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

Extinction cross-section spectra of split-ring-resonator dimers have been measured at near-infrared frequencies with a sensitive spatial modulation technique. The resonance frequency of the dimer's coupled mode as well as its extinction cross-section and its quality factor depend on the relative orientation and separation of the two split-ring resonators. The findings can be interpreted in terms of electric and magnetic dipole-dipole interaction. Numerical calculations based on a Discontinuous Galerkin Time-Domain approach are in good agreement with the experiments and support our physical interpretation.

[1]  M. Wegener,et al.  Absolute extinction cross section of individual magnetic split-ring resonators , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[2]  M. Wegener,et al.  Magnetic Response of Metamaterials at 100 Terahertz , 2004, Science.

[3]  V. Shalaev Optical negative-index metamaterials , 2007 .

[4]  Harald Giessen,et al.  Magnetoinductive and Electroinductive Coupling in Plasmonic Metamaterial Molecules , 2008 .

[5]  I. Young,et al.  Dispersion characteristics of magneto-inductive waves: comparison between theory and experiment , 2003 .

[6]  Xiang Zhang,et al.  Negative refractive index in chiral metamaterials. , 2009, Physical review letters.

[7]  U. Leonhardt Optical Conformal Mapping , 2006, Science.

[8]  Magnetization waves in split-ring-resonator arrays: Evidence for retardation effects , 2009 .

[9]  L. Solymar,et al.  Phonon-like dispersion curves of magnetoinductive waves , 2005 .

[10]  David J. Edwards,et al.  Coupling mechanisms for split ring resonators: Theory and experiment , 2007 .

[11]  Paul Mulvaney,et al.  Plasmon coupling of gold nanorods at short distances and in different geometries. , 2009, Nano letters.

[12]  Shuang Zhang,et al.  Midinfrared resonant magnetic nanostructures exhibiting a negative permeability. , 2005, Physical review letters.

[13]  G. von Plessen,et al.  Radiation damping in metal nanoparticle pairs. , 2007, Nano letters.

[14]  Stefan Linden,et al.  Observation of magnetization waves in negative-index photonic metamaterials , 2006 .

[15]  J. Hesthaven,et al.  Nodal high-order methods on unstructured grids , 2002 .

[16]  Kurt Busch,et al.  Higher-order time-domain methods for the analysis of nano-photonic systems , 2009 .

[17]  H. Giessen,et al.  Three-dimensional metamaterials at optical frequencies , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[18]  O. Muskens,et al.  Single metal nanoparticle absorption spectroscopy and optical characterization , 2006 .

[19]  Kurt Busch,et al.  Discontinuous Galerkin time-domain computations of metallic nanostructures. , 2009, Optics express.

[20]  Harald Giessen,et al.  Three-dimensional photonic metamaterials at optical frequencies. , 2008, Nature materials.

[21]  N I Zheludev,et al.  Giant gyrotropy due to electromagnetic-field coupling in a bilayered chiral structure. , 2006, Physical review letters.

[22]  M. Wegener,et al.  Circular dichroism of planar chiral magnetic metamaterials. , 2007, Optics letters.

[23]  Jan Renger,et al.  Distance dependent spectral tuning of two coupled metal nanoparticles. , 2008, Nano letters.

[24]  Bernhard Lamprecht,et al.  Optical properties of two interacting gold nanoparticles , 2003 .

[25]  David R. Smith,et al.  Interparticle Coupling Effects on Plasmon Resonances of Nanogold Particles , 2003 .

[26]  Shan Zhao,et al.  DSC time-domain solution of Maxwell's equations , 2003 .

[27]  M. Broyer,et al.  Direct measurement of the single-metal-cluster optical absorption. , 2004, Physical review letters.

[28]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[29]  Stefan Linden,et al.  Coupling effects in low-symmetry planar split-ring resonator arrays. , 2009, Optics letters.

[30]  Ewold Verhagen,et al.  Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays. , 2009, Physical review letters.

[31]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[32]  F Schmidt,et al.  Magnetic metamaterials at telecommunication and visible frequencies. , 2005, Physical review letters.

[33]  M. Wegener,et al.  Negative Refractive Index at Optical Wavelengths , 2007, Science.