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Penetration of electric fields into open conducting cavities

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1 Author(s)
Boridy, Elie ; Department of Physics, University of Quebec in Montreal, C.P. 8888, Succursale A, Montreal H3C 3P8, Canada

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Penetration of an applied quasistatic electric field inside an open, conducting, spherical shield is analyzed. The shield is either empty or can be loaded with a concentric spherical conductor, and its opening is assumed to be circular. The electric potential and field multipole expansions are determined and, in the case of a hollow cavity, closed analytical expressions are provided. When the cavity is loaded, convergence of the multipole expansions is improved by a preconditioning technique which isolates the field singularity at the sharp edge of the aperture, and makes its analytical treatment possible. Numerical results for the electric field complement the theoretical analysis.

Published in:

Journal of Applied Physics  (Volume:68 ,  Issue: 9 )