SCALARIZATION OF DYADIC SPECTRAL GREENS-FUNCTIONS AND NETWORK FORMALISM FOR 3-DIMENSIONAL FULL-WAVE ANALYSIS OF PLANAR LINES AND ANTENNAS

A novel and systematic method is presented for the complete determinat ion of dyadic spectral Green's functions directly from Maxwell's equat ions. With the use of generalized scalarizations developed in this pap er, four general and concise expressions for the spectral Green's func tions for one-dimensionally inhomogeneous multilayer structures, excit ed by three-dimensional electric and magnetic current sources, are giv en in terms of modal amplitudes together with appropriate explicit sin gular terms at the source region. It is shown that Maxwell's equations in spectral-domain can be reduced, by using dyadic spectral eigenfunc tions, to two sets of z-dependent inhomogeneous transmission-line equa tions for the modal amplitudes. One set of the transmission-line equat ions are due to the transverse current sources and the other set due t o the vertical current sources. Utilizing these equations, network sch ematizations of the excitation, transmission and reflection processes of three-dimensional electromagnetic waves in one-dimensionally inhomo geneous multilayer structures are achieved in a full-wave manner. The determination of the spectral Green's functions becomes so simple that it is accomplished by the investigation of voltages and currents on t he derived equivalent circuits. Examples of single- and multilayer str uctures are used to validate the general expressions and the equivalen t circuits.