volume | PIER Journals

Abstract

In this paper, we report experimentally and numerically on coupling effects of dielectric metamaterial dimer (metadimer) which composed of two identical ceramic cubes with high permittivity. The distance dependence of Mie resonance for metadimer is investigated under various polarizations of external wave. By changing the configurations and alignment of dimer resonator, it is revealed that magnetic and electric resonances of metadimer exhibits a red/blue shift, resulting from longitudinal or transverse coupling effects of dipoles. Besides, quasi bound states between tightly stacked dielectric cubes are also been pointed out for electric Mie resonance, which is responsible for an unexpected frequency shift with a reverse variation.

1. Shelby, R. A., 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

2. Landy, N. I., S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, "Perfect metamaterial absorber," Phys. Rev. Lett., Vol. 100, 207402, 2008.
doi:10.1103/PhysRevLett.100.207402

3. Zhu, B., Z. Wang, C. Huang, Y. Feng, J. Zhao, and T. Jiang, "Polarization insensitive metamaterial absorber with wide incident angle," Progress In Electromagnetics Research, Vol. 101, 231-239, 2010.
doi:10.2528/PIER10011110

4. Li, M., H.-L. Yang, X.-W. Hou, Y. Tian, and D.-Y. Hou, "Perfect metamaterial absorber with dual bands," Progress In Electromagnetics Research, Vol. 108, 37-49, 2010.
doi:10.2528/PIER10071409

5. Huang, L. and H. Chen, "Multi-band and polarization insensitive metamaterial absorber," Progress In Electromagnetics Research, Vol. 113, 103-110, 2011.

6. He, X.-J., Y. Wang, J. Wang, T. Gui, and Q. Wu, "Dual-band terahertz metamaterial absorber with polarization insensitivity and wide incident angle," Progress In Electromagnetics Research, Vol. 115, 381-397, 2011.

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

8. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Phys. Rev. Lett., Vol. 76, 4773-4776, 1996.
doi:10.1103/PhysRevLett.76.4773

9. Marqués, R., F. Mesa, J. Martel, and F. Medina, "Comparative analysis of edge and broadside coupled split ring resonators for metamaterial design --- Theory and experiments," IEEE Trans. Antennas Propag., Vol. 51, 2572-2581, 2003.
doi:10.1109/TAP.2003.817562

10. Chen, H., L.-X. Ran, J. T. Huang-Fu, X.-M. Zhang, K.-S. Cheng, T. M. Grzegorczyk, and J. A. Kong, "Magnetic properties of S-shaped split-ring resonators," Progress In Electromagnetics Research, Vol. 51, 231-247, 2005.
doi:10.2528/PIER04051201

11. Chen, H., L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. A. Kong, "Left-handed materials composed of only S-shaped resonators," Phys. Rev. E, Vol. 70, 057605, 2004.
doi:10.1103/PhysRevE.70.057605

12. Feng, T., Y. Li, H. Jiang, W. Li, F. Yang, X. Dong, and H. Chen, "Tunable single-negative metamaterials based on microstrip transmission line with varactor diodes loading," Progress In Electromagnetics Research, Vol. 120, 35-50, 2011.

13. Ourir, A., R. Abdeddaim, and J. de Rosny, "Tunable trapped mode in symmetric resonator designed for metamaterials," Progress In Electromagnetics Research, Vol. 101, 115-123, 2010.
doi:10.2528/PIER09120709

14. Smith, D. R., S. Schultz, P. Marko·s, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B, Vol. 65, 195104, 2002.
doi:10.1103/PhysRevB.65.195104

15. Chen, X., T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, 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

16. Croënne, C., B. Fabre, D. Gaillot, O. Vanbésien, and D. Lippens, "Bloch impedance in negative index photonic crystals," Phys. Rev. B, Vol. 77, 125333, 2008.
doi:10.1103/PhysRevB.77.125333

17. Liu, H., J. X. Cao, S. N. Zhu, N. Liu, R. Ameling, and H. Giessen, "Lagrange model for the chiral optical properties of stereometamaterials," Phys. Rev. B, Vol. 81, 241403(R), 2010.

18. Liu, H., Y. M. Liu, T. Li, S. M. Wang, S. N. Zhu, and X. Zhang, "Coupled magnetic plasmons in metamaterials," Phys. Status Solidi B, Vol. 246, 1397, 2009.
doi:10.1002/pssb.200844414

19. Liu, N. and H. Giessen, "Coupling effects in optical metamaterials," Angew. Chem. Int. Ed., Vol. 49, 9838-9852, 2010.
doi:10.1002/anie.200906211

20. Feth, N., M. König, M. Husnik, K. Stannigel, J. Niegemann, K. Busch, M. Wegener, and S. Linden, "Electromagnetic interaction of split-ring resonators: The role of separation and relative orientation," Opt. Express, Vol. 18, 6545-6554, 2010.
doi:10.1364/OE.18.006545

21. Sersic, I., M. Frimmer, E. Verhagen, and A. F. Koenderink, "Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays ," Phys. Rev. Lett., Vol. 103, 213902, 2010.
doi:10.1103/PhysRevLett.103.213902

22. Carbonell, J., E. Lheurette, and D. Lippens, "From rejection to transmission with stacked arrays of split ring resonators," Progress In Electromagnetics Research, Vol. 112, 215-224, 2011.

