Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T21:56:10.876Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytical solution of higher order modes of a dielectric-lined eccentric coaxial cable

Published online by Cambridge University Press:  15 July 2020

Mehdi Gholizadeh Open the ORCID record for Mehdi Gholizadeh [Opens in a new window]  and
Farrokh Hojjat Kashani
Mehdi Gholizadeh*
Affiliation:
Department of Electrical Engineering, Iran University of Science & Technology, Narmak, Tehran, Iran
Farrokh Hojjat Kashani
Affiliation:
Department of Electrical Engineering, Iran University of Science & Technology, Narmak, Tehran, Iran
*
Author for correspondence: Mehdi Gholizadeh, E-mail: mehdi.gholizadeh1991127@gmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

This study provides an analytic method for the calculation of the cutoff frequencies and waveguide modes of a partially filled eccentric coaxial cable. The method is based on the expressions of the involved electromagnetic fields in bipolar coordinate systems and the validity range of the solution is discussed. It is shown how the waveguide geometry and dielectric parameters may be selected to engineer the lined waveguide's spectral response. Numerical results are included which show good agreement with the corresponding results from full-wave simulations by commercial software.

Keywords

Analytical SolutionHybrid ModesCutoff FrequenciesDielectric-Lined Eccentric Coaxial Cable
Type
EM Field Theory
Information
International Journal of Microwave and Wireless Technologies , Volume 13 , Issue 3 , April 2021 , pp. 247 - 254
Check for updates
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chakrabarty, SB, Sharma, SB and Das, BN (2009) Higher-order modes in circular eccentric waveguides. Electromagnetics 29, 377–383.CrossRefGoogle Scholar
Davidovitz, M and Lo, YT (1987) Cutoff wavenumbers and modes for annular-cross-section waveguide with eccentric inner conductor of small radius. IEEE Transactions on Microwave Theory and Techniques 35, 510–515.CrossRefGoogle Scholar
Kotsis, AD and Roumeliotis, JA (2014) Cutoff wavenumbers of eccentric circular metallic waveguides. IET Microwaves, Antennas & Propagation 8, 104–111.CrossRefGoogle Scholar
Kotsis, AD and Roumeliotis, JA (2017) Cutoff wavenumbers of circular metallic waveguides with eccentricity. Proceedings of 19th Conference Computation of Electromagnetic Fields (COMPUMAG). pp. 1–2.Google Scholar
Yee, HY and Audeh, NF (1966) Cutoff frequencies of eccentric waveguides. IEEE Transactions on Microwave Theory and Techniques 14, 487–493.CrossRefGoogle Scholar
Abaka, E (1969) TE and TM modes in transmission lines with circular outer conductor and eccentric circular inner conductor. Electronics Letters 5, 251–252.CrossRefGoogle Scholar
Roumeliotis, JA, Hossain, AS and Fikioris, JG (1980) Cutoff wave numbers of eccentric circular and concentric circular-elliptic metallic wave guides. Radio Science 15, 923–937.CrossRefGoogle Scholar
Kuttler, JR (1984) A new method for calculating TE and TM cutoff frequencies of uniform waveguides with lunar or eccentric annular cross section. IEEE Transactions on Microwave Theory and Techniques 32, 348–354.CrossRefGoogle Scholar
Das, BN and Vargheese, OJ (1994) Analysis of dominant and higher order modes for transmission lines using parallel cylinders. IEEE Transactions on Microwave Theory and Techniques 42, 681–683.CrossRefGoogle Scholar
Lin, SL, Li, LW, Yeo, TS and Leong, MS (2001) Analysis of metallic waveguides of a large class of cross sections using polynomial approximation and superquadric functions. IEEE Transactions on Microwave Theory and Techniques 49, 1136–1139.CrossRefGoogle Scholar
Yang, H and Lee, S (2001) A variational calculation of TE and TM cutoff wavenumbers in circular eccentric guides by conformal mapping. Microwave and Optical Technology Letters 31, 381–384.CrossRefGoogle Scholar
Das, BN and Chakrabarty, SB (1995) Evaluation of cut-off frequencies of higher order modes in eccentric coaxial line. IEE Proceedings-Microwaves, Antennas and Propagation 142, 350–356,.CrossRefGoogle Scholar
Das, BN, Chakrabarty, SB and Mallick, AK (1995) Cutoff frequencies of guiding structures with circular and planar boundaries. IEEE Microwave and Guided Wave Letters 5, 186–188, .CrossRefGoogle Scholar
Fan, CM, Young, DL and Chiu, CL (2009) Method of fundamental solutions with external source for the eigenfrequencies of waveguides. Journal of Marine Science and Technology 17, 164–172.Google Scholar
Gholizadeh, M, Baharian, M and Kashani, FH (2019) A simple analysis for obtaining cutoff wavenumbers of an eccentric circular metallic waveguide in bipolar coordinate system. IEEE Transactions on Microwave Theory and Techniques 67, 837–844.CrossRefGoogle Scholar
Dey, R, Agnihotri, I, Chakrabarty, S and Sharma, SB (2007) Cut-off wave number and dispersion characteristics of eccentric annular guide with dielectric support. In 2007 IEEE Applied Electromagnetics Conference (AEMC). December 2007, pp. 1–4.CrossRefGoogle Scholar
Vardiambasis, IO, Tsalamengas, JL and Kostogiannis, K (2003) Propagation of EM waves in composite bianisotropic cylindrical structures. IEEE Transactions on Microwave Theory and Techniques 51, 761–766.CrossRefGoogle Scholar
Gholizadeh, M and Hojjat-Kashani, F (2020) A new analytical method for studying higher order modes of a two-wire transmission line. Progress in Electromagnetics Research 88, 11–20.CrossRefGoogle Scholar
Lewis, JE and Kharadly, MMZ (1968) Surface-wave modes in dielectric-lined coaxial cables. Radio Science 3, 1167–1174.CrossRefGoogle Scholar