PACS number: 41.20.–q Purpose: studies of electrodynamics properties of Fabry–Perot resonator formed by two parallel perfectly conducting screens of finite thickness with rectangular holes while its exciting by a plane wave. Design: operator method of diffraction problems solving based on the method of partial areas and the method of generalized scattering matrixes. Findings: The numerical modeling showed that module of the coefficient of plane wave reflection from the resonator is equal to zero at a fixed wavelength being prohibitive for segments of rectangular waveguides made in both screens. Here, a strong localization of electromagnetic field in the resonator volume is observed. Studying the frequencyselective properties of each screen individually it has been determined that there are no resonances of electromagnetic wave total transmission below the cut-off frequency of rectangular waveguides. It is found that with replacing one of the Fabry–Perot resonator mirrors by a solid metal plane, the amplitude of a plane wave in the resonator can increase by almost an order of magnitude as against the exciting field amplitude. Conclusions: Unique electrodynamic properties of the considered structure can find application in devices for amplifying or generating electromagnetic waves in millimeter and submillimeter bands, as well as in measuring electrical properties of composite materials with large losses. Key words: two-dimensional periodic screen, rectangular waveguide, Fabry–Perot resonator, reflection coefficient, ultraboundary waveguide Manuscript submitted 11.11.2015 Radio phys. radio astron. 2016, 21(1): 58-64 REFERENCES 1. EULER, M. and FUSCO, V., 2010. Frequency Selective Surface Using Nested Split Ring Slot Elements as a Lens with Mechanically Reconfigurable Beam Steering Capability. IEEE Trans. Antennas Propag . vol. 58, no. 10, pp. 3417–3421. DOI: https://doi.org/10.1109/TAP.2010.2055814 2. AZEMI, S. N., GHORBANI, K. and ROWE, W. S. T., 2012. 3D Frequency Selective Surfaces. Prog. Electromagn. Res . C. vol. 29, pp. 191–203. DOI: 10.2528/PIREC12033006 3. BANKOV, S. E., DUPLENKOVA, M. D. and FROLOVA, E. V., 2013. Eigenmodes of resonator on the basis of an electromagnetic crystal. Zhurnal Radioelektroniki . no. 7, pp. 1–27 (in Russian). 4. ZIRAN WU, WEI-REN NG, MICHAEL E. GEHM and HAO XIN., 2011. Terahertz electromagnetic crystal waveguide fabricated by polymer jetting rapid prototyping. Opt. Express . vol. 19, no. 5, pp. 3962–3972. DOI: https://doi.org/10.1364/OE.19.003962 5. ANTONENKO, J. V. and GRIBOVSKY, A. V., 2012. Polarization and Frequency-Selective Properties of a Double Screen of Finite Thickness with Coaxial-Sector Aperture. Radio Phys. Radio Astron . vol. 17, no. 3, pp. 276–281 (in Russian). 6. GRIBOVSKY, A. V., LYTVYNENKO, L. M. and PROSVIRNIN, S. L., 2000. Diffraction of Electromagnetic Waves on a Multi-Layer Structure of Metal Screens with Rectangular Holes. Radio Phys. Radio Astron . vol. 5, no. 2, pp. 166–170 (in Russian). 7. PEROV, A. O., KIRILENKO, A. A., DERKACH, V. N. and SALOGUB, A. N., 2015. System of two screens with the circular beyond the limits openings as the quasi-optical polarizer. Radiofizika i Elektronika . vol. 6(20), no. 3, pp. 3–10 (in Russian). 8. LITVINENKO, L. N. and PROSVIRNIN, S. L., 1984. Spectral operators of dispersion in the tasks of diffraction of waves on flat screens . Kyiv: Naukova dumka (in Russian). 9. GRIBOVSKY, A. V., PROSVIRNIN, S. L. and REZNIK I. I., 1997. Reflecting Phased Array Antenna Consisting of Rectangular Waveguides of Finite Depth. Radio Phys. Radio Astron . vol. 2, no. 1, pp. 52–60 (in Russian).
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