Abstract
The electromagnetic eigenfrequencies fnsm in a perfectly conducting spheroidal cavity are determined analytically. The analytical determination is possible in the case of small values of h = d/(2a), (h « 1), where d is the interfocal distance of the spheroidal cavity and 2a the length of its rotation axis. In this case exact, closed-form expressions are obtained for the expansion coefficients g(2) nsm and g(4) nsm in the resulting relation fnsm(h) = fns (0) [1 + h2g(2) nsm + h4g(4) nsm + O(h6)]. Analogous expressions are obtained with the use of the parameter v = 1- a2/b2 (for |v| << 1) , where 2b is the length of the other axis of the spheroidal cavity. The electromagnetic field is expressed in terms of spheroidal eigenvectors. Numerical results are given for the lower-order modes.
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