TELECOMMUNICATIONS AND RADIO ENGINEERING - 2012 Vol. 71,
No 6 		 

 

 

 

SYSTEMS APPROACH TO INVESTIGATING PRE-FRACTAL DIFFRACTION GRATINGS


G.I. Koshovy
National Aerospace University (Kharkov Aviation Institute),
17, Chkalov St., Kharkiv, 61070, Ukraine
E-mail: gikosh@gmail.com

Abstract
The paper is aimed at the development of basis for electromagnetic theory of pre-fractal diffraction gratings (PFDG). Considerable attention is focused on the systems analysis of the process of constructing two classes of self-similar fractals with the variable Hausdorff dimension which represents a base for mathematical ordering of PFDGs. Several mathematical models are presented for the process of interaction of a plane E-polarized electromagnetic wave with a system of cylindrical strips forming a grating. An asymptotic model of weak-field up PFDGs which is efficient for investigating their fractal properties is considered in detail.
KEY WORDS: self-similar fractals, diffraction gratings, numerically-analytical methods, modeling

References

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pages 487-500

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