107
Views
1
CrossRef citations to date
0
Altmetric
Articles

A method of effective potentials for calculating the frequency spectrum of eccentrically layered spherical cavity resonators

ORCID Icon, &
Pages 802-824 | Received 08 Jul 2019, Accepted 15 Apr 2020, Published online: 22 Apr 2020

References

  • Zouros GP. Eigenfrequencies and modal analysis of uniaxial, biaxial, and gyroelectric spherical cavities. IEEE Trans Microw Theory Techn. 2017;65(1):20–27.
  • Zouros GP. Analysis of multilayered gyroelectric spherical cavities by weak form VIE formulation. IEEE Trans Microw Theory Techn. 2017;65(11):4029–4036.
  • Kolezas GD, Zouros GP. Eigenfrequencies in Gyrotropic–Metallic cavities. IEEE Microw Wireless Compon Lett. 2018;28(3):197–199.
  • Bozza G, Oliveri G, Raffetto M. Cavities involving metamaterials with an uncountable set of resonant frequencies. IEEE Microw Wireless Compon Lett. 2007;17(8):565–567.
  • Julien A, Guillon P. Electromagnetic analysis of spherical dielectic shielded resonators. IEEE Trans Microw Theory Techn. 1986;34(6):723–729.
  • Dankov PI. Two-resonator method for measurement of dielectric anisotropy in multilayer samples. IEEE Trans Microw Theory Techn. 2006;54(4):1534–1544.
  • Okada F, Tanaka H. Measurement of ferrite tensor permeability using a spherical cavity resonator. IEEE Trans Instrum Meas. 1991;40(2):476–479.
  • Stöckmann H-J. Quantum chaos. New York (NY): Cambridge University Press; 1999.
  • Bohigas O, Giannoni MJ. Level density fluctuations and random matrix theory. Ann Phys. 1975;89:393–422.
  • Bohigas O, Giannoni MJ, Schmit C. Characterization of chaotic quantum spectra and universality of level fluctuation laws. Phys Rev Lett. 1984;52(1):1–4.
  • Baryakhtar VG, Yanovsky VV, Naydenov SV, et al. Chaos composite billiards. JETP. 2006;103(2):292–302.
  • Stratton JA. Electromagnetic theory. New Jersey (NJ): Willey; 2007.
  • Vainshtein LA. Electromagnetic waves. Moscow: Radio i Svyaz; 1988. Russian.
  • Whittaker ET. On an expression of the electromagnetic field due to electrons by means of two scalar potential functions. Proc Lond Math Soc. 1904;s2-1(1):367–372.
  • Nisbet A. Hertzian electromagnetic potentials and associated gauge transformations. Proc R Soc Lond A. 1955;231:250–263.
  • Przeździecki S, Hurd RA. A note on scalar Hertz potentials for gyrotropic media. Appl Phys. 1979;20(4):313–317.
  • Przeździecki S, Laprus W. On the representation of electromagnetic fields in gyrotropic media in terms of scalar Hertz potentials. J Math Phys. 1982;23(9):1708–1712.
  • Weiglhofer WS. Scalar Hertz potentials for nonhomogeneous uniaxial dielectric – magnetic mediums. Int J Appl Electromagn Mech. 2000;11(3):131–140.
  • Malykh MD, Sevastianov LA, Tiutiunnik AA, et al. On the representation of electromagnetic fields in closed waveguides using four scalar potentials. J Electromagn Waves Appl. 2018;32(7):886–898.
  • Ganapolskii EM, Eremenko ZE, Tarasov YuV. Influence of random bulk inhomogeneities on quasioptical cavity resonator spectrum. Phys Rev E. 2007;75:026212(1 23026212(1–13) .
  • Haus HA, Huang W. Coupled-mode theory. Proc IEEE. 1991;19(10):1505–1518.
  • Oraevsky AN. Whispering-gallery waves. Quant Electron. 2002;32(5):377-–400.
  • Erdelyi A. Higher transcendental functions. Vol. 2. New York (NY): McGraw Hill; 1953.
  • Jackson JD. Classical electrodynamics. New York (NY): Wiley; 1962.
  • Feshbach H. Unified theory of nuclear reactions. Ann Phys. 1958;5:357–390.
  • Feshbach H. Unified theory of nuclear reactions, II. Ann Phys. 1962;19:287–313.
  • Wu T-Y, Omura T. Quantum theory of scattering. New York (NY): Prentice-Hall; 1962.
  • Hatano N. Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states. Fortsch Phys. 2013;61(2–3):238–249.
  • Gutzwiller MC. Periodic orbits and classical quantization conditions. J Math Phys. 1971;12(3):343–358.
  • Zaslavskii GM, Chirikov BV. Stochastic instability of non-linear oscillations. Sov Phys Usp. 1972;14(5):549–568.
  • Galassi M, Davies J, Theiler J. GNU scientific library reference manual. 2nd ed. Boston (MA): Computer Science; 2003.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.