SCATTERING OF THE E-POLARIZED ELECTROMAGNETIC WAVE BY SOLITUDE CONDUCTIVE STRIP WITH IMPEDANCE

The key problem of scattering of a plane E - polarized electromagnetic wave by a solitude electrically conductive impedance strip is studied in detail. A well-posed full-wave mathematical model of scattering in the form of the first order singular integral equation was obtained by applying a modifica- tion of a classical method if integral equations. To examine this singular integral equation two basic methods were used. The first one is remarkable Lord Rayleigh’s asymptotic method, which delivers an explicit analytical solution in a narrow frequency range. It deals with the long-wave case of the plane E - polarized electromagnetic wave scattering problem. The second method is a direct numerical method, dealing with approximate computa- tion of definite integrals, which gives an approximate solution as well, but in the full-frequency range. A series of numerical experiments on scattering a E-polarized electromagnetic wave by impedance strip were carried out and are presented in this paper. Comparing of computation results shows good agreement in long-wave case of the plane E - polarized electromagnetic wave scattering problem, which indicates the correctness of numeric compu- tation in full frequency range as well.