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Grazing-Angle Scattering of Electromagnetic Waves in Gratings With Varying Mean Parameters: Grating Eigenmodes

Gramotnev, D. K., Goodman, S. J. and Nieminen, T. A. (2004-01-01) Grazing-Angle Scattering of Electromagnetic Waves in Gratings With Varying Mean Parameters: Grating Eigenmodes. Journal of Modern Optics, 51 3: 379-397.

 
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Author(s) Gramotnev, D. K.
Goodman, S. J.
Nieminen, T. A.
Title Grazing-Angle Scattering of Electromagnetic Waves in Gratings With Varying Mean Parameters: Grating Eigenmodes
Journal name Journal of Modern Optics
Publication date 2004-01-01
Volume number 51
Issue number 3
ISSN 0950-0340
Start page 379
End page 397
Editor(s) P. L. Knight
Place of publication United Kingdom
Publisher Taylor & Francis Ltd
Collection year 2004
Language eng
Subject 240400 Optical Physics
C1
780102 Physical sciences
Abstract A highly unusual pattern of strong multiple resonances for bulk electromagnetic waves is predicted and analysed numerically in thick periodic holographic gratings in a slab with the mean permittivity that is larger than that of the surrounding media. This pattern is shown to exist in the geometry of grazing-angle scattering (GAS), that is when the scattered wave (+1 diffracted order) in the slab propagates almost parallel to the slab (grating) boundaries. The predicted resonances are demonstrated to be unrelated to resonant generation of the conventional guided modes of the slab. Their physical explanation is associated with resonant generation of a completely new type of eigenmodes in a thick slab with a periodic grating. These new slab eigenmodes are generically related to the grating; they do not exist if the grating amplitude is zero. The field structure of these eigenmodes and their dependence on structural and wave parameters is analysed. The results are extended to the case of GAS of guided modes in a slab with a periodic groove array of small corrugation amplitude and small variations in the mean thickness of the slab at the array boundaries.
Keyword(s) gratings
electromagnetic waves
grazing-angle scattering
GAS
eigenmodes
Additional Notes Originally published as D. K. Gramotnev, S. J. Goodman, T. A. Nieminen (2004) Grazing-angle scattering of electromagnetic waves in gratings with varying mean parameters: grating eigenmodes, Journal of Modern Optics, 51 (3): 379-397. Copyright Taylor & Francis 2004. All rights reserved.
 
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http://www.arxiv.org/abs/physics/0509029  
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http://dx.doi.org/10.1080/09500340310001608811  
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Created: Tue, 06 Sep 2005, 10:00:00 EST by Timo Nieminen on behalf of School of Mathematics & Physics. Detailed History