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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 11 — Nov. 1, 1980
  • pp: 1329–1337

Resolution of the Coulomb field into evanescent modes

J. L. Agudin and A. M. Platzeck  »View Author Affiliations


JOSA, Vol. 70, Issue 11, pp. 1329-1337 (1980)
http://dx.doi.org/10.1364/JOSA.70.001329


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Abstract

We show that the field of a charge at rest can always be considered as a superposition of evanescent waves of zero frequency. By proposing a two-dimensional Fourier expansion (instead of the three-dimensional one imposed by Landau and Lifshitz), we obtain a development of the Coulomb field in plane evanescent waves of zero frequency. This development is not valid in an arbitrary plane that contains the charge. By proposing a one-dimensional Fourier expansion we obtain a development in cylindrical evanescent waves of zero frequency. This last development is not valid in an arbitrary axis that contains the charge. These expansions enable us to analyze electrostatic boundary-value problems in a novel way.

© 1980 Optical Society of America

Citation
J. L. Agudin and A. M. Platzeck, "Resolution of the Coulomb field into evanescent modes," J. Opt. Soc. Am. 70, 1329-1337 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-11-1329

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