SYSTEMS APPROACH TO INVESTIGATING PRE-FRACTAL DIFFRACTION GRATINGS

摘要

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.