An approximate solution of the high frequency plane electromagnetic wave scattering from a strip with different surface impedances E-polarization case

In this study, diffraction of the e-polarized plane wave with an infinitely long strip with different impedance on both surfaces, having a wide of 2a was studied using an analytic-numerical method. The scattered field is expressed by a system of integral equations in terms of the electric and magnetic currents densities induced on the surfaces of the strip. This system of integral equation is decreased to a system of linear equation using the well known properties of the sine and dirac delta functions. Solving this system of linear equation the Fourier transforms of the surface magnetic and electric current densities are derived and then the total scattering cross section is calculated approximatelly using the asymptotic behavior of Hankel funcion. As a result, the scattering cross section versus surface impedances, incident angle and frequency.