Mode completeness, normalization, and Green´s function of the inset dielectric guide

The inset dielectric guide (IDG) is an easy-to-fabricate alternative to an image line that is also less sensitive to loss by radiation at unwanted discontinuities. The discrete spectrum of the IDG was recently analyzed by the transverse resonance diffraction (TRD) method. The characterization of the spectrum is completed to include the continuum. From a fundamental viewpoint the question of its orthonormalization is also addressed, and the Green´s function of the guide, which is an essential prerequisite to the analysis of IDG components and IDG antenna feeds, is determined. An application to scattering by a dipole on the air-dielectric interface is given