Electromagnetic Oscillations in a Spherical Conducting Cavity with Dielectric Layers. Application to Linear Accelerators
Wladyslaw Zakowicz, Andrzej A. Skorupski, Eryk Infeld
DOI: 10.4236/jemaa.2013.51006   PDF    HTML   XML   4,643 Downloads   6,854 Views   Citations


We present an analysis of electromagnetic oscillations in a spherical conducting cavity filled concentrically with either dielectric or vacuum layers. The fields are given analytically, and the resonant frequency is determined numerically. An important special case of a spherical conducting cavity with a smaller dielectric sphere at its center is treated in more detail. By numerically integrating the equations of motion we demonstrate that the transverse electric oscillations in such cavity can be used to accelerate strongly relativistic electrons. The electrons trajectory is assumed to be nearly tangential to the dielectric sphere. We demonstrate that the interaction of such electrons with the oscillating magnetic field deflects their trajectory from a straight line only slightly. The Q factor of such a resonator only depends on losses in the dielectric. For existing ultra low loss dielectrics, Q can be three orders of magnitude better than obtained in existing cylindrical cavities.

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W. Zakowicz, A. Skorupski and E. Infeld, "Electromagnetic Oscillations in a Spherical Conducting Cavity with Dielectric Layers. Application to Linear Accelerators," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 1, 2013, pp. 32-42. doi: 10.4236/jemaa.2013.51006.

Conflicts of Interest

The authors declare no conflicts of interest.


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