We perform electrodynamic analysis of electromagnetic modes in a set of spheroidal dielectric resonators. The dependences of eigenfrequencies on the size of the resonators are found for a set of 5, 6, 7, and 9 spheroidal dielectric resonators. The problem is modeled numerically, and the dependence of the frequencies of coupled modes on deformations of the resonators is studied. The results can be useful in radioelectronics and biomedical applications.
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A. G. Galka, A. K. Martusevich, D. V. Yanin, and A. V. Kostrov, J. Commun. Technol. Electron., 65, No. 9, 1038–1045 (2020). https://doi.org/10.1134/S1064226920080033
R. Owens, P. Kjall, A. Richter-Dahlfors, and F. Cicoira, Biochim. Biophys. Acta, 1830, No. 9, 4283–4285 (2013). https://doi.org/10.1016/j.bbagen.2013.04.025
A. A. Svistunov, A. A. Tsymbal, P. F. Litvitsky, and I. A. Budnik, Bull. Ross. Akad. Med. Nauk, 72, No. 5, 365–374 (2017). https://doi.org/10.15690/vramn817
V. A. Es?kin, A. V. Kudrin, and A. A. Popova, Radiophys. Quantum Electron., 62, No. 1, 65–76 (2019). https://doi.org/10.1007/s11141-019-09954-1
E. V. Demidova, T. N. Goryachkovskaya, T. K. Malup, et al., Bioelectromagnetics, 34, No. 1, 15–21 (2013). https://doi.org/10.1002/bem.21736
A. Pietak, Biosystems, 109, No. 3, 367–380 (2012). https://doi.org/10.1016/j.biosystems.2012.01.009
M. Cifra, Biosystems, 109, No. 3, 356–366 (2012). https://doi.org/10.1016/j.biosystems.2012.06.003
L. A. Weinstein, Open Resonators and Open Waveguides, Golem Press, Boulder, CO (1969).
I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions [in Russian], Nauka, Moscow (1976).
M. Abramovitz and I. A. Stegun, ed., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York (1972).
C. Flammer, Spheroidal Wave Functions, Dover, New York (2005).
M. E. Il’chenko, ed., Dielectric Resonators [in Russian], Radio i Svyaz’, Moscow (1989).
I. S. Rez and Yu. M. Poplavko, Dielectrics: Main Properties and Applications in Electronics [in Russian], Radio i Svyaz’, Moscow (1989).
G. Wilmink, B. Ibey, T. Tongue, et al., J. Biomed. Opt., 16, No. 4, 047006 (2011). https://doi.org/10.1117/1.3570648
Yu. M. Bezborodov, T. M. Narytnik, and V. B. Fedorov, Microwave Filters Based on Dielectric Resonators [in Russian], Tékhnika, Kiev (1989).
M. Tsuji, H. Shigesawa, and K. Takiyama, IEEE Trans. Microw. Theory. Tech., 32, No. 6, 628–633 (1984). https://doi.org/10.1109/TMTT.1984.1132739
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 6, pp. 484–492, September 2021. Russian DOI: 10.52452/00213462_2021_64_06_484
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Zargano, G.F., Shein, A.G. & Kharlanov, A.V. Electrodynamic Analysis of Eigenmodes of Spheroidal Dielectric Resonators. Radiophys Quantum El 64, 435–443 (2021). https://doi.org/10.1007/s11141-022-10145-8
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DOI: https://doi.org/10.1007/s11141-022-10145-8