Well-conditioned T-matrix formulation for scattering by a dielectric obstacle

The classic formulation of the extended boundary condition method is revisited to inject regularization operators for unknown coefficients eigen-function expansions travelling and standing waves throughout dielectric scatterer. It shown that, using new definitions, existing algorithm scattering field calculation can be kept same its well-conditioned version. This exemplified scalar 2D problems both TM TE polarization under illumination a line source. numbers matrix in version are drastically reduced when interfaces eigen-surfaces expansions, i.e. circles on boundaries counter null-fields. arbitrariness interface involved calculations, via parameterized contours effects elongation corrugation contour extensively discussed comparison with results integral equation problem