Resonant Frequencies in an Electromagnetic Spherical Cavity with an Eccentric Inner Electrically Small Sphere

Abstract
Analytical expressions for the resonant frequencies in an electromagnetic spherical cavity with an eccentric inner electrically small sphere are derived, for both magnetic and electric nodes. The two spheres are perfectly conducting. Spherical vector wave functions and related addition theorems are used. Our results are useful in problems connected with excitation or probing of resonant cavities. Graphical results for some of the lower order modes are given for various values of the parameters and for both kinds of modes.

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