Surface plasmon dispersion in hexagonal, honeycomb and kagome plasmonic crystals

Abstract

We present a systematic experimental study on the optical properties of plasmonic crystals (PlC) with hexagonal symmetry. We compare the dispersion and avoided crossings of surface plasmon modes around the Γ-point of Au-metal hole arrays with a hexagonal, honeycomb and kagome lattice. Symmetry arguments and group theory are used to label the six modes and understand their radiative and dispersive properties. Plasmon-plasmon interaction are accurately described by a coupled mode model, that contains effective scattering amplitudes of surface plasmons on a lattice of air holes under 60• , 120• , and 180• . We determine these rates in the experiment and find that they are dominated by the hole-density and not on the complexity of the unit-cell. Our analysis shows that the observed angle-dependent scattering can be explained by a single-hole model based on electric and magnetic dipoles.

Polarized coherent emission outside high-symmetry points of dye-coupled plasmonic lattices

“…The black lines are the theoretical Rayleigh anomalies (RAs) of the hexagonal lattice ( i.e. , diffracted modes propagating grazing to the array plane), labeled with their corresponding Miller indexes and calculated according to the grating equation: 35 k ‖d = k ‖i + G …”

“…† The large band in the infrared region (at about 1.63 eV) in Fig.1(e) is the surface plasmon resonance (SPR) band of the Au HNDA. The black lines are the theoretical Rayleigh anomalies (RAs) of the hexagonal lattice (i.e., diffracted modes propagating grazing to the array plane), labeled with their corresponding Miller indexes and calculated according to the grating equation:35…”

Mode Cooperation in a Two-Dimensional Plasmonic Distributed-Feedback Laser

“…The electromagnetic field in periodic structures is presented as a superposition of Bloch modes with frequencies belonging to an allowed band and wavenumbers from 0 to 2π/ a , where a is the system’s period. , These Bloch modes are distributed throughout the resonator. The interaction of the Bloch modes with the active medium creates positive distributed feedback. − Such plasmonic distributed-feedback (DFB) lasers have been realized in a series of experiments, where periodic plasmonic structures, such as metallic films perforated by holes − ,, or two-dimensional arrays of plasmonic nanoparticles, ,− ,,− play the role of the resonator.…”

“…The interaction of the Bloch modes with the active medium creates positive distributed feedback. 16−28 Such plasmonic distributed-feedback (DFB) lasers have been realized in a series of experiments, where periodic plasmonic structures, such as metallic films perforated by holes [17][18][19][20][21]29,30 or two-dimensional arrays of plasmonic nanoparticles, 16,23−26,28,31−34 play the role of the resonator.…”

Diffractive dipolar coupling in non-Bravais plasmonic lattices

“…Inspired by the recent development in material science and the ground-breaking discovery of a new class of two-dimensional non-Bravais materials, non-Bravais plasmonic lattices started receiving attention. 31,[44][45][46][47][48] Even though the equations governing atomic and optical lattices are different, analogies can be drawn based on translation invariance and Bloch theorem. The attractive physical properties of graphene and transition metal dichalcogenides trace back to their crystalline honeycomb structure and the presence of nonequivalent K points in the reciprocal space.…”