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Symbolic derivation and numeric computation of dyadic Green's functions using Mathematica

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3 Author(s)
Le-Wei Li ; Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore ; Mook-Seng Leong ; Tat-Soon Yeo

This paper presents a mathematical-software functional package that is capable of performing symbolic derivation and numeric computation of dyadic Green's functions for certain multilayered structures: a planar stratified multilayered medium, a spherical multilayered medium, a cylindrical multilayered medium, and a conducting rectangular waveguide with a multilayered dielectric load. The algorithms of this software package are based on the eigenfunction-expansion method. Using Mathematica/sup TM/, two packages were written to fulfill the aforementioned objectives. Upon completion of the software development, dyadic Green's functions for three-layered media were generated. A comparison of these outputs with published results showed good agreement. This demonstrated the applicability of the symbolic package. For the numeric package, the Green's dyadics for a particular three-layered spherical isotropic multilayered medium were generated as an illustration. These packages have been successfully implemented, and future derivation of dyadic Green's functions for these media may be performed.

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IEEE Antennas and Propagation Magazine  (Volume:43 ,  Issue: 1 )