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Mellin transform solution for electrostatic field from a line charge in a slotted hollow wedge

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  • G. Kwon
  • K.C. Hwang

Abstract

Electrostatic field from a line charge in a slotted, hollow wedge is investigated using the Mellin transform and mode matching. In order to obtain a rigorous and fast convergent series solution, an eigenfunction expansion and residue calculus are applied to the electrostatic boundary-value problem. As a result, the potential fields in the regions of interest are represented by a series formula. Numerical computations are performed to assess the field behavior in terms of wedge geometry and material parameters. Our theoretical results are also compared with the results by a commercial software package to check the validity of the derived series.

Suggested Citation

  • G. Kwon & K.C. Hwang, 2014. "Mellin transform solution for electrostatic field from a line charge in a slotted hollow wedge," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 28(6), pages 729-740, April.
  • Handle: RePEc:taf:tewaxx:v:28:y:2014:i:6:p:729-740
    DOI: 10.1080/09205071.2014.888321
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