# SIMULATION OF COMPACT POLARIZERS FOR SATELLITE TELECOMMUNICATION SYSTEMS WITH THE ACCOUNT OF THICKNESS OF IRISES

## DOI:

https://doi.org/10.20535/kpisn.2021.1.231202## Keywords:

polarizer, waveguide, iris, transfer matrix, scattering matrix, differential phase shift, voltage standing wave ratio, axial ratio, crosspolar discrimination## Abstract

**Background.** One of the main problems in modern satellite telecommunication systems is to increase the volume of information transmission with simultaneous preservation of its quality. Key element of such systems is antenna systems with polarization processing, which is carried out using polarizers. Therefore, development of new polarizers and simple techniques for their analysis and optimization are important problems. The most simple, effective, technological and actual for analysis are polarizers based on waveguides with irises.

**Objective.** The purpose of the paper is to create a mathematical model of the polarizer based on a square waveguide with irises, which allows analyzing the influence of polarizer’s design parameters on its electromagnetic characteristics.

**Methods.** A mathematical model of the waveguide polarizer with irises is created by decomposition technique using transfer and scattering wave matrices. To take into account the irises’ thickness their equivalent T- and Π-shaped circuits were used.

**Results.** We have developed mathematical model of the waveguide polarizer with irises, which takes into account their thickness and is based on the complete scattering wave matrix of the waveguide polarizer. The matrix has been obtained using the microwave circuit theory. The main characteristics of the waveguide polarizer were defined using matrix elements. The optimization of characteristics of a polarizer was carried out in the operating Ku-band 10.7–12.8 GHz.

**Conclusions.** Suggested mathematical model of a waveguide polarizer with irises provides the account of heights of irises, distances between them and their thickness. The results obtained show that this model is simpler and faster for the calculation of electromagnetic characteristics compared to finite elements method, which is often used for analysis of microwave devices for various applications.

## References

D.M. Pozar, Microwave Engineering, 4th ed. Hoboken, New Jersey: John Wiley & Sons, 2012, 732 p.

S.S. Gao et. al., Circularly Polarized Antennas. Chichester: John Wiley & Sons, 2014, 322p.

K. Sellal et. al., “A new substrate integrated waveguide phase shift,” in European Microwave Conf., Manchester, UK, 2006, pp. 72–75. doi: 10.1109/EUMC.2006.281184

L.P. Mospan et. al., “Spectral properties of a rectangular wave guiding unit involving a pair of rectangular posts of equal heights,” Telecommun. Radio Eng., vol. 73, no. 1, pp. 1–17, 2014. doi: 10.1615/TelecomRadEng.v73.i1.10

L.P. Mospan et. al., “Rectangular waveguide section with a pair of antipodal posts: Spectral characteristics,” in 2015 Int. Conf. Antenna Theory Techniques (ICATT), Kyiv, Ukraine, 2015. doi: 10.1109/ICATT.2015.7136867

J.D. Bull et. al., “Asymmetrically strained ridge waveguide for passive polarization conversion,” IEEE Photonics Technol. Lett., vol. 20, no. 24, pp. 2186–2188, 2008. doi: 10.1109/LPT.2008.2007221

S.I. Piltyay et. al., “New tunable iris-post square waveguide polarizers for satellite information systems,” in IEEE 2nd Int. Conf. Advanced Trends Information Theory, Kyiv, Ukraine, 2020, pp. 342–348. doi: 10.1109/ATIT50783.2020.9349357

S.I. Piltyay et. al., “Compact Ku-band iris polarizers for satellite telecommunication systems,” Telecommun. Radio Eng., vol. 79, no. 19, pp. 1673–1690, 2020. doi: 10.1615/TelecomRadEng.v79.i19.10

G.V. Eleftheriades et. al., “Some important properties of waveguide junction generalized scattering matrices in the context of the mode matching technique,” IEEE Trans. Microw. Theory Tech., vol. 42, no. 10, pp. 1896–1903, 1994. doi: 10.1109/22.320771

S.Y. Yu and J. Bornemann, “Classical eigenvalue mode-spectrum analysis of multiple-ridged rectangular and circular waveguides for the design of narrowband waveguide components,” Int. J. Numer. Model.: Electron. Netw., Device. Field., vol. 22, no. 6, pp. 395–410, 2009. doi: 10.1002/JNM.716

S.I. Piltyay and F.F. Dubrovka, “Eigenmodes analysis of sectoral coaxial ridged waveguides by transverse field-matching technique. Part 1. Theory,” RADAP, vol. 54, pp. 13–23, 2013.

