Please use this identifier to cite or link to this item: https://doi.org/10.1109/TMTT.2003.808621
Title: Closed-form eigenfrequencies in prolate spheroidal conducting cavity
Authors: Li, L.-W. 
Li, Z.-C. 
Leong, M.-S. 
Keywords: Cavity resonance
Eigenfrequency
Nonlinear fitting
Numerical analysis
Spheroidal wave functions
Issue Date: Mar-2003
Citation: Li, L.-W., Li, Z.-C., Leong, M.-S. (2003-03). Closed-form eigenfrequencies in prolate spheroidal conducting cavity. IEEE Transactions on Microwave Theory and Techniques 51 (3) : 922-927. ScholarBank@NUS Repository. https://doi.org/10.1109/TMTT.2003.808621
Abstract: In this paper, an efficient approach is proposed to analyze the interior boundary-value problem in a spheroidal cavity with perfectly conducting wall. Since the vector wave equations are not fully separable in spheroidal coordinates, it becomes necessary to double-check validity of the vector wave functions employed in analysis of the vector boundary problems. In this paper, a closed-form solution has been obtained for the eigenfrequencies fns0 based on TE and TM cases. From a series of numerical solutions for these eigenfrequencies, it is observed that the fns0 varies with the parameter ξ among the spheroidal coordinates (η, ξ, φ) in the form of fns0 (ξ) = fns(0) [1 + g(1)/ξ2 + g(2)/ξ4 + g(3)/ξ6 + ⋯]. By means of the least squares fitting technique, the values of the coefficients, g(1), g(2), g(3), ..., are determined numerically. It provides analytical results and fast computations of the eigenfrequencies, and the results are valid if ξ is large (e.g., ξ ≥ 100).
Source Title: IEEE Transactions on Microwave Theory and Techniques
URI: http://scholarbank.nus.edu.sg/handle/10635/82057
ISSN: 00189480
DOI: 10.1109/TMTT.2003.808621
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