Generalized Transition Matrix for Arbitrarily Shaped Scatterers With Composite Structures

A scatterer is regarded as a one-port device, and an associated generalized transition matrix is defined uniquely to describe the relationships between the rotated tangential scattered field components and the rotated tangential incident field components on a specified reference surface. The reference surface can be moved to proper surfaces with regular shapes, or even be extended to include a group of scatterers with arbitrary shapes and different materials. Furthermore, scatterers connected with perfectly electric conducting (PEC) plates can also be handled with this one-port device model. Numerical results in two dimensions are provided to show that the generalized transition matrix is effective in analyzing large-scale scattering systems.