Electromagnetic interaction of split-ring resonators: The role of separation and relative orientation

Optics Express

Volumn 18, Issue 7, 2010, Pages 6545-6554

  Feth, Nils ^a   König, Michael ^b   Husnik, Martin ^b   Stannigel, Kai ^b   Niegemann, Jens ^b   Busch, Kurt ^b   Wegener, Martin ^a,b   Linden, Stefan ^a,b  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GALERKIN METHODS; INFRARED SPECTROSCOPY; OLIGOMERS; OPTICAL RESONATORS; RING GAGES;

COUPLED MODE; DISCONTINUOUS GALERKIN; ELECTROMAGNETIC INTERACTIONS; EXTINCTION CROSS SECTION; MAGNETIC DIPOLE-DIPOLE INTERACTION; NEAR INFRARED; NUMERICAL CALCULATION; PHYSICAL INTERPRETATION; QUALITY FACTORS; RELATIVE ORIENTATION; RESONANCE FREQUENCIES; SPATIAL MODULATIONS; SPLIT-RING RESONATOR; TIME-DOMAIN APPROACH;

RESONANCE;

ALGORITHM; ARTICLE; DIMERIZATION; ELECTROMAGNETIC FIELD; EQUIPMENT DESIGN; MATERIALS TESTING; METHODOLOGY; OPTICS; PHOTON; RADIATION; SCANNING ELECTRON MICROSCOPY; SPECTROPHOTOMETRY;

ALGORITHMS; DIMERIZATION; ELECTROMAGNETIC PHENOMENA; EQUIPMENT DESIGN; MATERIALS TESTING; MICROSCOPY, ELECTRON, SCANNING; OPTICS AND PHOTONICS; PHOTONS; RADIATION; SPECTROPHOTOMETRY;

EID: 77950256810     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.18.006545     Document Type: Article

References (32)

