Approximate 3D model of electromagnetic modes in waveguide cross-shaped junctions with dielectric filling

Alexander V. Strizhachenko

doi:10.3103/S0735272717120068

Authors

Alexander V. Strizhachenko Karazin Kharkiv National University, Ukraine https://orcid.org/0000-0002-5115-5446

DOI:

https://doi.org/10.3103/S0735272717120068

Keywords:

waveguide junction, hybrid mode, electrodynamic model, dielectric

Abstract

A three-dimensional electrodynamic model of hybrid electromagnetic modes in a waveguide junction of cylindrical and rectangular waveguides with dielectric filling of a cylindrical waveguide is proposed in this study. To solve the vector problem, the mode matching technique (MMT) is applied with the separation of the common waveguide junction region and the representation of the field in this region in the form of superposition of the fields of the partial eigenwaves of waveguides. Classification of eigenmodes is carried out: intrinsic resonances of junction based on transcendental modes and resonances of a waveguide-dielectric type. The investigated structure can be used for measuring the electrical parameters of dielectric samples of both cylindrical and rectangular cross-section shape. Since the spectral characteristics of the junction are determined mainly by the size of the central coupling region of the waveguides and the electrical parameters of the dielectric in the junction, the measurements are of a local nature.

References

STRIZHACHENKO, A.V. Electrodynamics of waveguide junctions with anisotropic loading. Radioelectron. Commun. Syst., v.51, n.8, p.444-447, 2008. DOI: https://doi.org/10.3103/S0735272708080074.

MAKEEV, Y.G.; RUD, L.A.; OSTRITSKAYA, S.Y. Intrinsic axially-asymmetric modes of circular and radial waveguide junctions. Radiotekh. Elektron., v.39, n.10, p.1497-1502, 1994.

SHESTOPALOV, V.P.; KIRILENKO, A.A.; RUD, L.A. Resonance Wave Scattering. Waveguide Inhomogenuities [in Russian]. Kyiv: Naukova Dumka, 1986.

WU, K.-L.; YU, M.; SIVADAS, A. Novel modal analysis of a circular-to-rectangular waveguide T-junction and its application to design of circular waveguide dual-mode filters. IEEE Trans. Microwave Theory Tech., v.50, n.2, p.465-473, 2002. DOI: https://doi.org/10.1109/22.982225.

STRIZHACHENKO, A.V. The measurement of permittivity tensor of uniaxial crystals with tetragonal and hexagonal symmetry at microwaves. Electrical Power Eng. Frontier, v.2, n.1, p.17-21, 2013. URI: http://www.academicpub.org/epef/paperInfo.aspx?PaperID=13820.

KIRILENKO, A.A.; KULIK, D.Y.; STESHENKO, S.A. The key algorithm of a mode-matching technique in the analysis of resonant posts and tee, turnstile and some other kinds of multi-arm junctions. Telecom. Radio Eng., v.76, n.1, p.19-34, 2017. DOI: http://doi.org/10.1615/TelecomRadEng.v76.i1.20.

KRAUSS, P.; ARNDT, F. Rigorous mode-matching method for the modal analysis of the T-junction circular to sidecoupled rectangular waveguide. Proc. IEEE MTT-S Int. Microwave Symp. Dig., 16-20 May 1995, Orlando, Fl, USA. IEEE, 1995, p.1355-1358. DOI: https://doi.org/10.1109/MWSYM.1995.406222.

RUD, L.A.; SIRENKO, Y.K.; SHESTOPALOV, V.P.; YASHINA, N.P. Algorithms of the spectral problem solution connected with open waveguide resonators. Kharkov: Preprint No. 318/NAS of Ukraine, Institute of Radiophysics and Electronics. IRE AS of Ukrainian SSR, 1986.

MAKEEV, Y.G.; MOTORNENKO, A.P. Natural electromagnetic modes of a resonator formed by cutoff waveguides. Tech. Phys., v.44, n.4, p.426-430, 1999. DOI: https://doi.org/10.1134/1.1259314.