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Perturbation theory of resonant cavities

Perturbation theory of resonant cavities

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A detailed derivation is given of the perturbation formula for the frequency shift on introducing a sample of ferrite or dielectric material into a resonant cavity. The purpose of this is to make clear what assumptions are involved in the derivation; it is necessary to appreciate what these assumptions are in order to design accurate experiments.

References

    1. 1)
      • Bethe, H.A., Schwinger, J.: `Perturbation Theory for Cavities', D1-117, N.R.D.C. Report, March 1943.
    2. 2)
      • T. Kahan . Méthode de perturbation appliquée a l'étude des cavités électromagnétiques. Comptes Rendus
    3. 3)
      • J.C. Slater . (1950) , Microwave Electronics.
    4. 4)
      • H.B.G. Casimir . On the Theory of Electromagnetic Waves in Resonant Cavities. Philips Research Reports
    5. 5)
      • R.A. Waldron . Theory of the Measurement of the Elements of the Permeability Tensor of a Ferrite by Means of a Resonant Cavity. Proc. I.E.E., Part B
    6. 6)
      • E.G. Spencer , R.C. LeCraw , L.A. Ault . Note on Cavity Perturbation Theory. Journal of Applied Physics
    7. 7)
      • E.G. Spencer , R.C. LeCraw , F. Reggia . Measurement of Microwave Dielectric Constants and Tensor Permeabilities of Ferrite Spheres. Proceedings of the Institute of Radio Engineers
    8. 8)
      • W. von Aulock , J.H. Rowen . Measurement of Dielectric and Magnetic Properties of Ferromagnetic Materials at Microwave Frequencies. Bell System Technical Journal
    9. 9)
      • H. Seidel , H. Boyet . Frequency Shifts in Cavities with Longitudinally Magnetized Small Ferrite Discs. Bell System Technical Journal
    10. 10)
      • R.A. Waldron . What is Ferromagnetic Resonance?. British Journal of Applied Physics
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