dielectric filter, rectangular dielectric resonator, rotation, coupling coefficients


Background. A further increase in the speed of information transfer is determined by more stringent requirements for the elements of communication devices. One of the most important components of such devices is various filters, which are often made on the basis of dielectric resonators. Calculation of the parameters of multi-section filters is impossible without further development of the theory of their design. The development of filter theory is based on electrodynamic modelling, which involves calculating the coupling coefficients of dielectric resonators in various transmission lines.

Objective. The aim of the research is to calculate and study the coupling coefficients of rectangular dielectric resonators with a rectangular metal waveguide when their axes rotate. Investigation of new effects to improve the performance of filters and other devices based on them.

Methods. Methods of technical electrodynamics are used to calculate and analyse the coupling coefficients. The end result is to obtain new analytical formulas for new structures with rectangular dielectric resonators, which make it possible to analyse and calculate their coupling coefficients.

Results. New analytical expressions are found for the coupling coefficients of dielectric resonators with the rotation of their axes in a rectangular waveguide.

Conclusions. The theory of designing filters based on new structures of dielectric resonators with rotation of their axes in metal waveguides has been expanded. New analytical relationships and new patterns of change in the coupling coefficients are found.

Keywords: dielectric filter; rectangular dielectric resonator; rotation; coupling coefficients.


Fesenko V.I., Kupriianov A.S., Sherbinin A., Trubin A.A., Tuz V.R.. All-dielectric Vogel metasurface antennas with bidirectional radiation pattern, Journal of Optics, UK, 22, 035104, 2020, pp. 1- 8.

Trubin A.A. Adaptive planar antennas on lattices of rotating Dielectric Resonators. 14 Int. Scientific Conf. Modern Challenges in Telecommunications. Kiev, 2020, pp. 89-91.

Shi T., Wang Y., Deng Z.-L., Ye X., Dai Z., Cao Y., Guan B.-O., Xiao S., Li X. All-Dielectric Kissing-Dimer Metagratings for Asymmetric High Diffraction, Adv. Op-tical Mater. WILEY-VCH Verlag, 2019, pp. 1901389 - 1901389.

Wang X., Nie Z., Liang Y., Wang J., Li T., Jia B. Re-cent advances on optical vortex generation, Review arti-cle. Nanophotonics 2018; 7(9): pp. 1533–1556

Sallehuddin N.F., Jamaluddin M.H., Kamarudin M.R., Dahri M.H., Anuar S.U.T. Dielectric Resonator Re-flectarray Antenna Unit Cells for 5G Applications // In-ternational Journal of Electrical and Computer Engineer-ing (IJECE) 2018, Vol. 8, No. 1, February pp. 101 - 109.

Pidgurska T.V. Trubin A.A. Dual-bandpass filter built on rectangular dielectric resonators, Radioelectronics and Communications Systems, 2015. Vol. 58. pp.174–180.

Iveland T.D. Dielectric Resonator Filters for Applica-tion in Microwave Integrated Circuites // IEEE Trans. on MTT. 1971, MTT-19, No 7, pp. 643 - 652.

Wang K., Titchener J. G., Kruk S.S., Xu L., Chung H.-P., Parry M., Kravchenko I. I., Chen Y.-H., Solntsev A. S., Kivshar Y. S., Neshev D. N., Sukhorukov A. A. Quantum metasurface for multi-photon interference and state reconstruction / Science. 2018. vol. 361 (6407), pp. 1104-1108.

Trubin A.A. , Kupriianov A.S., Fesenko V.I., Tuz V.R. Coupling coefficients for dielectric cuboids located in free space // Applied Optics. OSA, 2020 / Vol. 59, No 23/10. pp. 6918 - 6924.

Ilchenko M.E., Trubin A.A. Electrodynamics of Die-lectric Resonators. Kiev. Naukova Dumka. 2004, 265 p.