Abstract
A complete set of three dimensional multilayered media Green's functions is presented for general electric and magnetic sources. The Green's functions are derived in the mixed potential form, which is identical with the Michalski-Zheng C-formulation. The approach applied in this paper is based on the classical Hertz potential representation. A special emphasis is on the formulation of the dyadic Green's functions GHJ and GEM. In these functions the derivatives due to the curl operator are taken in the spectral domain. This avoids the need of the numerical differentiation. Furthermore, it is found that the Hertzian potentials satisfy several useful duality and reciprocity relations. By these relations the computational efficiency of the Hertz potential approach can be significantly improved and the number of required Sommerfeld integrals can be essentially reduced. We show that all spectral domain Green's functions can be obtained from only two spectral domain Hertzian potentials, which correspond to the TE component of a vertical magnetic dipole and the TM component of a vertical electric dipole. The derived formulas are verified by numerical examples.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call