S.I. Piltyay, “Enhanced C-band coaxial orthomode transducer”, RADAP, vol. 57, pp. 35–42, 2014.

W. Sun and C.A. Balanis, “MFIE analysis and design of ridged waveguides,” IEEE Trans. Microw. Theory Tech., vol. 41, no. 11, pp. 1965–1971, 1993. doi: 10.1109/22.273423

A.E. Serebryannikov et. al., “Fast coupled-integral-equations-based analysis of azimuthally corrugated cavities,” IEEE Microw. Wireless Compon. Lett., vol. 14, no. 5, pp. 240–242, 2004. doi: 10.1109/LMWC.2004.827833

S.I. Piltyay, “Numerically effective basis functions in integral equation technique for sectoral coaxial ridged waveguides,” in 2012 Int. Conf. on Mathematical Methods in Electromagnetic Theory, Kharkiv, Ukraine, 2012, pp. 492–495. doi: 10.1109/MMET.2012.6331195

S. Amari et. al., “Application of a coupled-integral-equations technique to ridged waveguides,” IEEE Trans. Microw. Theory Tech., vol. 44, no. 12, pp. 2256–2264, 1996. doi: 10.1109/22.556454

A.V. Bulashenko et. al., “Analytical technique for iris polarizers development,” IEEE Int. Conf. Problems Infocommunications. Science Technology (PIC S&T), Kharkiv, Ukraine, 2020, pp. 464–469.

S. I. Piltyay et. al., “Analytical synthesis of waveguide iris polarizers,” Telecommun. Radio Eng., vol. 79, no. 18, p. 1579, 2020. doi: 1010.1615/TelecomRadEng.v79.i18.10

A.V. Bulashenko and S.I. Piltyay, “Equivalent microwave circuit technique for waveguide iris polarizers development, ” RADAP, vol. 83. pp. 17–28, 2020.

A.V. Bulashenko et. al., “Wave matrix technique for waveguide iris polarizers simulation. Theory”, J. Nano- Electron. Phys., vol. 12, no. 6, pp. 06026–1, 2020. doi: 10.21272/jnep.12(6).06026

R. Tascone et. al., “Scattering matrix approach for the design of microwave filters,” IEEE Trans. Microw. Theory Tech., vol. 48, no. 3, pp. 423–430, 2000. doi: 10.1109/22.826842

S. Amari, “Synthesis of cross-coupled resonator filters using an analytical gradient-based optimization technique,” IEEE Trans. Microw. Theory Tech., vol. 48, no. 9, pp. 1559–1564, 2000. doi: 10.1109/22.869008

J.R. Sanchez et. al., “Microwave filter based on substrate integrated waveguide with alternating dielectric line sections,” IEEE Microw. Wireless Compon. Lett., vol. 28, no. 11, pp. 990–992, 2018. doi: 10.1109/LMWC.2018.2871644

A.V. Bulashenko, “Evaluation of D2D communications in 5G networks”, RADAP, no. 81, pp. 21–29, 2020. doi: 10.20535/RADAP.2020.81.21-29

A.V. Bulashenko et. al., “Mathematical modeling of iris-post sections for waveguide filters, phase shifters and polarizers,” in Proc. IEEE 2nd Int. Conf. Advanced Trends Information Theory, Kyiv, Ukraine, 2020, pp. 330–336.

