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Interaction of E-Polarized Wave With Prefractal Weakly Filled Diffraction Gratings (an asymptotical model)

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Author(s): G.I. Koshovy | О.О. Shmat’ko

Journal: Journal of Nano- and Electronic Physics
ISSN 2077-6772

Volume: 3;
Issue: 2;
Date: 2011;
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Keywords: Electromagnetic Waves | Fractal Modeling | Diffraction Gratings | Integral Equations

ABSTRACT
An asymptotical model of E-polarized electromagnetic wave interaction with weakly filled prefractal diffraction grating (PFDG) is considered in details on the base of rigorous electromagnetic theory. A stage of construction for Cantor set with variable Hausdorff dimension is used for PFDG order. An integral equation technique with usage of asymptotical approach and Carleman inversion formula is applied. Asymp-totical formulas for determination of the main electromagnetic characteristics are obtained. Numerical experiments are done to find the fractal properties of the pre-fractal grating.
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