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Calculation of the resonance frequencies of an open dielectric axially symmetric resonator of piecewise constant radius

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Abstract

An algorithm is suggested for calculating the resonance frequencies of open dielectric axially symmetric resonators of piecewise constant radius suitable for an arbitrary layered axially symmetric dielectric filling. The resonator is placed into a case with ideally conducting walls of a sufficiently large radius. Cases are analyzed where the resonator structure is partly coated with a perfect conductor.

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References

  1. V. F. Vzyatyshev, Dielectric Wavegudes, (Moscow, 1970) [in Russian].

  2. D. G. Afonin and A. K. Malyshkin, Abstracts of Papers, 12 Mezhdunarodnaya Konferentsiya “SVCh Tekhnika i Telekommunikatsionnye Tekhnologii” (12 Conference “Microwave Techniques and Telecommunication Technologies”), Sevastopol, 2002, p. 379.

  3. V. P. Modenov and F. M. Chulkov, Elektrodinamika i Tekhnika SVCh and KVCh 8(3–4), 89 (2000).

    Google Scholar 

  4. O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical physics (Moscow, 1973) [in Russian].

  5. Ph. Ciarlet, The Finite Element Method for Elliptic Problems (Amsterdam, North Holland, 1977; Moscow, 1980).

  6. G. Strang and G. Fix, An Analysis of the Finite Element Method (Englewood Cliffs (USA), Prentice-Hall, 1973; Moscow, 1977).

    MATH  Google Scholar 

  7. J. E. Roberts and J.-M. Thomas, “Mixed and Hybrid Methods,” in Handbook of Numerical Analysis (Amsterdam, North Holland, 1991), p. 2.

  8. S. E. Bankov, A. A. Kurushin, and V. D. Razevig, Analysis and Optimization of Three-Dimensional Microwave Structures with the Aid of HFSS (Moscow, 2005).

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, 119899, Russia

    A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii & N. E. Shapkina

Authors
  1. A. N. Bogolyubov
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  2. A. I. Erokhin
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  3. I. E. Mogilevskii
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  4. N. E. Shapkina
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Additional information

Original Russian Text © A.N. Bogolyubov, A.I. Erokhin, I.E. Mogilevskii, N.E. Shapkina, 2009, published in Vestnik Moskovskogo Universiteta. Fizika, 2009, No. 2, pp. 21–28.

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Bogolyubov, A.N., Erokhin, A.I., Mogilevskii, I.E. et al. Calculation of the resonance frequencies of an open dielectric axially symmetric resonator of piecewise constant radius. Moscow Univ. Phys. 64, 124–127 (2009). https://doi.org/10.3103/S0027134909020052

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  • DOI: https://doi.org/10.3103/S0027134909020052

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