1. S. Linden, C. Enkrich, M. Wegener, J. F. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic response of metamaterials at 100 terahertz," Science 306(5700), 1351-1353 (2004).
2. S. Zhang, W. J. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Midinfrared resonant magnetic nanostructures exhibiting a negative permeability," Phys. Rev. Lett. 94(3), 037402-37411 (2005).
3. C. Enkrich, 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. 95(20), 203901-203911 (2005).
4. V. M. Shalaev, "Optical negative-index metamaterials," Nat. Photonics 1(1), 41-48 (2007).
5. C. M. Soukoulis, S. Linden, and M. Wegener, "Physics. Negative Refractive Index at Optical Wavelengths," Science 315(5808), 47-49 (2007).
6. U. Leonhardt, "Optical conformai mapping," Science 312(5781), 1777-1780 (2006).
7. J. B. Pendry, D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science 312(5781), 1780-1782 (2006).
8. A. V. Rogacheva, V. A. Fedotov, A. S. Schwanecke, and N. I. Zheludev, "Giant Gyrotropy due to Electromagnetic-Field Coupling in a Bilayered Chiral Structure," Phys. Rev. Lett. 97(17), 177401-177411 (2006).
9. M. Decker, M. W. Klein, M. Wegener, and S. Linden, "Circular dichroism of planar chiral magnetic metamaterials," Opt. Lett. 32(7), 856-858 (2007).
10. S. Zhang, Y. S. Park, J. Li, X. Lu, W. Zhang, and X. Zhang, "Negative Refractive Index in Chiral Metamaterials," Phys. Rev. Lett. 102(2), 023901-23911 (2009).
11. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microw. Theory Tech. 47(11), 2075-2084 (1999).
12. N. Liu, H. Guo, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, "Three-dimensional photonic metamaterials at optical frequencies," Nat. Mater. 7(1), 31-37 (2008).
13. N. Liu, H. Liu, S. Zhu, and H. Giessen, "Stereometamaterials," Nat. Photonics 3(3), 157-162 (2009).
14. N. Liu, S. Kaiser, and H. Giessen, "Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules," Adv. Mater. 20(23), 4521-4525 (2008).
15. M. Decker, S. Linden, and M. Wegener, "Coupling effects in low-symmetry planar split-ring resonator arrays," Opt. Lett. 34(10), 1579-1581 (2009).
16. I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, "Electric and Magnetic Dipole Coupling in NearInfrared Split-Ring Metamaterial Arrays," Phys. Rev. Lett. 103(21), 213902 (2009).
17. M. C. K. Wiltshire, E. Shamonina, I. R. Young, and L. Solymar, "Dispersion characteristics of magnetoinductive waves: comparison between theory and experiment," Electron. Lett. 39(2), 215-217 (2003).
18. O. Sydoruk, O. Zhuromskyy, E. Shamonina, and L. Solymar, "Phonon-like dispersion curves of magnetoinductive waves," Appl. Phys. Lett. 87(7), 072501-72511 (2005).
19. G. Dolling, M. Wegener, A. Schädle, S. Burger, and S. Linden, "Observation of magnetization waves in negative-index photonic metamaterials," Appl. Phys. Lett. 89(23), 231118-231121 (2006).
20. M. Decker, S. Burger, S. Linden, and M. Wegener, "Magnetization waves in split-ring-resonator arrays: Evidence for retardation effects," Phys. Rev. B 80(19), 193102 (2009).
21. W. Rechberger, A. Hohenau, A. Leitner, J. R. Krenn, B. Lamprecht, and F. R. Aussenegg, "Optical Properties of two interacting gold nanoparticles," Opt. Commun. 220(1-3), 137-141 (2003).
22. K. H. Su, Q. H. Wie, X. Zhang, J. J. Mock, D. R. Smith, and S. Schultz, "Interparticle coupling effects on plasmon resonances of nanogold particles," Nano Lett. (8), 1087-1090 (2003).
23. A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, "Plasmon Coupling of Gold Nanorods at Short Distances and in Different Geometries," Nano Lett. 9(4), 1651-1658 (2009).
24. C. Dahmen, B. Schmidt, and G. von Plessen, "Radiation damping in metal nanoparticle pairs," Nano Lett. 7(2), 318-322(2007).
25. P. Oik, J. Renger, M. T. Wenzel, and L. M. Eng, "Distance dependent spectral tuning of two coupled metal nanoparticles," Nano Lett. 8(4), 1174-1178(2008).
26. F. Hesmer, E. Tatartschuk, O. Zhuromskyy, A. A. Radkovskaya, M. Shamonin, T. Hao, C. J. Stevens, G. Faulkner, D. J. Edwards, and E. Shamonina, "Coupling mechanisms for split ring resonators: Theory and experiment," Phys. Status Solidi 244(4), 1170-1175 (2007).
27. A. Arbouet, D. Christofllos, N. Del Fatti, F. Vallée, J. R. Huntzinger, L. Arnaud, P. Billaud, and M. Broyer, "Direct measurement of the single-metal-cluster optical absorption," Phys. Rev. Lett. 93(12), 127401-127411 (2004).
28. O. L. Muskens, N. Del Fatti, F. Vallée, J. R. Huntzinger, P. Billaud, and M. Broyer, "Single-metal nanoparticle absorption spectroscopy and optical characterization," Appl. Phys. Lett. 88(6), 063109-63111 (2006).
29. M. Husnik, M. W. Klein, N. Feth, M. König, J. Niegemann, K. Busch, S. Linden, and M. Wegener, "Absolute Extinction Cross Section of Individual Magnetic Split-Ring Resonators," Nat. Photonics 2(10), 614-617 (2008).
30. J. S. Hesthaven, and T. Warburton, "Nodal high-order methods on unstructured grids -1. Time-domain solution of Maxwell's equations," J. Comput. Phys. 181(1), 186-221 (2002).
31. J. Niegemann, M. König, K. Stannigel, and K. Busch, "Higher-order time-domain methods for the analysis of nano-photonic systems," Photon. Nanostruct. - Fundamentals Appl. 7(1), 2-11 (2009).
32. K. Stannigel, M. König, J. Niegemann, and K. Busch, "Discontinuous Galerkin time-domain computations of metallic nanostructures," Opt. Express 17(17), 14934-14947 (2009), http://www.opticsinfobase.org/oe/abstact.cfm?URI=oe-17-17-14934.