Please use this identifier to cite or link to this item:
|Title:||Closed-form eigenfrequencies in prolate spheroidal conducting cavity|
|Authors:||Li, L.-W. |
Spheroidal wave functions
|Source:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 28, 2018
WEB OF SCIENCETM
checked on Feb 21, 2018
checked on Feb 27, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.