The numerical solution of two-dimensional electromagnetic scattering problems with the boundary element method

The boundary element method (BEM) is presented for two-dimensional scattering problems, which are formulated by a set of boundary integral equations. The numerical solution of the unknown fieldstrengths at the surface is obtained by dividing the boundary of the objects of arbitrary cross-sections into three-noded isoparametric, quadratic elements. This is applied for instance for the axial component of the electric field at objects, which are illuminated by a TM incident plane wave. The efficiency and accuracy of the BEM is demonstrated in an example, where an infinitely long, lossy cylindrical object with a circular cross-section is investigated.