Nesvit K. Mathematical models of electromagnetic waves diffraction on a plane-parallel structures

1. The object of research is the process of diffraction and scattering of electromagnetic waves on plane-parallel pre-Cantor strips, grooves and numerical solution of boundary integral equations. 2. The aim of research is to developed mathematical models of electromagnetic wave diffraction problems on pre-Cantor plane-parallel structures based on hypersingular integral equations and created the algorithms and software for numerical experiments with discrete singularities method. 3. Research methods are the methods of mathematical physics, the theory of differential and integral equations, computational methods, the method of parametric representations hypersingular and singular integral operators, discrete singularities method, computer programming. 4. The theoretical results of the research are to develop the theory solutions of diffraction problem based on hypersingular integral equations. The practical results may be applied for design and optimization of work time for modern devices which consist of perfectly electrically conducting and impedance diffraction grating and groove structures. 5. Scientific novelty of the research is to develop the mathematical models based on hypersingular integral equations for pre-Cantor structures using analytical apparat of parametric representations and to perform the computer simulations by discrete singularities method. 6. Plans to implement. 7. Electronics, radio-electronics.