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

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Title: Full-wave analytical explicit expressions for the surface fields of an electrically large horizontal circular loop antenna placed on a layered ground.
Authors: Parise, Mauro1 m.parise@unicampus.it
Source: IET Microwaves, Antennas & Propagation (Wiley-Blackwell). 2017, Vol. 11 Issue 6, p929-934. 6p.
Subjects: Full-wave rectifiers, Surfaces (Physics), Loop antennas, Harmonic analysis (Mathematics), Integrals, Wavenumber
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of IET Microwaves, Antennas & Propagation (Wiley-Blackwell) is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Full-wave analytical explicit expressions for the surface fields of an electrically large horizontal circular loop antenna placed on a layered ground.
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  Data: <searchLink fieldCode="AR" term="%22Parise%2C+Mauro%22">Parise, Mauro</searchLink><relatesTo>1</relatesTo><i> m.parise@unicampus.it</i>
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  Data: <searchLink fieldCode="JN" term="%22IET+Microwaves%2C+Antennas+%26+Propagation+%28Wiley-Blackwell%29%22">IET Microwaves, Antennas & Propagation (Wiley-Blackwell)</searchLink>. 2017, Vol. 11 Issue 6, p929-934. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Full-wave+rectifiers%22">Full-wave rectifiers</searchLink><br /><searchLink fieldCode="DE" term="%22Surfaces+%28Physics%29%22">Surfaces (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Loop+antennas%22">Loop antennas</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+analysis+%28Mathematics%29%22">Harmonic analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Integrals%22">Integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Wavenumber%22">Wavenumber</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IET Microwaves, Antennas & Propagation (Wiley-Blackwell) is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1049/iet-map.2016.0590
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 929
    Subjects:
      – SubjectFull: Full-wave rectifiers
        Type: general
      – SubjectFull: Surfaces (Physics)
        Type: general
      – SubjectFull: Loop antennas
        Type: general
      – SubjectFull: Harmonic analysis (Mathematics)
        Type: general
      – SubjectFull: Integrals
        Type: general
      – SubjectFull: Wavenumber
        Type: general
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      – TitleFull: Full-wave analytical explicit expressions for the surface fields of an electrically large horizontal circular loop antenna placed on a layered ground.
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              M: 05
              Text: 2017
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            – TitleFull: IET Microwaves, Antennas & Propagation (Wiley-Blackwell)
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