A new uniform solution for scattering by thin dielectric strips: TM wave incidence

Scattering from thin dielectric sheets is encountered in certain practical situations. To simplify the problem, a thin dielectric structure is usually modeled by a resistive sheet. Many approximate solutions have been proposed for the problem, which all are based on the known exact solution for a resistive half plane. However, the resulting solutions contain a transcendental function known as Maliuzhinets function. We have proposed an approximate solution for a thin dielectric object with any size and shape. The solution is represented in terms of a spectral integral whose integrand contains only elementary functions. Based on this formal solution, a uniform solution for bistatic scattering by a thin dielectric strip is formulated for a TM wave incidence. Through comparisons of results calculated by the uniform solution and a numerical method, such as the method of moments (MoM), the new formulation is verified for several cases. One advantage of the new formulation is that it is expressed in terms of elementary functions, and thus it is much easier to understand scattering behavior.