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Convergent Expressions for Periodic Potentials in Stratified Media Using Asymptotic Extractions
- Source :
- IEEE Transactions on Magnetics, IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2016, 52 (3), pp.7207804. ⟨10.1109/TMAG.2015.2499087⟩, IEEE Transactions on Magnetics, 2016, 52 (3), pp.7207804. ⟨10.1109/TMAG.2015.2499087⟩
- Publication Year :
- 2016
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2016.
-
Abstract
- International audience; The efficient computation of periodic Green's functions is discussed here for an arbitrarily directed array of point sources in layered media. These Green's functions are necessary to formulate boundary integral equations for arrays of scatterers inside a general layered medium, solved with the method of moments in the spatial domain. For this reason, mixed-potential Green's functions-having a mild spatial singularity-are selected. The case of horizontally oriented dipoles is rather simple and has been previously solved. On the other hand, the case of vertically oriented dipoles (i.e., aligned perpendicular to the layers) is more intricate, since the extracted terms cannot be transformed into well-known Green's functions. Previous works dealt with arrays of line and point sources, but did not address the critical task of computing the curl of the dyadic potentials, required to treat slot arrays and dielectric inclusions, whose available Floquet series expressions do not converge if the source and observation points lie in the same transverse plane.
- Subjects :
- Floquet theory
010504 meteorology & atmospheric sciences
Computation
02 engineering and technology
Dielectric
Green’s function
mixed potential
01 natural sciences
Optics
0202 electrical engineering, electronic engineering, information engineering
Perpendicular
Ewald method
Electrical and Electronic Engineering
0105 earth and related environmental sciences
Curl (mathematics)
Physics
business.industry
Mathematical analysis
020206 networking & telecommunications
Electronic, Optical and Magnetic Materials
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
Transverse plane
Dipole
Electric potential
Green’s functions
layered media
leaky-wave antennas
mixed potentials
periodic problems
leaky-wave antenna
business
Subjects
Details
- ISSN :
- 19410069 and 00189464
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Magnetics
- Accession number :
- edsair.doi.dedup.....e378a2c43d64a8ffaaf22460e8fdf5bd