Analytical method of constructive synthesis of compact polarizers with maximally flat phase-frequency characteristic based on two reactive elements in square waveguide

Fedor Dubrovka; Andrew Bulashenko

doi:10.3103/S0735272722090035

Authors

Fedor Dubrovka National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine http://orcid.org/0000-0002-3485-6822
Andrew Bulashenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine http://orcid.org/0000-0002-4987-4978

DOI:

https://doi.org/10.3103/S0735272722090035

Keywords:

analytical synthesis, constructive synthesis, maximally flat phase-frequency characteristic, polarizer

Abstract

The paper proposes a developed approximate analytical method of constructive synthesis of compact polarizers based on two reactive elements in a square waveguide. The analytical synthesis was carried out under conditions of the absence of reflection and obtaining a required phase shift. As a result, simple formulas have been derived that determine parameters of phase-shifting elements and the electrical distance between them. The constructive synthesis was performed under conditions of the equality of required and real admittances of posts and diaphragms in a square waveguide and their derivatives at the central frequency of the working frequency band. As a result, the real geometrical dimensions of polarizers based on two posts and based on two diaphragms in a square waveguide were determined that provided for maximally flat phase-frequency characteristic. It has been shown that the polarizer based on two posts in a square waveguide can ensure the working frequency band of 4% or 13% while reflecting the electromagnetic energy of less than 1% or 10%, respectively, and differential phase shift Δφ = 90° ± 1°. However, polarizer based on two diaphragms in a square waveguide under the same conditions can ensure the working frequency band of up to 11% or 18%, respectively. The theoretical results were confirmed by experimental data.

References

S. Piltyay, A. Bulashenko, V. Shuliak, “Development and optimization of microwave guide polarizers using equivalent network method,” J. Electromagn. Waves Appl., vol. 36, no. 5, pp. 682–705, 2022, doi: https://doi.org/10.1080/09205071.2021.1980913.

A. J. Simmons, “A compact broad-band microwave quarter-wave plate,” Proc. IRE, vol. 40, no. 9, pp. 1089–1090, 1952, doi: https://doi.org/10.1109/JRPROC.1952.273879.

A. J. Simmons, “Phase shift by periodic loading of waveguide and its application to broad-band circular polarization,” IEEE Trans. Microw. Theory Tech., vol. 3, no. 6, pp. 18–21, 1955, doi: https://doi.org/10.1109/TMTT.1955.1124986.

E. E. Altshuler, “A periodic structure of cylindrical posts in a rectangular waveguide,” IEEE Trans. Microw. Theory Tech., vol. 9, no. 5, pp. 398–402, 1961, doi: https://doi.org/10.1109/TMTT.1961.1125360.

F. F. Dubrovka, O. M. Kuprii, “Synsesis of microwave phase shifters based on reactive elements in waveguide,” Izv. Vyss. Uchebnykh Zaved. Radioelektronika, vol. 25, no. 8, pp. 25–28, 1982.

Y. Liu, F. Li, X. Li, H. He, “Design and optimization of wide and dual band waveguide polarizer,” in 2008 Global Symposium on Millimeter Waves, 2008, pp. 384–386, doi: https://doi.org/10.1109/GSMM.2008.4534654.

G. Virone, R. Tascone, O. A. Peverini, R. Orta, “Optimum-iris-set concept for waveguide polarizers,” IEEE Microw. Wirel. Components Lett., vol. 17, no. 3, pp. 202–204, 2007, doi: https://doi.org/10.1109/LMWC.2006.890474.

G. Virone, R. Tascone, M. Baralis, O. A. Peverini, A. Olivieri, R. Orta, “A novel design tool for waveguide polarizers,” IEEE Trans. Microw. Theory Tech., vol. 53, no. 3, pp. 888–894, 2005, doi: https://doi.org/10.1109/TMTT.2004.842491.

G. Virone, R. Tascone, O. A. Peverini, G. Addamo, R. Orta, “Combined-phase-shift waveguide polarizer,” IEEE Microw. Wirel. Components Lett., vol. 18, no. 8, pp. 509–511, 2008, doi: https://doi.org/10.1109/LMWC.2008.2001005.

S. Hwang, J. Kim, K. Lee, “Study on design parameters of waveguide polarizer for satellite communication,” in 2012 IEEE Asia-Pacific Conference on Antennas and Propagation, 2012, pp. 153–154, doi: https://doi.org/10.1109/APCAP.2012.6333202.

B. Subbarao, V. F. Fusco, “Differential phase polarizer used for RCS control,” in IEEE Antennas and Propagation Society Symposium, 2004., 2004, pp. 4256-4259 Vol.4, doi: https://doi.org/10.1109/APS.2004.1330291.

A. Chittora, S. V. Yadav, “A compact circular waveguide polarizer with higher order mode excitation,” in 2020 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT), 2020, pp. 1–4, doi: https://doi.org/10.1109/CONECCT50063.2020.9198499.

A. Bulashenko, S. Piltyay, O. Bykovskyi, O. Bulashenko, “Synthesis of waveguide diaphragm polarizers using wave matrix approach,” in 2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON), 2021, pp. 111–116, doi: https://doi.org/10.1109/UKRCON53503.2021.9575322.

S. Piltyay, A. Bulashenko, V. Shuliak, O. Bulashenko, “Electromagnetic simulation of new tunable guide polarizers with diaphragms and pins,” Adv. Electromagn., vol. 10, no. 3, pp. 24–30, 2021, doi: https://doi.org/10.7716/aem.v10i3.1737.

F. F. Dubrovka, A. V. Bulashenko, A. M. Kuprii, S. I. Piltyay, “Analytical and numerical method of constructive synthesis of optimal polarizers based on three irises in square waveguide,” Radioelectron. Commun. Syst., vol. 64, no. 4, pp. 204–215, 2021, doi: https://doi.org/10.3103/S073527272104004X.

A. V. Bulashenko, S. I. Piltyay, I. V. Demchenko, “Wave matrix technique for waveguide iris polarizers simulation. Numerical results,” J. Nano- Electron. Phys., vol. 13, no. 5, pp. 05023-1-05023–6, 2021, doi: https://doi.org/10.21272/jnep.13(5).05023.

W. L. Stutzman, Polarization in Electromagnetic Systems, 2nd ed. Artech House, 2018, uri: https://us.artechhouse.com/Polarization-in-Electromagnetic-Systems-Second-Edition-P1945.aspx.

Y. Herhil, S. Piltyay, A. Bulashenko, O. Bulashenko, “Characteristic impedances of rectangular and circular waveguides for fundamental modes,” in 2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON), 2021, pp. 46–51, doi: https://doi.org/10.1109/UKRCON53503.2021.9575359.

D. M. Pozar, Microwave Engineering, 4th ed. New Jersey: Wiley and Sons, 2011, uri: https://www.wiley.com/en-us/Microwave+Engineering%2C+4th+Edition-p-9780470631553.

J. Helszajn, Microwave Polarizers, Power Dividers, Phase Shifters, Circulators, and Switches. Wiley, 2018, doi: https://doi.org/10.1002/9781119490104.