
Journal name Optics Communications
Publication date 2003-01-01
Volume number 219
Issue number 1-6
ISSN 0030-4018
Start page 33
End page 48
Total pages 16
Editor(s) F. Abeles
Place of publication Netherlands
Publisher Elsevier BV, North Holland
Collection year 2003
Language eng
Subject 240401 Optics and Opto-electronic Physics
C1
780102 Physical sciences
Abstract Grazing-angle scattering (GAS) is a type of Bragg scattering of waves in slanted non-uniform periodic gratings, when the diffracted order satisfying the Bragg condition propagates at a grazing angle with respect to the boundaries of a slab-like grating. Rigorous analysis of GAS of bulk TE electromagnetic waves is undertaken in holographic gratings by means of the enhanced T-matrix algorithm. A comparison of the rigorous and the previously developed approximate theories of GAS is carried out. A complex pattern of numerous previously unknown resonances is discovered and analysed in detail for gratings with large amplitude, for which the approximate theory fails. These resonances are associated not only with the geometry of GAS, but are also typical for wide transmitting gratings. Their dependence on grating amplitude, angles of incidence and scattering, and grating width is investigated numerically. Physical interpretation of the predicted resonances is linked to the existence and the resonant generation of special new eigenmodes of slanted gratings. Main properties of these modes and their field structure are discussed.
Keyword(s) gratings
grazing-angle scattering
amplitude
periodic gratings
scattering
rigorous coupled wave theory
bulk optical waves
Additional Notes Originally published as D. K. Gramotnev and T. A. Nieminen (2003) Rigorous analysis of grazing-angle scattering of electromagnetic waves in periodic gratings, Optics Communications, 219 (1-6): 33-48. Copyright (2003) Elsevier. All rights reserved.
 
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http://www.arxiv.org/abs/physics/0509040  
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Created: Wed, 07 Sep 2005, 10:00:00 EST by Timo Nieminen on behalf of School of Mathematics & Physics. Detailed History