RESONANT FREQUENCIES IN AN ELECTROMAGNETIC CYLINDRICAL CAVITY WITH AN INTERNAL OFF-AXIS SMALL SPHERE

被引:3
作者
ROUMELIOTIS, JA
机构
[1] Department of Electrical Engineering, National Technical University of Athens
关键词
D O I
10.1163/156939392X00076
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Analytical expressions for the resonant frequencies in an electromagnetic cylindrical cavity with an internal off-axis electrically small sphere axe derived, for both magnetic and electric modes. The walls of the cylindrical cavity and the small sphere are perfectly conducting. Cylindrical vector wave functions and related translational addition theorems, as well as expansion of cylindrical wave functions in terms of spherical ones, axe used. The results are useful in problems connected with excitation or probing of resonant cavities. Some remarks axe made about the best positioning of the probe, for more exact measurement of the resonant frequency of any mode in the empty cavity. 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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页码:1581 / 1600
页数:20
相关论文
共 8 条
  • [1] Morse P.M., Feshbach H., Methods of Theoretical Physics, (1953)
  • [2] Davidovitz M., Lo Y.T., Cutoff wavenumbers and modes for annular crosssection waveguide with eccentric inner conductor of small radius, IEEE Trans. Microwave Theory Tech., 35, pp. 510-515, (1987)
  • [3] Leung E., Lee C.P., Jacobi N., Wang T.G., Resonance frequency shift of an acoustic chamber containing a rigid sphere, J. Acoust. Soc. Am., 72, pp. 615-620, (1982)
  • [4] Stratton J.A., Electromagnetic Theory, (1941)
  • [5] Tai C.-T., Dyadic Green’s Functions in Electromagnetic Theory, (1971)
  • [6] Pogorzelski R.J., Lun E., On the expansion of cylindrical vector waves in terms of spherical vector waves, Radio Science, 11, pp. 753-761, (1976)
  • [7] Gradshteyn I.S., Ryzhik I.M., Tables of Integrals, Series, and Products, (1965)
  • [8] Abramowitz M., Stegun I.A., Handbook of Mathematical Functions, (1972)