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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(2):137-147; doi:10.1093/qjmam/29.2.137
© 1976 by Oxford University Press
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RADIATION FROM A POINT CHARGE MOVING THROUGH TWO COAXIAL CIRCULAR APERTURES OF A CAVITY CONSISTING OF TWO PARALLEL SCREENS

P. M. VAN DEN BERG {dagger}

( Department of Mathematics, University of Dundee Dundee, Scotland )

This paper deals with the problem of diffraction radiation from an electric point charge which moves, at a constant speed, through two coaxial circular apertures in two parallel plane screens. The screens are assumed to be electrically perfectly conducting. The problem is reduced to the solution of two integral equations for the unknown field functions in the two apertures. Low-frequency solutions as well as high-frequency solutions are considered. Results pertaining to the far-field behaviour of the radiated field are given. Finally, numerical results pertaining to the radiation loss of the charge are presented.


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