Analysis of Bi-Isotropic Media using Hybrid Boundary Element Method

Authors

  • Mirjana T. Peric Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia
  • Saša S. Ilić Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia
  • Ana N. Vučković Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia
  • Nebojša B. Raičević Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia

DOI:

https://doi.org/10.13052/2021.ACES.J.361001

Keywords:

Bi-isotropic media, Characteristic impedance, effective relative permittivity, finite element methods, hybrid boundary element method, microstrip line.

Abstract

This paper proposes the application of the hybrid boundary element method (HBEM) for analysis of bi-isotropic media of Tellegen type. In previous applications of this method it was possible to analyze only the electromagnetic problems in isotropic media. The main contribution of this paper is the modification of the method itself, in order to solve a large scale of quasi-static TEM problems in bi-isotropic media. Detailed theoretical analysis and HBEM procedure are described and applied. Characteristic parameters of a microstrip line with bi-isotropic substrate are analyzed. Obtained results have been compared with available numerical and software simulation results. A close results match can be noticed.

Downloads

Download data is not yet available.

Author Biographies

Mirjana T. Peric, Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia

Mirjana Perić received the Dipl.–Ing., M.Sc. and Ph.D. degrees from the Faculty of Electronic Engineering (FEE) of Niš, Serbia. In 2001, she joined the Department of Theoretical Electrical Engineering at the FEE. She is currently an assistant professor at the same faculty.

Her researching interests are: electromagnetic field theory, analytical and numerical methods for electromagnetic field calculations, electromagnetic compatibility, and transmission line analysis.

She is a member of the ACES, IEEE MTT and IEEE EMC societies.

Saša S. Ilić, Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia

Saša S. Ilić received Dipl.-Ing. degree in electronics and telecommunications in 1995 from the Faculty of Electronic Engineering (FEE) of Niš, Serbia. At the same faculty he received M.Sc. and Ph.D. degrees in theoretical electrical engineering in 2001 and 2014, respectively.

From January 1998 up to now, he has engaged to the Department of Theoretical Electrical Engineering, at the FEE.

His researching areas are: lightning protection systems, low-frequency electromagnetic fields penetrated into human body and microstrip transmission lines analysis with isotropic, anisotropic, and bianisotropic media.

Ana N. Vučković, Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia

Ana Vučković received the Dipl.-Ing., M.Sc., and Ph.D. degrees from the Faculty of Electronic Engineering of Niš, Serbia. In 2003, she joined the Department of Theoretical Electrical Engineering at the FEE. She works as an assistant professor at the same faculty.

Her main research area is computational electromagnetics (electromagnetic field theory, analytical and numerical methods for electromagnetic field calculations, electromagnetic compatibility and permanent magnet analysis). Also, she took part in numerous international projects and projects supported by the Serbian Ministry of Education and Science. She is a member of the ACES society.

Nebojša B. Raičević , Department of Theoretical Electrical Engineering University of Niš, Faculty of Electronic Engineering, 18000 Niš, Serbia

Nebojša Raičević received his Dipl.-Ing., M. Sc., and Ph.D. degrees at the Faculty of Electronic Engineering (FEE) of Niš, Serbia, in 1989, 1998, and 2010, respectively. He received the Dr.-Ing. degree with a PhD-thesis dealing with the numerical electromagnetic field calculations.

He is currently an associate professor at the FEE. His research interests include: cable terminations and joints, numerical methods for EM problems solving, microstrip transmission lines with isotropic, anisotropic, and bianisotropic media, metamaterial structures, EMC, nonlinear electrostatic problems, magnetic field calculation of coils and permanent magnets. He is a member of the IEEE AP Society, IEEE EMC Society, IEEE Dielectrics and Electrical Insulation Society, and IEEE Magnetics Society.

References

D. M. Pozar, Microwave Engineering, John Wiley & Sons, New York, Chapter 1, pp. 2-6, 2012.

M. Perić, Quasi-static approach for microwave transmission lines analysis, PhD thesis, Faculty of Electronic Engineering of Niš, Serbia, 2015. (in Serbian)

T. Itoh and R. Mittra, “Analysis of microstrip trans¬mission lines,” Advances in Microwaves, no. 8, pp. 67-141, 1974.

E. Yamashita and R. Mittra, “Variational method for the analysis of microstrip lines,” IEEE Trans. Microwave Theory Tech., vol. 16, no. 4, pp. 251-256, April 1968.

T. Chang and C. Tan, “Analysis of a shielded microstrip line with finite metallization thickness by the boundary element method,” IEEE Trans. Micro¬wave Theory Tech., no. 8, pp. 1130–1132, Aug. 1990.

Z. Pantic and R. Mittra, “Quasi-TEM analysis of microwave transmission lines by the finite-element method,” IEEE Trans. Microwave Theory Tech., vol. 34, no. 11, 1096–1103, Nov. 1986.

Y. M. Tao, D. G. Fang and X. G. Li, “Full-wave hybrid-mode analysis of general structure of coplanar waveguides by using the method of lines,” Microwave Opt. Technol. Lett., vol. 7, no. 1, pp. 17–19, Jan. 1994.

N. Raičević, S. Aleksić and S. Ilić, “A hybrid boundary element method for multi-layer electro-static and magnetostatic problems,” Journal of El¬ectromagnetics, vol. 30, no. 6, pp. 507-524, 2010.

