Electromagnetic scattering from a dielectric wedge and the single hypersingular integral equation

Electromagnetic fields scattered by a finite dielectric wedge are computed using a hypersingular integral equation (HIE). The results are compared with those obtained previously using a singular integral equation (SIE) and with the theory that predicts that the fields near the edge of the wedge behave like static fields. The HIE produces more consistent results than the SIE, probably because the unknown boundary function tends to a constant near the edge instead of diverging. The two numerical methods agree reasonably well, and these results agree only in part with the static field behavior