Elementary radiator located at the boundary or inside a layered structure

A rigorous theory of radiation from an elementary dipole located at the boundary or inside a plane-layered structure is considered. For a specific case of radiation from a dipole located at the free boundary of one film, a method of analytical simplification of the solution is demonstrated. This method made it possible to reduce the formulas for the emitted fields to one-dimensional integrals, which greatly simplified the analysis of the problem and accelerated the numerical calculations. As a specific technical application of the theory, the directivity patterns of point emitters (molecules, nanostructures) located on the free surface of a metal film in the Kretschman scheme and having an induced dipole moment along the film surface were obtained. The influence of the surface wave on the directional properties of the radiators is determined.