Electromagnetic fields in the presence of an infinite meta-material wedge

Abstract

The Kontorovich-Lebedev transform is applied to determine the electromagnetic fields in the presence of an infinite wedge of arbitrary doubly-negative (negative electric and negative magnetic) constants excited by an electric linesource. Uncoupled singular integral equations for the spectral amplitudes inside and outside the meta-material wedge are derived by analytically continuing those of an ordinary material wedge and numerically solved by a successive approximation scheme. Near fields inside and outside the wedge are asymptotically approximated by a residue series. The far field inside the wedge is obtained by direct integration of the Kontorovich-Lebedev integrals; the far field outside the wedge is asymptotically approximated by a residue series. Extension to the plane wave illumination case is also given. Numerical results, for the near and far fields, showing the influence of a meta-material wedge on the directivity of an electric line source as well as the scattered fields due to an incident plane wave are presented. The results are also compared with those reported in the limit of an ideal (lossless unit-index) meta-material wedge.