Efficient Determination of the Poles and Residues of Spectral Domain Multilayered Green's Functions That are Relevant in Far-Field Calculations

In this work the total least squares algorithm (TLSA) is applied to the determination of the proper and improper poles of spectral domain multilayered Green's functions that are closer to the branch point, and to the determination of the residues at these poles. The introduction of an adequate...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2010-01, Vol.58 (1), p.218-222
Main Authors: Fructos, A.L., Boix, R.R., Rodriguez-Berral, R., Mesa, F.
Format: Article
Language:English
Subjects:
Antennas
Applied classical electromagnetism
Circuit analysis
Closed-form solution
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Far fields
Fundamental areas of phenomenology (including applications)
Green's function methods
Green's functions
Integral equations
Least squares method
Least squares methods
Mathematical analysis
Moment methods
Nonhomogeneous media
Physics
Poles
Poles and zeros
Residues
Spectra
Surface waves
Transformations
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Summary:In this work the total least squares algorithm (TLSA) is applied to the determination of the proper and improper poles of spectral domain multilayered Green's functions that are closer to the branch point, and to the determination of the residues at these poles. The introduction of an adequate transformation in the spectral domain permits that the TLSA provides accurate values of the poles and residues, regardless of the proximity of the poles to the branch point. It is shown that the poles and residues supplied by the TLSA can be used to write the far field of the spatial domain Green's functions in terms of closed-form expressions that are reliable in a wide variety of scenarios.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2009.2027344