Vol. 116

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Artificial Magnetic Properties of Dielectric Metamaterials in Terms of Effective Circuit Model

By Lingyun Liu, Jingbo Sun, Xiaojian Fu, Ji Zhou, Qian Zhao, Bo Fu, Jiaping Liao, and Didier Lippens
Progress In Electromagnetics Research, Vol. 116, 159-170, 2011


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.


Lingyun Liu, Jingbo Sun, Xiaojian Fu, Ji Zhou, Qian Zhao, Bo Fu, Jiaping Liao, and Didier Lippens, "Artificial Magnetic Properties of Dielectric Metamaterials in Terms of Effective Circuit Model," Progress In Electromagnetics Research, Vol. 116, 159-170, 2011.


    1. Ramakrishna, S. A., "Physics of negative refractive index materials," Rep. Prog. Phys., Vol. 68, 449-521, 2005.

    2. Zhao, Q., J. Zhou, F. Zhang, and D. Lippens, "Mie resonance based dielectric metamaterial," Materials Today, Vol. 12, 60-69, 2009.

    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.

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

    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.

    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.

    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.

    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.

    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.

    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.

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

    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.

    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.

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

    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.

    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.

    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.

    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.

    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.

    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.

    21. Doyle, W. T., "Optical properties of a suspension of metal spheres," Phys. Rev. B, Vol. 39, 9852-9858, 1989.

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

    23. Ruppin, R., "Evaluation of extended Maxwell-Garnett theories," Opt. Commun., Vol. 182, 273-279, 2000.

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

    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.

    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.

    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.

    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.