Scattering from a Metamaterial Hemispherical Boss on an Infinite Plane

ABSTRACT

An exact solution is presented to the problem of scattering of a plane electromagnetic wave from a metamaterial hemispherical boss located on an infinite conducting plane, using the method separation of variables. The formulation is based on an image technique, where the original problem is replaced by that of scattering of two plane waves by the corresponding sphere in the absence of the infinite plane. The solution is obtained by expressing all the electromagnetic fields associated with the problem in terms of vector spherical wave functions, and then imposing the appropriate boundary conditions. Numerical results are presented as normalized backscattering cross sections for hemispherical bosses of different sizes and types, for both transverse electric and transverse magnetic polarizations of the incident wave.