Interaction of E-Polarized Wave With Prefractal Weakly Filled Diffraction Gratings (an Asymptotical Model)

Authors G.I. Koshovy1, О.О. Shmat’ko2
Affiliations 1 National Aerospace University “KhAI”, 17, Chkalov Str., 61070 Kharkov, Ukraine
V.N. Karazin Kharkiv National University, 4, Svobody Sq. 61077 Kharkov, Ukraine
Issue Volume 3, Year 2011, Number 2
Dates Received 01 November 2010, in final form 12 February 2011, published online 02 April 2011
Citation G.I. Koshovy, О.О. Shmat’ko, J.Nano- Electron. Phys. 3 No2, (2011) (English version in progress)
PACS Number(s) 07.57. – c, 02.30. Rz
Keywords Electromagnetic waves (3) , Fractal modeling, Diffraction gratings, Integral equations.
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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