Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the force between a dielectric cylinder in a constant electric field and a conducting half space

Authors: Guido Dhondt and Manfred Köhl
Journal: Quart. Appl. Math. 55 (1997), 347-359
MSC: Primary 78A30
DOI: https://doi.org/10.1090/qam/1447582
MathSciNet review: MR1447582
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Abstract: The force between an infinitely long dielectric cylinder in a constant electric field and a conducting half space is determined using the separation of variables technique on the Laplace equation in bipolar coordinates. The force is obtained as a series containing the relative distance between the cylinder and the half space as a parameter. This series is not uniformly convergent for the cylinder approaching the half space and the corresponding force cannot be obtained by performing the limit term per term. A special asymptotic analysis is presented leading to an analytic expression for this limiting value of the force.

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DOI: https://doi.org/10.1090/qam/1447582
Article copyright: © Copyright 1997 American Mathematical Society

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