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

G. Kwon and K.C. Hwang

Journal of Electromagnetic Waves and Applications, 2014, vol. 28, issue 6, 729-740

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.

Date: 2014
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DOI: 10.1080/09205071.2014.888321

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