CLOSED-FORM GREENS-FUNCTIONS FOR GENERAL SOURCES AND STRATIFIED MEDIA

The closed-form Green's functions of the vector and scalar potentials in the spatial domain are presented for the sources of horizontal elec tric, magnetic, and vertical electric, magnetic dipoles embedded in ge neral, multilayer, planar media. First, the spectral domain Green's fu nctions in an arbitrary layer are derived analytically from the Green' s functions in the source layer by using a recursive algorithm. Then, the spatial domain Green's functions are obtained by adding the contri butions of the direct terms, surface waves, and complex images approxi mated by the Generalized Pencil of Functions Method (GPOF). In the der ivations, the main emphasis is to put these closed-form representation s in a suitable form for the solution of the mixed potential integral equation (MPIE) by the method of moments in a general three-dimensiona l geometry. The contributions of this paper are: 1) providing the comp lete set of closed-form Green's functions in spectral and spatial doma ins for general stratified media; 2) using the GPOF method, which is m ore robust and less noise sensitive, in the derivation of the closed-f orm spatial domain Green's functions; and 3) casting the closed-form G reen's functions in a form to provide efficient applications of the me thod of moments.