D. Yu. Kulik et. al., “Compact-size polarization rotators on the basis of irises with rectangular slots,” Telecommun. Radio Eng., vol. 75, no. 1, pp. 1–9, 2016. doi: 10.1615/TelecomRadEng.v75.i1.10

Y.-P. Lyu et. al., “Proposal and synthesis design of differential phase shifters with filtering function,” IEEE Trans. Microw. Theory Tech., vol. 65, no. 8, pp. 2906–2917, 2017. doi: 10.1109/TMTT.2017.2673819

A.A. Kirilenko et. al., “Comparative analysis of tunable compact rotators,” J. Electromagn. Waves Applicat. Microw. Antennas and Propag., vol. 33, no. 3, pp. 304–319, 2019. doi: 10.1080/09205071.2018.1550443

A.A. Kirilenko et. al., “Design and optimization of broadband ridged coaxial waveguide polarizers,” in Int. Kharkov Symp. Physics Engineering Microwaves Millimeter Submillimeter Waves (MSMW), Kharkiv, Ukraine, pp. 445–447, 2013. doi: 10.1109/MSMW.2013.6622082

Yu. Tikhov, “Comparison of two kinds of Ka-band circular polarisers for use in a gyro-travelling wave amplifier,” IET Microw. Antenn. Propag., vol. 10, no. 2, pp. 147–151, 2016. doi: 10.1049/IET-MAP.2015.0292

F.F. Dubrovka and S.I. Piltyay, “A novel wideband coaxial polarizer”, in 2013 IX Int. Conf. Antenna Theory Techniques (ICATT), Kyiv, Ukraine, pp. 473–474, 2013. doi: 10.1109/ICATT.2013.6650816

A.W. Pollak and M.E. Jones, “A compact quad-ridge orthogonal mode transducer with wide operational bandwidth,” IEEE Antennas Wireless Propag. Lett., vol. 17, no. 3, pp. 422–425, 2018. doi: 10.1109/LAWP.2018.2793465

A.V. Bulashenko et. al., “Optimization of a polarizer based on a square waveguide with irises,” Science-Based Technol., vol. 47, no. 3, pp. 287–297, 2020. doi: 10.18372/2310-5461.47.14878

I. Agnihotri and S.K. Sharma, “Design of a compact 3-D metal printed Ka-band waveguide polarizer,” IEEE Antennas Wireless Propag. Lett., vol. 18, no. 12, pp. 2726–2730, 2019. doi: 10.1109/LAWP.2019.2950312

G. Mishra et. al., “A circular polarized feed horn with inbuilt polarizer for offset reflector antenna for $W$-band CubeSat applications,” IEEE Trans. Antennas Propag., vol. 67, no. 3, pp. 1904–1909, 2019. doi: 10.1109/TAP.2018.2886704

S.I. Piltyay et. al., “Compact polarizers for satellite information systems,” IEEE Int. Conf. Problems Infocommunications. Science Technology (PIC S&T), Kharkiv, Ukraine, 2020, pp. 317–322.

S.I. Piltyay et. al., “Waveguide iris polarizers for Ku-band satellite antenna feeds,” J. Nano- Electron. Phys., vol. 12, no. 5, pp. 05024–1, 2020. doi: 10.21272/jnep.12(5).05024

A.A. Kirilenko et. al., “A tunable compact polarizer in a circular waveguide”, IEEE Trans. Microw. Theory Tech., vol. 67, no. 2, pp. 592–596, 2019. doi: 10.1109/TMTT.2018.2881089

B. Deutschmann and A.F. Jacob, “Broadband septum polarizer with triangular common port,” IEEE Trans. Microw. Theory Tech., vol. 68, no. 2, pp. 693–700, 2020. doi: 10.1109/TMTT.2019.2951138

F.F. Dubrovka et. al., “Circularly polarised X-band H11- and H21-modes antenna feed for monopulse autotracking ground station: Invited paper,” in 2020 IEEE Ukrainian Microwave Week (UkrMW), Kharkiv, Ukraine, pp. 196–202, 2020. doi: 10.1109/UkrMW49653.2020.9252600

R.E. Collin, Fondations for microwave engineering, 2nd ed. New Jersey: John Wiley & Sons 2001, 945p.

N. Marcuvitz, Waveguide handbook, London: Peter Peregrinus, 1986, 448 p. doi: 10.1049/PBEW021E

T.A. Milligan, Modern Antenna Design, 2nd ed. New Jersey: John Wiley & Sons, 2005, 632 p.

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