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Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral

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Engineering Mathematics I

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 178))

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Abstract

A new simple approximation that can be used for modeling of one type of Sommerfeld integrals typically occurring in the expressions that describe sources buried in the lossy ground, is proposed in the paper. The ground is treated as a linear, isotropic and homogenous medium of known electrical parameters. Proposed approximation has a form of a weighted exponential function with an additional complex constant term. The derivation procedure of this approximation is explained in detail, and the validation is done applying it in the analysis of a bare conductor fed in the center and immersed in the lossy ground at arbitrary depth. Wide range of ground and geometry parameters of interest has been taken into consideration.

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Authors and Affiliations

  1. Division of Applied Mathematics, The School of Education, Culture and Communication, Mälardalen University, Box 883, 721 23, Västerås, Sweden

    Milica Rančić & Sergei Silvestrov

  2. FEIT, Ss. Cyril and Methodius University, Skopje, Macedonia

    Radoslav Jankoski

  3. Faculty of Electronic Engineering, University of Niš, Niš, Serbia

    Slavoljub Aleksić

Authors
  1. Milica Rančić
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  2. Radoslav Jankoski
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  3. Sergei Silvestrov
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  4. Slavoljub Aleksić
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Corresponding author

Correspondence to Milica Rančić .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Rančić, M., Jankoski, R., Silvestrov, S., Aleksić, S. (2016). Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics I. Springer Proceedings in Mathematics & Statistics, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-319-42082-0_3

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