Summary
A general procedure for determining the resonant frequencies and mode vectors of cavity resonators of arbitrary shape and containing media characterized by arbitrary tensor permeabilities and permittivities is given. The method is basically that of Galerkin applied to an operator formulation of the problem. The solution is in the form of a matrix eigenvalue equation, which can be solved by conventional computational techniques. The general formulas are specialized to the case of a rectangular cavity containing gyrotropic plasma, and representative numerical calculations are given. The solution is compared to a first-order perturbation solution to illustrate to what extent the latter can be used as an approximation.
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References
Kantorovich and Krylov, Approximate Methods of Higher Analysis, Chap. IV, translation by C. D. Benster, Wiley, New York, 1964.
Harrington, R. F., Time-Harmonic Electromagnetic Fields, Chapter 7, McGraw-Hill, New York, 1961.
Berk, A. D., IRE Trans. on Antennas and Propagation AP-4 (1956) 104.
Slater, J. C., Microwave Electronics, Chapter 4, Van Nostrand, New York, 1950.
Interaction of Plasmas with High Intensity R-F Fields, research reports prepared under Contract No. AF 49(683)-1374 with Air Force Office of Scientific Research, Washington, D. C., 1964–65.
Buschbaum, S. J., L. Mower and S. C. Brown, Phys. Fluids 3 (1960) 806.
Eberlein, P. J., J. Soc. Indus. Appl. Math. 10 (1962) 74.
Gupta, R. R., A Study of Cavities and Waveguides Containing Anisotropic Media, Ph. D. Dissertation, Syracuse University, Syracuse, New York, July, 1965.
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Gupta, R.R., Harrington, R.F. Cavity resonators containing anisotropic media. Appl. Sci. Res. 16, 46–64 (1966). https://doi.org/10.1007/BF00384054
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DOI: https://doi.org/10.1007/BF00384054