Diffraction problem of scattering and propagation TM wave on pre-fractal impedance strips above shielded dielectric layer

Abstract

In this paper a discrete mathematical model of the diffraction of a plane electromagnetic wave by pre-Cantor impedance strips on a shielded dielectric layer is developed. The TM wave case is considered. The mathematical model is based on the boundary singular integral equation (SIE) of the first kind with supplementary conditions and the Volterra integral equation (IE) of the second kind. Numerical experiments may be carried out based on this discrete mathematical model using the discrete singularities method (DSM).

Computational modeling of hypersingular integral equations for 2D pre-cantor scattering structure

“…Current article describes a computational modeling of hypersingular integral equations and is continuation of the paper [20], where were consider the diffraction structure with impedance strips. Mathematical model more difficult structures with PEC thin strips above reflector have been considered in [21], with shielded dielectric layer based on singular integral equations in paper [22]. Some compared results for different structures which are resolve by discrete singularities method were consider in [23].…”