23. Zhang, F., Q. Zhao, J. Sun, J. Zhou, and D. Lippens, "Coupling effect of split ring resonator and its mirror image," Progress In Electromagnetics Research, Vol. 124, 233-247, 2012.
doi:10.2528/PIER11121808

24. Lewin, L., "The electrical constants of a material loaded with spherical particles," Proc. Inst. Electr. Eng., Vol. 94, 65-68, 1947.

25. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York, 1998.

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

27. Holloway, C. H., E. F. Kuester, J. Baker-Jarvis, and P. Kabos, "A double negative (dng) composite medium composed of magnetodielectric spherical particles embedded in a matrix," IEEE Trans. Antennas Propag., Vol. 51, 2596-2603, 2003.
doi:10.1109/TAP.2003.817563

28. Zhao, Q., J. Zhou, F. Zhang, and D. Lippens, "Mie resonance-based dielectric metamaterial," Mater. Today, Vol. 12, 36-45, 2009.
doi:10.1016/S1369-7021(09)70318-9

29. Liu, L., 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.

30. Kang, L., V. Sadaune, and D. Lippens, "Numerical analysis of enhanced transmission through a single subwavelength aperture based on mie resonance single particle," Progress In Electromagnetics Research, Vol. 113, 211-226, 2011.

31. Lepetit, T., E. Akmansoy, and J.-P. Ganne, "Experimental measurement of negative index in an all-dielectric metamaterial," Appl. Phys. Lett., Vol. 95, 121101, 2009.
doi:10.1063/1.3232222

32. Lin, X. Q., T. J. Cui, J. Y. Chin, X. M. Yang, Q. Cheng, and R. Liu, "Controlling electromagnetic waves using tunable gradient dielectric metamaterial lens," Appl. Phys. Lett., Vol. 92, 131904, 2008.
doi:10.1063/1.2896308

33. Kozlov, D. S., M. A. Odit, I. B. Vendik, Y.-G. Roh, S. Cheon, and C.-W. Lee, "Tunable terahertz metamaterial based on resonant dielectric inclusions with disturbed Mie resonance," Appl. Phys. A, Vol. 106, 465-470, 2012.
doi:10.1007/s00339-011-6716-2

34. 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, 2007.
doi:10.1103/PhysRevLett.98.157403

35. 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

36. Zhang, F., Q. Zhao, L. Kang, J. Zhou, and D. Lippens, "Experimental verification of isotropic and polarization properties of high permittivity-based metamaterial," Phys. Rev. B, Vol. 80, 195119, 2009.
doi:10.1103/PhysRevB.80.195119

37. Schuller, J. A., R. Zia, T. Taubner, and M. L. Brongersma, "Dielectric metamaterials based on electric and magnetic resonances of silicon carbide particles," Phys. Rev. Lett., Vol. 99, 107401, 2007.
doi:10.1103/PhysRevLett.99.107401

38. Popa, B.-I. and S. A. Cummer, "Full-wave simulations of electromagnetic cloaking structures," Phys. Rev. Lett., Vol. 100, 207401, 2008.
doi:10.1103/PhysRevLett.100.207401

39. Ginn, J. C., I. Brene, D. W. Peters, J. R. Wendt, J. O. Stevens, P. F. Hines, L. I. Basilio, L. K. Warne, J. F. Ihlefeld, P. G. Clem, and M. B. Sinclair, "Realizing optical magnetism from dielectric metamaterials," Phys. Rev. Lett., Vol. 108, 097402, 2012.
doi:10.1103/PhysRevLett.108.097402

40. Miroshnichenko, A. E., B. Luk'yanchuk, S. A. Maier, and Y. S. Kivshar, "Optically induced interaction of magnetic moments in hybrid metamaterials," Acs Nano, Vol. 6, 837-842, 2012.
doi:10.1021/nn204348j

41. Lai, Y. J., C. K. Chen, and T. J. Yen, "Creating negative refractive identity via single dielectric resonators," Opt. Express, Vol. 17, 12960-12970, 2009.
doi:10.1364/OE.17.012960

42. 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

43. Zhang, F., L. Kang, Q. Zhao, J. Zhou, and D. Lippens, "Magnetic and electric coupling effects of dielectric metamaterial," New J. Phys., Vol. 14, 033031, 2012.
doi:10.1088/1367-2630/14/3/033031

44. Cao, L., P. Fan, and M. L. Brongersma, "Optical coupling of deep-subwavelength semiconductor nanowires," Nano Lett., Vol. 11, 1461-1468, 2010.

45. Hao, E. and G. C. Schatz, "Electromagnetic fields around silver nanoparticles and dimmers," J. Chem. Phys., Vol. 120, 357-366, 2004.
doi:10.1063/1.1629280

Dr. Fuli Zhang

Dr. Veronique Sadaune

Dr. Lei Kang

Prof. Qian Zhao

Dr. Ji Zhou

Prof. Didier Lippens