Numerical Calculation of Coils Filled With Bianisotropic Media

Authors: Nebojsa B. Raicevic, Teodoros S. Prokic, Vladan Golubovic

Abstract:

Recently, bianisotropic media again received increasing importance in electromagnetic theory because of advances in material science which enable the manufacturing of complex bianisotropic materials. By using Maxwell's equations and corresponding boundary conditions, the electromagnetic field distribution in bianisotropic solenoid coils is determined and the influence of the bianisotropic behaviour of coil to the impedance and Q-factor is considered. Bianisotropic media are the largest class of linear media which is able to describe the macroscopic material properties of artificial dielectrics, artificial magnetics, artificial chiral materials, left-handed materials, metamaterials, and other composite materials. Several special cases of coils, filled with complex substance, have been analyzed. Results obtained by using the analytical approach are compared with values calculated by numerical methods, especially by our new hybrid EEM/BEM method and FEM.

Keywords: Bianisotropic media, impedance and Q-factor, Maxwell`s equations, hybrid EEM/BEM method.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1331159

References:

[1] B. Tellegen, "The gyrator, a new electric network element", Philips Res. Rep. 3, pp. 81-101, 1948.
[2] I. E. Dzyaloshinskii, "On the Magnetoelectric Effect in Antiferromagnetics", Soviet Phys. JEPT, Vol. 10, pp. 628-629, 1960.
[3] D. N. Astrov, "The Magnetoelectric Effect in Antiferromagnetics", Zh. Eksp. Teor. Fiz., Vol. 38, pp.984-985, 1961.
[4] J. A. Kong, "Theorems of Bianisotropic Media", Proceedings of the IEEE, Vol. 60, No. 9, pp. 1036-1046, September 1972.
[5] A. V. Amirkhizi and S. Nemat-Nasser, "Numerical Calculation of Electromagnetic Properties Including Chirality Parameters for Uniaxial Bianisotropic Media", Smart materials and structures, IOP Publishing Ltd, Vol. 17, pp. 1-9, January 2008.
[6] I. V. Lindell and F. Olyslager, "Potentials in bi-anisotropic media," J. Electromagn. Waves Applicat., vol. 15, no. 1, pp. 3-18, 2001.
[7] A. Serdyukov, I. Semchenko, S. Tretyakov, A. Sihvola, "Electromagnetics of Bi-Anisotropic Materials", OPA, 2001.
[8] A. Serdyukov, I. V. Semchenko, S. A. Tretyakov, and A. Sihvola, "Electromagnetics of Bi-Anisotropic Materials: Theory and Applications", New York: Gordon and Breach, 2001.
[9] S. A. Tretyakov, Electromagnetics of complex media: chiral, biisotropic, and certain bianisotropic materials (a review), J. Commun. Technol. Electron., vol. 39, no. 14, pp. 32-44, 1994.
[10] I. Lindell, A. Sihvola, S. Tretyakov, A. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media. Boston: Artech House, 1994.
[11] A. Lakhtakia, Isotropic Maxwell-Garnett model for biisotropic-inbiisotropic mixtures, Int. J. Infrared Millimeter Waves, vol. 13, no. 4, pp. 551-558, 1992.
[12] N. B. Raicevic, and S. S. Ilic, "One Hybrid Method Application on Complex Media Strip Lines Determination", in. Proc. of 3rd International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, METAMATERIALS 2009, London, United Kingdom, August 30th - September 04th 2009, pp. 698-700.
[13] N. B. Raicevic, and S. S. Ilic, "One Method for Chiral and Metamaterial Strip Lines Determination", in Proc. of International Conference on European Electromagnetics, EUROEM 2008, Lausanne, Switzerland, July 21-25 2008. pp.44-44.
[14] N. B. Raicevic, and S. R. Aleksic, "One method for electric field determination in the vicinity of infinitely thin electrode shells", Engineering Analysis with Boundary Elements, ELSEVIER, vol. 34, no. 2, pp. 97-104, February 2010.
[15] N. B. Raicevic, S. R. Aleksic, and S. S. Ilic, "A Hybrid Boundary Element Method for Multilayer Electrostatic and Magnetostatic Problems", Electromagnetics, TAYLOR & FRANCIS, vol. 30, no. 6, pp. 507-524, August 2010.
[16] N. B. Raicevic, S. R. Aleksic, and S. S. Ilic, "One Numerical Method to Determine Improved Cable Terminations", Electric Power Systems Research, ELSEVIER, vol. 81, no. 4, pp. 942-948, April 2011.
[17] N. B. Raicevic, and S. S. Ilic, "One Method Which Determines the Influence of the Solenoid Coil System Onto the Permanent Magnet", Proc. of the EMC Barcelona '06, pp. 678-683, PThA-12 (on CD), Barcelona (Spain), 04-08 September, 2006.
[18] S. Ilić, S. Aleksić and N. Rai─ìević, "TEM Analysis of Vertical Broadside Symmetrically Coupled Strip Lines with Anisotropic Substrate", International Journal of Applied Electromagnetics and Mechanics, IOS PRESS, vol. 37, no. 2-3, pp. 207-214, October 2011.
[19] N. B. Raicevic and S. R. Aleksic, "One Method For Magnetic Multilayer Systems Determination", in: Computer Field Models of Electromagnetic Devices (Edited by Sławomir Wiak, Ewa Napieralska- Juszczak), Studies in Applied Electromagnetics and Mechanics, IOS PRESS, Amsterdam, The Netherlands, vol.34, chapter 4: Computational Techniques, pp. 220-227, November 2010.
[20] N. Raicevic, S. Aleksic, S. Ilic, "New EEM/BEM Hybrid Method for Electric Field Calculation in Cable Joints", International Journal of World Academy of Science, Engineering and Technology, WASET, Paris, issue 55, no. 79, paper 117, pp. 599-604, july 2011.
[21] S. Ilić, S. Aleksić, N. Rai─ìević, "TEM analysis of vertical broadside symmetrically coupled strip lines with anisotropic substrate", Proceedings of the 11-th Workshop on Optimization and Inverse Problems in Electromagnetism, OIPE 2010, pp. 21-22, Sofia, Bulgaria, 14-18 September, 2010.
[22] S. S. Ilić, N. B. Rai─ìević, "TEM Analysis of Coupled Strip Lines with Anisotropic Substrate", Proc. of the 9 International Conference on Telecommunications in Modern Satelite, Cable and Broadcasting Services, TELSIKS 2009, pp. 347-350, Nis, Serbia, 7-9 October, 2009.
[23] N. B. Rai─ìević, S. S. Ilić: "Equivalent Electrode Method Application on Anisotropic Micro Strip Lines Calculations", Proceedings Papers of International Conference on Electromagnetics in Advanced Applications, ICEAA 07, paper 122 (CD), pp.998-1001, Torino, Italy, September 17-21, 2007.
[24] N. B. Rai─ìević, S. S. Ilić: "One Hybrid Method Application on Anisotropic Strip Lines Determination", Proceedings of the 23rd Annual Review of Progress in Applied Computational Electromagnetics - ACES 2007 (on CD), pp. 8-13, Verona, Italy, March 19-23, 2007.
[25] D. M. Velickovic, "Equivalent electrodes method", Scientific Review - Belgrade, no. 21-22, pp. 207-248, 1996.
[26] D. M. Velickovic, Z. Mancic, "Low Frequency Electromagnetic Field Analysis in Bianisotropic Media", Proceedings of International Magnetic Conference, INTERMAG 93, pp. (EQ)11-14, Stockholm, Sweden, April 13-16, 1993.