Plane wave diffraction by a resistive strip

In this paper, we shall analyze the plane wave diffraction by a resistive strip using the analytical - numerical approach. It is entirely different from the previous methods employed to solve the impedance-related problems. Applying the boundary condition to an integral representation of the scattered field, the problem is formulated as an integral equation, satisfied by the unknown current density function. Expanding the current density function in terms of the Gegenbauer polynomials by taking into account the edge condition, our problem is reduced to the solution of an infinite system of linear algebraic equations (SLAE) satisfied by the unknown expansion coefficients. These coefficients are determined numerically with high accuracy via truncation of the SLAE. The scattered field is evaluated asymptotically and the far field expression is derived. Numerical examples on the total scattering cross section and the monostatic radar cross section are presented. The far field scattering characteristics are discussed. Some comparisons with a high-frequency technique are also given to validate the present approach.