Electrodynamical model of composite cylindrical structure with laminated dielectric

Alexander V. Strizhachenko

doi:10.3103/S0735272718010053

Authors

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

DOI:

https://doi.org/10.3103/S0735272718010053

Keywords:

compositional structure, resonance frequency, permittivity

Abstract

The article is devoted to the problem of the natural electromagnetic modes, the regions of their existence and the relationship with all possible types of resonances in the waveguide junction of a cylindrical and radial waveguides with a layered (laminated) filling of the radial waveguide with dielectric material. An electrodynamic model is created on the basis of a rigorous method of modal matching technique, with the separation of the common waveguide coupling region and the representation of the field in it in the form of a superposition of the fields of the partial waveguide eigenmodes. The structure under investigation can be used to measure the electrical parameters of dielectric samples of a cylindrical cross-section. It is shown that the measurements will have a local character, since the spectral characteristics of the junctions are determined mainly by the size of the central coupling region of the waveguides and by the electrical parameters of the dielectric that is in the junction. The problem of edge effects for samples of finite length (partial filling of a radial waveguide with dielectric) is investigated. Taking into account the edge effect enables reducing the error in measuring the permittivity for samples of arbitrary sizes in the investigated structure.

References

MAKEEV, Y.G.; RUD’, L.A.; OSTRITSKAYA, S.Y. Axially-symmetric eigenmodes of circular and radial waveguides junction. Radiotekh. Elektron., v.39, n.5, p.1497-1502, 1994.

BERDNIK, S.L.; KATRICH, V.A.; NESTERENKO, M.V.; PENKIN, Y.M. E-plane T-junction of rectangular waveguides with vibrator-slot coupling between arms. Telecom. Radio Eng., v.74, n.14, p.1225-1240, 2015. DOI: http://doi.org/10.1615/TelecomRadEng.v74.i14.10.

STESHENKO, S.O. An algorithm for analyzing planar junctions of waveguides of arbitrary cross-section with the use of eigenfunctions of the common aperture. Telecom. Radio Eng., v.73, n.10, p.851-861, 2014. DOI: http://doi.org/10.1615/TelecomRadEng.v73.i10.10.

ZVYAGINTSEV, A.A.; STRIZHACHENKO, A.V.; FURMAN, D.F. Natural electromagnetic modes in cylindrical waveguide junctions and their use for nondestructive microwave measurements of electromagnetic characteristics of materials. Int. J. Infrared Milli. Waves, v.16, n.5, p.965-975, 1995. DOI: https://doi.org/10.1007/BF02066670.

MAKEEV, Y.G.; MOTORNENKO, A.P.; CHERPAK, N.T.; BABIICHUK, I.P.; KOSMYNA, M.B. On the anisotropy of dielectric permittivity in single crystal lanthanum aluminate substrates. Tech. Phys. Lett., v.28, n.3, p.221-223, 2002. DOI: https://doi.org/10.1134/1.1467281.

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 dual-mode filters. IEEE Trans. Microwave Theory Tech., v.50, n.2, p.465-473, 2002. DOI: https://doi.org/10.1109/22.982225.

ILCHENKO, M.; POPLAVKO, Y.; YUSCHENKO, A.; ET AL. The nondestructive MV test of extended dielectric and metallized dielectric structures parameters by the method of electromagnetic resonances of waveguide junctions. Proc. of 5th Int. Symp. on Recent Advances in Microwave Technology, 11-14 Sept. 1995,Kiev,Ukraine.Kiev, 1996, p.707-710.

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.