DOI: https://doi.org/10.15407/rpra26.04.344

A. V. Gribovsky


Purpose: Investigation of the electrodynamic properties of a Fabry-Perot metaresonator formed by two parallel perfectly conducting, two-dimensionally periodic, two-element screens of finite thickness with rectangular holes. The resonator is excited by a plane linearly polarized electromagnetic wave. The basic cell of each of the screens used as the metaresonator mirrors contains two lengths of rectangular waveguides of different transverse sections.

Design/methodology/approach: An operator method for solving the 3D problems of electromagnetic wave diffraction by multielement two-dimensionally periodic structures is used in the study. The computation algorithm uses the partial domain technique and the method of generalized scattering matrices.

Findings: As follows from the results of the numerical modeling made, the magnitude of the plane wave reflected from the metaresonator turns to zero at fixed frequencies lying below the cutoff frequencies for the rectangular waveguide sections embedded in the resonator mirrors. The effect of the total electromagnetic wave transmission through the metaresonator at the first lower frequency is characterized by a strong localization of the electromagnetic field in the resonator volume. The reason is excitation of the metaresonator by the exponentially descending field penetrating inside the resonator through the evanescent holes at the resonance frequency. The second low-frequency resonance of the total electromagnetic wave transmission through the metaresonator is associated with the trapped-mode resonance, which is observed in multielement two-dimensionally periodic structures. This case is characterized by a strong localization of the electromagnetic field from both sides near the metaresonator mirror surfaces.

Conclusions: The unique electrodynamic properties of the metaresonator can find application in the devices for measuring the electrophysical parameters of composite materials with high losses. The effect of strong localization of the electromagnetic field both in the resonator volume and near the mirror surfaces can be used for monitoring the gaseous substances in crowded places.

Key words: two-dimensionally periodic screen; rectangular waveguide; Fabry-Perot metaresonator; reflection factor; evanescent waveguide; trapped-mode resonance

Manuscript submitted 16.08.2021

Radio phys. radio astron. 2021, 26(4): 344-349


1. MOHAMMAD LOU, R. K. and NASER-MOGHADASI,M., 2017. Wideband aperture-coupled antenna arraybased on Fabry–Perot resonator for C-band applications IET Microw. Antennas Propag. vol. 11, is. 6, pp. 859‒866. DOI:https://doi.org/10.1049/iet-map.2016.0537

2. CHEN, C.-L., LIU, Z.-G. and WANG, H., 2019. A Dual Band Fabry-Perot Resonator Antenna with Dual-Sense Circular polarization Using Chiral Metamaterial. In: 2019 IEEE Asia-Pacifi c Microwave Conference (APMC). pp. 455‒457. DOI: https://doi.org/10.1109/APMC46564.2019.9038355

3. KIM, I. K. and VARADAN, V. V., 2015. Implementation and characterization of meta-resonator antennas. In: Proc.of SPIE 9434, Nanosensors, Biosensors, and Info-TechSensors and Systems 2015. vol. 9434, id. 94340H. DOI: https://doi.org/10.1117/12.2085236

4. GRIBOVSKY, A. V. and KUZ’MICHEV, I. K., 2016. Two Screens with Rectangular Holes, as Fabry-Perot Resonator. In: 2016 9th International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves (MSMW) Proceedings. DOI: https://doi.org/10.1109/MSMW.2016.7538122

5. GRIBOVSKY, A. V., 2017. A Quasy-Periodic Sequenceof the Fabry-Perot Resonators on the Basis of Planar Screensof Finite Thickness With Rectangular Holes. Telecommun. Radio Eng. vol. 76, is. 16, pp. 1417‒1422. DOI: https://doi.org/10.1615/TelecomRadEng.v76.i16.30

6. ANTONENKO J. V., GRIBOVSKY, A. V. and KUZMICHEV, I. K., 2018. Amplitude and Polarization Characteristics of the Fabry-Perot Resonator with Coaxial-Sector Holesand Waveguide Loads on the Mirrors. Telecommun. Radio Eng. vol. 77, is. 12, pp. 1029‒1039. DOI: https://doi.org/10.1615/TelecomRadEng.v77.i12.20

7. ANTONENKO, Y. V., ANTONENKO, YE. A. and GRIBOVSKY, A. V., 2019. Experimental Studies of the Fabry Perot Resonator with Mirrors Perforated by Coaxial-Sector Holes. In: 2019 XXIVth International Seminar/Workshopon Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). pp. 31‒34. DOI: https://doi.org/10.1109/DIPED.2019.8882613

8. GRIBOVSKY, A. V., 2005. Frequency-Selective Propertiesof a Multi-Element Screen With Rectangular Waveguide Channels. Telecommun. Radio Eng. vol. 63, is. 2-6, pp. 119‒130. DOI: https://doi.org/10.1615/TelecomRadEng.v63.i2.30

9. GRIBOVSKY, A., ANTONENKO, YE. and ANTONENKO,Y., 2020. Experimental Investigation of Frequency-selective Properties of Metal Metasurface Supportinga Trapped Mode Resonance. In: 2020 IEEE Ukrainian Microwave Week (UkrMW). pp. 1‒4 DOI: https://doi.org/10.1109/UkrMW49653.2020.9252577

10. GRIBOVSKY, A. V., 2009. Paradoxical Propagation of Electromagnetic Waves Through Rectangular Evanescent Apertures in Ideally Conducting Screen of Final Thickness. Radio Phys. Radio Astron. vol. 14, no. 3, pp. 287‒292. (in Russian).


two-dimensionally periodic screen; rectangular waveguide; Fabry-Perot metaresonator; reflection factor; evanescent waveguide; trapped-mode resonance

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