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Dyadic Green’s Functions in Spheroidal Systems DYADIC GREEN’S FUNCTIONS To analyze the electromagnetic radiation from an arbitrary current distribution located in a layered inhomogeneous medium, the dyadic Green’s function (DGF) technique is usually adopted. If the geometry involved in the radiation problem is spheroidal, the representation of dyadic Green’s functions under the spheroidal coordinates system should be most convenient. If the source current distribution is known, the electromagnetic fields can be integrated directly from where the DGF plays an important role as the response function of multilayered dielectric media | Spheroidal Wave Functions in Eledrotmignetic Theory Le-Wei Li Xiao-Kang Kang Mook-Seng Leong Copyright 2002 John Wiley Sons Inc. ISBNs 0-471-03170-4 Hardback 0-471-22157-0 Electronic Dyadic Green s Functions in Spheroidal Systems DYADIC GREEN S FUNCTIONS To analyze the electromagnetic radiation from an arbitrary current distribution located in a layered inhomogeneous medium the dyadic Green s function DGF technique is usually adopted. If the geometry involved in the radiation problem is spheroidal the representation of dyadic Green s functions under the spheroidal coordinates system should be most convenient. If the source current distribution is known the electromagnetic fields can be integrated directly from where the DGF plays an important role as the response function of multilayered dielectric media. If the source is of an unknown current distribution the method of moments 87 which expands the current distribution into a series of basis functions with unknown coefficients can be employed. In this case the DGF is considered as a kernel of the integral and the unknown coefficients of the basis functions can be obtained in matrix form by enforcing the boundary conditions to be satisfied. Dyadic Green s functions in various geometries such as single stratified planar cylindrical and spherical structures have been formulated 14 88 90 . In multilayered geometries the DGFs have also been constructed and their coefficients derived. Usually two types of dyadic Green s functions electromagnetic field DGFs and Hertzian vector potential DGFs were expressed. Three methods that are common and available in the literature the Fourier transform technique normally in planar structures only the wave matrix operator and or transmission line frequently in planar structures method and the vector wave eigenfunction expansion method in regular structures 61 62 DYADIC GREEN S FUNCTIONS IN SPHEROIDAL SYSTEMS where vector wave functions are orthogonal . In general two domains are .

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