Numerical Calculation of Coils Filled With Bianisotropic Media
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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53013", author = "Nebojsa B. Raicevic and Teodoros S. Prokic and Vladan Golubovic", title = "Numerical Calculation of Coils Filled With Bianisotropic Media", 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.", volume = "6", number = "8", pages = "913-6", }
