Comparison of three integral formulations for the 2-D TE scattering problem

The source of scattering problems found when computing the internal field distribution in the transverse electric (TE) polarization case for 2-D objects is analyzed. It is shown that a modification introduced in a previous study is not required if an appropriate integral formulation is used. Such a formulation is proposed using generalized functions, and it is compared numerically to several other formulations for inhomogeneous dissipative cylinders whose electromagnetic parameters are close to those of biological tissues. The solution associated with this integral formulation appears to behave better than the others, in comparison with the exact analytical solutions