FOUR-VECTOR POTENTIAL AND ELECTROMAGNETIC FIELD OF CHARGE MOVING ARBITRARILY IN A CYLINDRICAL DRIFT TUBE

Authors

  • Г. М. Горбик Institute for Radiophysics and Electronics, Ukraine
  • К. Ільєнко Institute for Radiophysics and Electronics, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2007.21.33-38

Abstract

Using the method of Green functions we found the four-vector potential and elec­tromagnetic field of a charge moving along an arbitrary path in a perfectly conduct­ing cylindrical waveguide. It is implied that the exciting source satisfies the continu­ity equation and does not touch the drift waveguide walls. Boundary conditions for four-vector potential in cylindrical coordinates are obtained via analysis of those for corresponding fields on the perfectly conducting surface. Solutions are expressed analytically through the Green functions of d’Allembert operator with the Dirichle and Neumann boundary conditions. It is demonstrated that the obtained solutions satisfy the Coulomb gauge condition provided the exciting source satisfy the conti­nuity equation.

References

А.А.Кураев, Сверхвысокочастотные приборы с периодическими электронными потоками (Наука и техника, Минск, 1971).

Г.М.Горбик, К.В.Ильенко, Радиофизика и электроника 9, 556 (2004).

J.Larsson, Am. J. Phys. 75, 230 (2007).

Г.М.Горбик, К.В.Ильенко, Радиофизика и электроника 12, (2007) [у друці].

Л.Левин, Теория волноводов: методы решения волноводных задач (Радио и связь, Москва, 1981).

G.M.Gorbik, K.V.Ilyenko, Proc.11th Int. Conf. on Mathematical Methods in Electromagnetic Theory (Kharkiv 2006), p. 437.

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Published

2007-08-05

Issue

Vol. 21 (2007)

Section

Статті

License

Copyright (c) 2007 Scientific Herald of Uzhhorod University.Series Physics

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