Coupled Integral Equation Solution for Two Dimensional Bistatic TE scatter from a Conducting Cavity-Backed Infinite Plane

The purpose of this thesis is to determine the scattered electromagnetic fields and radar cross section from a two-dimensional cavity in a perfectly electric conducting infinite plane. This is accomplished by deriving a coupled set of Fredholm integral equations of the second kind. A set of integral equations outside the cavity and a set of integral equations inside the cavity are coupled together at the interface. The Fredholm integral equations of the second kind for the outside of the cavity use a Green's function with Neumann boundry conditions to avoid an integration over the infinite plane for a transverse electric incident plane wave. An example problem is introduced and numerically solved to test the application of the newly derived equations. Keywords: Electromagnetic scatter, Integral equations, Fredholm two-dimensional cavity, Radar cross sections.