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A method for reducing Pocklington’s equation of electric vibrators to a singular integral equation

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Abstract

A mathematically correct approach to the analysis of Pocklington’s equation for thin electric vibrators, based on the theory of singular integral equations, is suggested. A new singular integral equation is obtained for the derivative of the surface current with respect to the longitudinal coordinate. Numerical treatment demonstrates rapid convergence and computational simplicity of the proposed method.

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Authors and Affiliations

  1. Samara State University, Samara, Russia

    V. A. Neganov, I. V. Matveev & S. V. Medvedev

Authors
  1. V. A. Neganov
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  2. I. V. Matveev
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  3. S. V. Medvedev
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 26, No. 12, 2000, pp. 86–94.

Original Russian Text Copyright © 2000 by Neganov, Matveev, Medvedev.

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Neganov, V.A., Matveev, I.V. & Medvedev, S.V. A method for reducing Pocklington’s equation of electric vibrators to a singular integral equation. Tech. Phys. Lett. 26, 535–538 (2000). https://doi.org/10.1134/1.1262903

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  • DOI: https://doi.org/10.1134/1.1262903

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