Full-wave analytical explicit expressions for the surface fields of an electrically large horizontal circular loop antenna placed on a layered ground

This study presents full-wave analytical explicit expressions for the time-harmonic surface fields of a large horizontal circular loop antenna located on a multilayer Earth. The expressions are derived by applying the following procedure. First, the complete integral representations for the EM field...

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Bibliographic Details
Published in:IET microwaves, antennas & propagation Vol. 11; no. 6; pp. 929 - 934
Main Author: Parise, Mauro
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 12.05.2017
Subjects:
antenna radiation patterns
closed‐contour integrals
electrically large horizontal circular loop antenna
EM field components
full‐wave analytical explicit expressions
generic branch‐cut integral
large horizontal circular loop antenna
loop antennas
numerical analysis
Research Article
square‐root algorithm‐based partial fraction expansion
square‐root term
time‐harmonic surface fields
closed-contour integrals
large horizontal circular loop antenna
antenna radiation patterns
electrically large horizontal circular loop antenna
time-harmonic surface fields
loop antennas
generic branch-cut integral
numerical analysis
square-root term
EM field components
full-wave analytical explicit expressions
square-root algorithm-based partial fraction expansion
ISSN:1751-8725, 1751-8733
Online Access:Get full text
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Summary:This study presents full-wave analytical explicit expressions for the time-harmonic surface fields of a large horizontal circular loop antenna located on a multilayer Earth. The expressions are derived by applying the following procedure. First, the complete integral representations for the EM field components are decomposed into three parts, that is, the residue contributions from the poles of the integrands and the two branch-cut integrals associated with the wavenumbers in free-space and in the bottom layer of the stratified medium. Next, the square-root term that generates the branch cut is extracted from the integrand of the generic branch-cut integral. Finally, the square-root algorithm-based partial fraction expansion is applied to each extracted square-root term, so as to convert the branch-cut integrals into closed-contour integrals around a set of pole singularities, which can be straightforwardly evaluated. As a result of the developed procedure, the fields are expressed as convergent sums of special functions. Numerical results are presented to validate the proposed formulation. In addition to being accurate, the derived formulas offer advantages in terms of computation time over standard numerical integration techniques.
ISSN:1751-8725
1751-8733
DOI:10.1049/iet-map.2016.0590