Plane wave diffraction by a resistive strip

The analysis of the scattering by resistive strips is an important subject in diffraction theory. This geometry can be regarded as a suitable model of thin dielectric slabs and coating of finite length which are often used for radar cross section (RCS) reduction. In this paper, we shall analyze the plane wave diffraction by a resistive strip using the analytical-numerical approach which 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