Numerical evaluation of hypersingular integrals for scattering by a dielectric wedge

Abstract

In the evaluation of hypersingular integrals for scattering by a dielectric wedge, the neighboring-patch contributions were previously examined under the assumption that the small-argument approximation of the Hankel functions could be used. In the present work, this assumption is relaxed. Similar corrections are required in the computation of the field components when the distance between the field point and the patch is small compared to the wavelength. Although the field integrals are finite, the behavior of the integrand is the same as that for the neighboring-patch contributions.<>