ELECTROMAGNETIC SCATTERING FROM A DIELECTRIC WEDGE AND THE SINGLE HYPERSINGULAR INTEGRAL-EQUATION

Electromagnetic fields scattered by a finite dielectric wedge are comp uted using a hypersingular integral equation (HIE). The results are co mpared with those obtained previously using a singular integral equati on (SIE) and with the theory that predicts that the fields near the ed ge of the wedge behave like static fields. The HIE produces more consi stent results than the SIE, probably because the unknown boundary func tion tends to a constant near the edge instead of diverging. The two n umerical methods agree reasonably well, and these results agree only i n part with the static field behavior.