The T-matrix method for solving two-dimensional scattering problems

Abstract

The two-dimensional scattering problem of a perfectly conducting cylinder S of arbitrary cross section is examined using the T-matrix method. Both the TM-polarization and the TE-polarization are considered by imposing homogeneous Dirichlet and Neumann boundary conditions on S, respectively. Explicit expressions for the circular cylinder are derived and compared to classical Mie series expansion.