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Symbolic derivation and numeric computation of dyadic Green's functions using Mathematica
- Source :
- IEEE Antennas and Propagation Magazine. 43:108-118
- Publication Year :
- 2001
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2001.
-
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/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.
- Subjects :
- Theoretical computer science
business.industry
Computer science
Computation
Isotropy
Software development
Condensed Matter Physics
Software package
Computational science
Green S
chemistry.chemical_compound
Planar
chemistry
Electromagnetic wave scattering
Electrical and Electronic Engineering
business
Dyadics
Subjects
Details
- ISSN :
- 10459243
- Volume :
- 43
- Database :
- OpenAIRE
- Journal :
- IEEE Antennas and Propagation Magazine
- Accession number :
- edsair.doi...........084cab5d8881bfe251a523fc8b7e9034