D. M. Veličković, “Equivalent electrodes method,” Scientific Review, no. 21–22, pp. 207–248, 1996.

C. A. Brebbi, J. C. F. Telles and L. C. Wrobel., Boun¬dary element techniques: Theory and appli-cations in engineering, Springer, Berlin, 1984.

N. Raičević, S. Ilić and S. Aleksić, “Application of new hybrid boundary element method on the cable terminations,” 14th International IGTE Symposium, Graz, Austria, pp. 56-61, Sept. 2010.

A. Vučković, N. Raičević and M. Perić, “Radially magnetized ring permanent magnet modelling in the vicinity of soft magnetic cylinder,” Safety Engineering, vol. 8, no. 1, pp. 33-37, 2018.

A. Vučković, D. Vučković, M. Perić and N. Rai-čević, “Influence of the magnetization vector mis¬alignment on the magnetic force of permanent ring magnet and soft magnetic cylinder,” Int. Jou¬rnal of Applied Electromagnetics and Mechanics, IOS Press, vol. 65, no. 3, pp. 417 – 430, 2021.

S. Ilić, M. Perić, S. Aleksić and N. Raičević, “Hybrid boundary element method and quasi TEM analysis of 2D transmission lines – generali-zation,” Electromagnetics, vol. 33, no. 4, pp. 292-310, Apr. 2013.

M. Perić, S. Ilić, S. Aleksić and N. Raičević, “Application of hybrid boundary element method to 2D microstrip lines analysis,” Int. Journal of Applied Electromagnetics and Mechanics, vol. 42, no. 2, pp. 179-190, 2013.

M. Perić, S. Ilić, S. Aleksić and N. Raičević, “Characteristic parameters determination of diffe¬rent striplines configurations using HBEM,” ACES journal, vol. 28, no. 9, pp. 858-865, Sept. 2013.

M. Perić, S. Ilić, A. Vučković and N. Raičević, “Improving the efficiency of hybrid boundary element method for electrostatic problems solving,” ACES journal, vol. 35, no. 8, pp. 872-877, Aug. 2020.

E. Rothwell and M. Cloud, Electromagnetics, Chapter 2, CRC Press, 2001.

D. M. Veličković and Ž. J. Mančić, “Low frequency electromagnetic field analysis in biani-sotropic media,” 3rd IEEE INTERMAG 93, Stockholm, Sweden, pp. 11-14, Apr. 1993.

P. Koivisto and J. Sten, “Quasi-static image method applied to bi-isotropic microstrip geometry,” IEEE Trans. Microwave Theory Tech., vol. 43, no. 1, pp. 169–175, Jan.1995.

F. Olyslager, E. Laermans and D. De Zutter, “Rigorous quasi-TEM analysis of multiconductor transmission lines in bi-isotropic media – part I: theoretical analysis for general inhomogeneous media and generalization to bianisotropic media,” IEEE Trans. Microwave Theory Tech., vol. 43, no. 7, pp. 1409-1415, July 1995.

F. Olyslager, E. Laermans and D. De Zutter, “Rigorous quasi-TEM analysis of multiconductor transmission lines in bi-isotropic media – part II: numerical solution for layered media,” IEEE Trans. Microwave Theory Tech., vol. 43, no. 7, pp. 1416-1423, July 1995.

Ž. J. Mančić and V. V. Petrović, “Quasi-static analysis of the shielded microstrip line with bi-isotropic substrate by the strong FEM formula-tion,” 11th Int. Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services – TELSIKS 2013, Serbia, Niš, pp. 513-516, Oct. 2013.

C. Zebiri, D. Sayad, S. Daudi and F. Benab-delaziz, “Microstrip line printed on a bianisotropic medium,” Icosipe 2015, Algeria, Tlemcen, pp. 111-120, 2015.

S. Daoudi, F. Benabdelaziz, C. Zebiri and D. Sayad, “Generalized exponential matrix technique application for the evaluation of the dispersion characteristics of a chiro-ferrite shielded multi¬layered microstrip line,” Progress in Electromag¬netic Research - PIER, vol. 61, pp. 1-14, 2017.

A. Semichaevsky, A. Akyurtlu, D. Kern and D. Werner, “Analysis of the interaction of electro-magnetic waves with a chyral cylinder using a novel FDTD approach,” 20th Annual Review of Progress in Applied Computational Electro-magnetics, USA, April 19-23, 2004.

S. T. Imeci, F. Altunkilic, J. R. Mautz, E. Arvas, “Transmission through an arbitrarily shaped aperture in a conducting plane separating air and a chiral medium,” ACES journal, vol. 25, no. 7, pp. 587-599, July 2010.

A. B. Olcen, S. T. Imeci, M. Gokten, J. Mautz and E. Arvas, “Method of moments analysis of elec-tro¬magnetic transmission though an arbitrarily shaped 3D cavity in a thick conducting plane,” ACES journal, vol. 30, no. 11, pp. 1137-1145, Nov. 2015.

A. H. Sihvola, “Electromagnetic modeling of bi-isotropic media,” Progress in Electromagnetic Research - PIER, no. 9, pp. 45-86, 1994.

FlexPDE, ver. 5, PDE Solutions Inc., 2009.

Downloads

Published

2021-11-21

How to Cite

[1]
M. T. Peric, S. S. . Ilić, A. N. . Vučković, and N. B. . Raičević, “Analysis of Bi-Isotropic Media using Hybrid Boundary Element Method”, ACES Journal, vol. 36, no. 10, pp. 1265–1273, Nov. 2021.

Issue

2021: Vol 36 Iss 10

Section

Articles