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Extremely Asymmetrical Scattering in Gratings With Varying Mean Structural Parameters

Gramotnev, D. K., Nieminen, T. A. and Hopper, T. A. (2002-07) Extremely Asymmetrical Scattering in Gratings With Varying Mean Structural Parameters. Journal of Modern Optics, 49 9: 1567-1585.

 
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Author(s) Gramotnev, D. K.
Nieminen, T. A.
Hopper, T. A.
Title Extremely Asymmetrical Scattering in Gratings With Varying Mean Structural Parameters
Journal name Journal of Modern Optics
Publication date 2002-07
Volume number 49
Issue number 9
ISSN 0950-0340
Start page 1567
End page 1585
Total pages 19
Place of publication Abingdon
Publisher Taylor & Francis Ltd
Language eng
Subject 240401 Optics and Opto-electronic Physics
Abstract Extremely asymmetrical scattering (EAS) is an unusual type of Bragg scattering in slanted periodic gratings with the scattered wave (the $+1$ diffracted order) propagating parallel to the grating boundaries. Here, a unique and strong sensitivity of EAS to small stepwise variations of mean structural parameters at the grating boundaries is predicted theoretically (by means of approximate and rigorous analyses) for bulk TE electromagnetic waves and slab optical modes of arbitrary polarization in holographic (for bulk waves) and corrugation (for slab modes) gratings. The predicted effects are explained using one of the main physical reasons for EAS---the diffractional divergence of the scattered wave (similar to divergence of a laser beam). The approximate method of analysis is based on this understanding of the role of the divergence of the scattered wave, while the rigorous analysis uses the enhanced T-matrix algorithm. The effect of small and large stepwise variations of the mean permittivity at the grating boundaries is analysed. Two distinctly different and unusual patterns of EAS are predicted in the cases of wide and narrow (compared to a critical width) gratings. Comparison between the approximate and rigorous theories is carried out.
Keyword(s) gratings
extremely asymmetrical scattering
Additional Notes Originally published as D. K. Gramotnev, T. A. Nieminen and T. A. Hopper (2002) Extremely asymmetrical scattering in gratings with varying mean structural parameters, Journal of Modern Optics 49 (9): 1567-1585. Copyright 2002 Taylor & Francis. All rights reserved.
 
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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