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PIER PIER B PIER C PIER M PIER Letters
Multilayered Media Green's Functions for Mpie with General Electric and Magnetic Sources by the Hertz Potential Approach
By
Pasi Yla-Oijala,

    Dr. Pasi Yla-Oijala

    Department of Radio Science and Engineering

    Aalto University

    Finland

    Homepage

Matti Taskinen,

    Dr. Matti Taskinen

    Helsinki University of Technology

    Finland

    Homepage

Jukka Sarvas

    Dr. Jukka Sarvas

    Helsinki University of Technology

    Finland

    Homepage

, Vol. 33, 141-165, 2001
doi:10.2528/PIER00120802
Abstract
A complete set of three dimensional multilayered media Green's functions is presentedfor general electric andmagnetic sources. The Green's functions are derived in the mixed potential form, which is identical with the Michalski-Zheng C-formulation. The approach appliedin this paper is basedon 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 needof the numerical differentiation. Furthermore, it is foundthat the Hertzian potentials satisfy several useful duality and reciprocity relations. By these relations the computational efficiency of the Hertz potential approach can be significantly improvedandthe number of requiredSommerfeldin tegrals 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.
Citation
Pasi Yla-Oijala, Matti Taskinen, and Jukka Sarvas, "Multilayered Media Green's Functions for Mpie with General Electric and Magnetic Sources by the Hertz Potential Approach," , Vol. 33, 141-165, 2001.
doi:10.2528/PIER00120802
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