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|Title:||Symbolic derivation and numeric computation of dyadic green's functions using mathematica™|
|Authors:||Li, L.-W. |
|Source:||Li, L.-W., Leong, M.-S., Yeo, T.-S. (2001-02). Symbolic derivation and numeric computation of dyadic green's functions using mathematica™. IEEE Antennas and Propagation Magazine 43 (1) : 108+110-112+114. ScholarBank@NUS Repository. https://doi.org/10.1109/74.920023|
|Abstract:||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™, 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.|
|Source Title:||IEEE Antennas and Propagation Magazine|
|Appears in Collections:||Staff Publications|
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