Negative Group Velocity from Quadrupole Resonance of Plasmonic Spheres

Abstract

We study the dispersions of plasmonic bands that arise from the coupling of electric quadrupole resonances in three dimensional photonic crystals (PCs) consisting of plasmonic spheres. Through analytical derivation, we show that two branches of quadrupole bands in simple cubic PCs with a small lattice constant possess negative group velocities. Distinct from double negative media in which the negative responses originates from the coupling of electric and magnetic responses (P and M), the negative dispersion induced by quadrupole resonance is an intrinsic property of quadrupole that does not require coupling to another degree of freedom. In addition, there is no simple effective medium description. In plasmonic systems composed of metallic nanoparticle clusters, the coupled quadrupole resonance may be tuned to lower optical frequencies, and the coupling strength between this quadrupole resonance and external electromagnetic (EM) waves are in the same order of the magnetic dipole M.

21 pages, 4 figures

References in corpus (4)

• Dynamical Theory of Artificial Optical Magnetism Produced by Rings of Plasmonic Nanoparticles
• Three-Dimensional Nanotransmission Lines at Optical Frequencies: A Recipe for Broadband Negative-Refraction Optical Metamaterials
• Collective plasmonic modes of metal nano-particles in two-dimensional periodic regular arrays
• Analytical study of the plasmonic modes of metal nanoparticle circular array

Cited by in corpus (5)

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• Small mode volume topological photonic states in one-dimensional lattices with dipole--quadrupole interactions
• Modal Analysis for a Waveguide of Nanorods Using the Field Computation for a Chain of Finite Length