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ARTIFICIAL MAGNETIC PROPERTIES OF DIELECTRIC METAMATERIALS IN TERMS OF EFFECTIVE CIRCUIT MODEL

By L. Liu, J. Sun, X. Fu, J. Zhou, Q. Zhao, B. Fu, J. Liao, and D. Lippens

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Abstract:
An effective series RLC model for the electromagnetic response of weakly absorbing dielectric sphere near the first magnetic dipole resonance was developed, and the effective magnetic properties of Mie resonance-based dielectric metamaterials were obtained in terms of this model. In comparison with traditional effective medium theory such as extended Maxwell-Garnett (EMG) theory based on Mie model, this approach is more intuitive and can give an analytical dependence of the magnetic properties of the composite on the electromagnetic and geometric parameters of the constituting dielectric particles.

Citation:
L. Liu, J. Sun, X. Fu, J. Zhou, Q. Zhao, B. Fu, J. Liao, and D. Lippens, "Artificial Magnetic Properties of Dielectric Metamaterials in Terms of Effective Circuit Model," Progress In Electromagnetics Research, Vol. 116, 159-170, 2011.
doi:10.2528/PIER11033004
http://www.jpier.org/PIER/pier.php?paper=11033004

References:
1. Ramakrishna, S. A., "Physics of negative refractive index materials," Rep. Prog. Phys., Vol. 68, 449-521, 2005.
doi:10.1088/0034-4885/68/2/R06

2. Zhao, Q., J. Zhou, F. Zhang, and D. Lippens, "Mie resonance based dielectric metamaterial," Materials Today, Vol. 12, 60-69, 2009.
doi:10.1016/S1369-7021(09)70318-9

3. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Techn., Vol. 47, 2075-2084, 1999.
doi:10.1109/22.798002

4. Shelby, R., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77-79, 2001.
doi:10.1126/science.1058847

5. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184

6. Gorkunov, M., M. Lapine, E. Shamonina, and K. H. Ringhofer, "Effective magnetic properties of a composite material with circular conductive elements ," Eur. Phys. J. B, Vol. 28, 263-269, 2002.
doi:10.1140/epjb/e2002-00228-4

7. Enkrich, C., M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic metamaterials at telecommunication and visible frequencies," Phys. Rev. Lett., Vol. 95, 203-901, 2005.
doi:10.1103/PhysRevLett.95.203901

8. Linden, S., C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic response of metamaterials at 100 Terahertz," Science, Vol. 306, 1351-1354, 2004.
doi:10.1126/science.1105371

9. Chen, H., L. Ran, J. Huangfu, X. M. Zhang, K. Chen, T. M. Grzegorczyk, and J. A. Kong, "Magnetic properties of S-shaped split-ring resonators," Progress In Electromagnetics Research, Vol. 51, 231, 2005.
doi:10.2528/PIER04051201

10. Chen, H., L. X. Ran, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, "Crankled S-ring resonator with small electrical size," Progress In Electromagnetics Research, Vol. 66, 179-190, 2006.
doi:10.2528/PIER06112003

11. Dolling, G., C. Enkrich, and M. Wegener, "Low-loss negative-index metamaterial at telecommunication wavelengths," Science, Vol. 312, 892-894, 2006.
doi:10.1126/science.1126021

12. Kafesaki, M., I. Tsiapa, N. Katsarakis, T. Koschny, C. M. Soukoulis, and E. N. Economou, "Left-handed metamaterials: The fishnet structure and its variations," Phys. Rev. B, Vol. 75, 235114, 2007.
doi:10.1103/PhysRevB.75.235114

13. Marqués, R., F. Medina, and R. Rafii-El-Idrissi, "Role of bian-isotropy in negative permeability and left-handed metamaterials," Phys. Rev. B, Vol. 65, 144440, 2002.
doi:10.1103/PhysRevB.65.144440

14. Chen, H., L. Ran, and J. Huangfu, "Equivalent circuit model for left-handed metamaterials," J. Appl. Phys., Vol. 100, 024915, 2006.
doi:10.1063/1.2219986

15. O'Brien, S. and J. B. Pendry, "Photonic band-gap effects and magnetic activity in dielectric composites," J. Phys.: Condens. Matter., Vol. 14, 4035-4044, 2002.
doi:10.1088/0953-8984/14/15/317

16. Wang, R., J. Zhou, C.-Q. Sun, L. Kang, Q. Zhao, and J.-B. Sun, "Lefted-handed materials based on crystal lattice vibration," Progress In Electromagnetics Research Letters, Vol. 10, 145-155, 2009.
doi:10.2528/PIERL09070807

17. Jylhä, L., I. Kolmakov, S. Maslovski, and S. Tretyakov, "Modeling of isotropic backward-wave materials composed of resonant spheres," J. Appl. Phys., Vol. 99, 043102, 200.
doi:10.1063/1.2173309

18. Wheeler, M. S., J. S. Aitchison, and M. Mojahedi, "Coated nonmagnetic spheres with a negative index of refraction at infrared frequencie ," Phys. Rev. B, Vol. 73, 045105, 2006.
doi:10.1103/PhysRevB.73.045105

19. Yannopapas, V. and N. V. Vitanov, "Photoexcitation-induced magnetism in arrays of semiconductor nanoparticles with a strong excitonic oscillator strength ," Phys. Rev. B, Vol. 74, 193304, 2006.
doi:10.1103/PhysRevB.74.193304

20. Zhao, Q., L. Kang, B. Du, H. Zhao, Q. Xie, X. Huang, B. Li, J. Zhou, and L. Li, "Experimental demonstration of isotropic negative permeability in a three-dimensional dielectric composite," Phys. Rev. Lett., Vol. 101, 027402, 2008.
doi:10.1103/PhysRevLett.101.027402

21. Doyle, W. T., "Optical properties of a suspension of metal spheres," Phys. Rev. B, Vol. 39, 9852-9858, 1989.
doi:10.1103/PhysRevB.39.9852

22. Grimes, C. A. and D. M. Grimes, "Permeability and permittivity spectra of grannular materials," Phys. Rev. B, Vol. 43, 10780-10788, 1991.
doi:10.1103/PhysRevB.43.10780

23. Ruppin, R., "Evaluation of extended Maxwell-Garnett theories," Opt. Commun., Vol. 182, 273-279, 2000.
doi:10.1016/S0030-4018(00)00825-7

24. Videen, G. and W. S. Bickel, "Light-scattering resonances in small spheres," Phys. Rev. A, Vol. 45, 6008-6012, 1992.
doi:10.1103/PhysRevA.45.6008

25. Chen, X., T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of metamaterials," Phys. Rev. E, Vol. 70, 016608, 2004.
doi:10.1103/PhysRevE.70.016608

26. Smith, D. R., D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E, Vol. 71, 036617, 2005.
doi:10.1103/PhysRevE.71.036617

27. Wheeler, M. S., J. S. Aitchison, and M. Mojahedi, "Coupled magnetic dipole resonances in sub-wavelength dielectric particle clusters," J. Opt. Soc. Am. B, Vol. 27, 1083-1091, 2010.
doi:10.1364/JOSAB.27.001083

28. Peng, L., L. Ran, H. Chen, H. Zhang, J. A. Kong, and T. M. Grzegorczyk, "Experimental observation of left-handed behavior in an array of standard dielectric resonators," Phys. Rev. Lett., Vol. 98, 157403, 2010.
doi:10.1103/PhysRevLett.98.157403


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