Resonant Frequencies of TE0mn modes in multilayered resonators containing uniaxial anisotropic dielectrics with complex shapes

Authors

  • Krzysztof Derzakowski Warsaw University of Technology, Institute of Radiolectronics and Multimedia Technology

Abstract

The method of evaluating the resonant frequencies of multilayered resonator containing uniaxial anisotropic dielectrics is presented. The detailed solution of Maxwell's equations for such a structure by means of the radial modes matching method for TE0mn modes is given. The results of calculations using developed and launched computer program are given. Results of calculations are compared with those obtained by other method using CST simulator. These results are in close agreement, which proves the correctness of the method. The developed solution, and the software program can be used to measure the tensor permittivity of dielectrics.

References

J. Krupka, “Frequency domain complex permittivity measurements at microwave frequencies”; Measurement Science and Technology, vol.17. 2006, R55–R70. https://doi.org/ 10.1088/0957-0233/17/6/R01

A. Abramowicz, J. Modelski, “Dielectric resonators and their applications”; PWN, 1990, (in Polish)

W. Courtney, “Analysis and evaluation of a method of measuring the complex permittivity and permeability of microwave insulators”; IEEE Transactions on Microwave Theory and Techniques, vol. 18, no. 8, pp. 476-485, Aug. 1970. https://doi.org/10.1109/TMTT.1970.1127271

S. B. Cohn, “Microwave bandpass filters containing high-Q dielectric resonators”, IEEE Transactions on Microwave Theory and Techniques, vol. 16, no. 4, pp. 218-227, Apr 1968. https://doi.org/10.1109/TMTT. 1968.1126654

J. K. Plourde and C .L. Ren, "Application of dielectric resonators in microwave components", IEEE Transactions on Microwave Theory and Techniques, vol. 29, no. 8, pp. 754–70, Aug. 1981. https://doi.org/10.1109/TMTT. 1981.1130444

G. Lin, Y. K. Chembob, “Monolithic total internal reflection resonators for applications in photonics”, Optical Materials: X 2, vol. 2, 100017, May 2019. https://doi.org/10.1016/j.omx.2019.100017

G. Lin, A. Coillet, Y. K. Chembo, “Nonlinear photonics with high-Q whispering gallery-mode resonators”, Advance in Optics and Photonics, vol. 9, no. 4, pp. 828–890, Dec 2017. https://doi.org/10.1364/AOP.9. 000828

Y. Kobayashi and M. Miura, “Optimum design of shielded dielectric rod and ring resonators for obtaining the best mode separation”, in Proc. IEEE MTT International Microwave Symposium, San Francisco, pp. 184–186, June 1984. https://doi.org/10.1109/MWSYM.1984.1131732

J. Krupka, “Precise measurements of the complex permittivity of dielectric materials at microwave frequencies”, Materials Chemistry and Physics, vol. 79, no.2-3, pp. 195-198, April 2003. https://doi.org/10.1016/S0254-0584(02)00257-2

A. Can Gungor, M. Olszewska-Placha, M. Celuch, J. Smajic, J. Leuthold, “Advanced modelling techniques for resonator based dielectric and semiconductor materials characterization”, MPDI Applied Sciences, vol. 10, 8533, Nov 2020. https://doi.org/10.3390/app10238533

R. Saliminejad, M. R. Ghafourifard, “A novel and accurate method for designing dielectric resonator filter”, Progress in Electromagnetics Research B, Vol. 8, pp. 293–306, 2008. http://dx.doi.org/10.2528/ PIERB08070602

J. Krupka, A. Abramowicz, K. Derzakowski, “Design and realization of high–Q triple dielectric resonator filters with wide tuning range”, in Proc. 29th European Microwave Conference., pp. 103–106, Munich, Oct. 1999. https://doi.org/10.1109/EUMA.1999.338538

A. Abramowicz, “Exact model of coupled dielectric resonators”, in Proc. 20th European Microwave Conference, pp. 1125–1130, Budapest, Sept 1990. https://doi.org/10.1109/EUMA.1990.336216

S. K. K. Dash, T. Khan, A. De, “Modelling of dielectric resonator antennas using numerical methods: a review", Journal of Microwave Power and Electromagnetic Energy, vol. 50, no. 4, pp. 269-293, 2016. https://doi.org/10.1080/ 08327823.2016.1260677

P. Abdulla, A. Chakraborty, “Rectangular waveguide-fed hemispherical dielectric resonator antenna”, Progress in Electromagnetics Research, vol.83: pp. 225-244, 2008. http://dx.doi.org/10.2528/PIER08050701

H. Twu Chen, Y. T. Cheng, S. Y. Ke, „Probe-fed section-spherical dielectric resonator antennas”. in Proc. IEEE Asia Pacific Microwave Conference, vol. 2,.pp. 359-362, Nov. 1999. https://doi.org/10.1109/ APMC.1999.829875

S. Maj, J. Modelski, “Application of a dielectric resonator on microstrip line for measurement of complex permittivity”; in Proc. IEEE MTT International Microwave Symposium, San Francisco, 1984. https://doi.org/10.1109/MWSYM.1984.1131849

J. Krupka, “Resonant modes in shielded cylindrical ferrite and single-crystal dielectric resonators”; IEEE Transactions on Microwave Theory and Techniques, Vol. 37, No. 4, pp. 691-696, April 1989. https://doi.org/10.1109/22.18841

K. Derzakowski, A. Abramowicz, J. Krupka, “Whispering gallery resonator method for permittivity measurements”, Journal on Telecommunications and Information Technology, No.1, pp.43-47, 2002.

S. Maj, ”Metoda wyznaczania częstotliwości drgań własnych i jej zastosowanie do analizy wielowarstwowego cylindrycznego rezonatora dielektrycznego”; PhD Thesis, Warsaw, 1987

Y. Kobayashi, T. Sensu, “Resonant modes in shielded uniaxial-anisotropic dielectric rod resonators”; IEEE Transactions on Microwave Theory and Techniques, Vol. 41, No. 12, pp. 2198-2205, 1993. https://doi.org/ 10.1109/22.260706

K. Derzakowski, “Full Wave Analysis of Multilayered Cylindrical Resonator Containing Uniaxial Anisotropic Media”, Progress in Electromagnetics Research M, vol. 101, pp. 101-115, 2021. https://doi.org/10.2528/PIERM20120804

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Additional Files

Published

2024-07-18

Issue

Section

Microwaves and Radiolocation