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Title: Plasmonic Surface Lattice Resonances: Theory and Computation

Journal Article · · Accounts of Chemical Research

In overview, plasmonic surface lattice resonances (Plasmonic SLRs) are mixed light-matter states emergent in a system of periodically arranged metallic nanoparticles (NPs) under the constraint that the array spacing is approximately equal to an integer multiple of the wavelength of optical frequency light divided by the index of refraction of the surrounding medium. The properties of SLRs derive from two separate physical effects; the electromagnetic (plasmonic) response of metal NPs, and the electromagnetic states (photonic cavity modes) associated with the array of NPs. Metal NPs, especially free electron metals such as silver, gold, aluminum and alkali metals, support optical-frequency electron density oscillations known as localized surface plasmons (LSPs). The high density of conduction-band electrons for these metals gives rise to plasmon excitations that strongly couple to light even for particles that are several orders of magnitude smaller than the wavelength of the excitation source. In this sense, LSPs have the remarkable ability to squeeze far-field light into intensely-localized near-electric-fields that can enhance the intensity of light by factors of ~ 103 or more. Moreover, due to advances in the synthesis and fabrication of NPs, the intrinsic dependence of LSPs on NP geometry, composition, and size can readily be exploited to design NPs with a wide range of optical properties. One drawback in using LSPs to enhance optical, electronic, or chemical processes is the losses introduced into the system by via dephasing and Ohmic damping - an effect which must either be tolerated or mitigated. Plasmonic SLRs enable the mitigation of loss effects through the coupling of LSPs to diffractive states that arise from arrays satisfying Bragg scattering conditions, also known as Rayleigh anomalies (RAs). Bragg modes are well known for arrays of dielectric NPs, where they funnel and trap incoming light into the plane of the lattice, defining a photonic cavity. The low losses and narrow linewidths associated with dielectric NPs produce Bragg modes that oscillate for ~ 103 - 104 cycles before decaying. These modes are of great interest to the meta-materials community but have relatively weak electric fields associated with dielectric NPs, and therefore are not used for applications where local field enhancements are needed. Plasmonic lattices, i.e., photonic crystals composed of metallic NPs, combine the characteristics from both LSPs and diffractive states, enabling both enhanced local fields and narrow linewidth excitations, in many respects providing the best advantages of both materials. Thus, by controlling the periodicity and global symmetry of the lattice, in addition to the material composition and shape of the constituent NPs, SLRs can be designed to simultaneously survive for up to 103 cycles while maintaining the electric field enhancements near the NP surface that have made the use of LSPs ubiquitous in nanoscience. Modern fabrication methods allow for cm2-scale patches of two-dimensional (2D) arrays that are composed of approximately one trillion NPs, making them effectively infinite at the nanoscale. Because of these advances, it is now possible to experimentally realize SLRs with properties that approach those predicted by idealized theoretical models. In this Account, we introduce the fundamental theory of both SLRs and SLR-mediated lasing, where the latter is one of the most important applications of plasmonic SLRs that has emerged to date. The focus of this article is on theoretical concepts for describing plasmonic SLRs and computational methods used for their study, but throughout we emphasize physical insights provided by the theory that aid in making applications.

Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division; National Science Federation (NSF)
Grant/Contract Number:
SC0004752; DMR-1608258
OSTI ID:
1594602
Journal Information:
Accounts of Chemical Research, Vol. 52, Issue 9; ISSN 0001-4842
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 72 works
Citation information provided by
Web of Science

References (52)

Electric Field Effect in Atomically Thin Carbon Films journal October 2004
The Optical Properties of Metal Nanoparticles:  The Influence of Size, Shape, and Dielectric Environment journal January 2003
Scattering and Absorption of Light by Nonspherical Dielectric Grains journal December 1973
Tunable subradiant lattice plasmons by out-of-plane dipolar interactions journal May 2011
Silver nanoparticle array structures that produce remarkably narrow plasmon lineshapes journal June 2004
Narrow plasmonic/photonic extinction and scattering line shapes for one and two dimensional silver nanoparticle arrays journal January 2004
Millimeter-Scale Spatial Coherence from a Plasmon Laser journal October 2017
Programmable and reversible plasmon mode engineering journal November 2016
Geometry dependence of surface lattice resonances in plasmonic nanoparticle arrays journal April 2017
Lasing action in strongly coupled plasmonic nanocavity arrays journal June 2013
Enhanced fields on rough surfaces: dipolar interactions among particles of sizes exceeding the Rayleigh limit journal January 1985
Resonances of two-dimensional particle gratings in surface-enhanced Raman scattering journal January 1986
The role of surface roughness in surface enhanced raman spectroscopy (SERS): the importance of multiple plasmon resonances journal September 1981
Coupled-dipole Approach to Scattering of Light from a One-dimensional Periodic Dipole Structure journal November 1993
The Extinction Spectra of Silver Nanoparticle Arrays:  Influence of Array Structure on Plasmon Resonance Wavelength and Width journal July 2003
Extremely Narrow Plasmon Resonances Based on Diffraction Coupling of Localized Plasmons in Arrays of Metallic Nanoparticles journal August 2008
Collective Resonances in Gold Nanoparticle Arrays journal September 2008
Optical Constants of the Noble Metals journal December 1972
Lattice Sums for the Helmholtz Equation journal January 2010
Ewald method for 3D periodic dyadic Green's functions and complex modes in composite materials made of spherical particles under the dual dipole approximation: EWALD AND DUAL DIPOLE APPROXIMATION journal September 2012
Finite-size effects on periodic arrays of nanostructures journal December 2018
Surface Lattice Resonances in Plasmonic Arrays of Asymmetric Disc Dimers journal March 2016
Diffraction Enhanced Transparency and Slow THz Light in Periodic Arrays of Detuned and Displaced Dipoles journal July 2016
Hybridization of Lattice Resonances journal January 2018
Hierarchical Hybridization in Plasmonic Honeycomb Lattices journal August 2019
Efficient Computation of Casimir Interactions between Arbitrary 3D Objects journal July 2009
Guided propagation along quadrupolar chains of plasmonic nanoparticles journal June 2009
Collective resonances in metal nanoparticle arrays with dipole-quadrupole interactions journal June 2012
Stretchable Nanolasing from Hybrid Quadrupole Plasmons journal June 2018
Lasing in dark and bright modes of a finite-sized plasmonic lattice journal January 2017
Advances in small lasers journal November 2014
Applications of nanolasers journal December 2018
Structural Engineering in Plasmon Nanolasers journal October 2017
Band-edge engineering for controlled multi-modal nanolasing in plasmonic superlattices journal July 2017
Model for describing plasmon-enhanced lasers that combines rate equations with finite-difference time-domain journal January 2013
Lasing action in periodic arrays of nanoparticles journal January 2015
Finite-difference time-domain model of lasing action in a four-level two-electron atomic system journal January 2004
Real-time tunable lasing from plasmonic nanocavity arrays journal April 2015
Polarization-Dependent Lasing Behavior from Low-Symmetry Nanocavity Arrays journal April 2019
Superlattice Plasmons in Hierarchical Au Nanoparticle Arrays journal November 2015
Model for describing plasmonic nanolasers using Maxwell-Liouville equations with finite-difference time-domain calculations journal November 2017
The existence of topological edge states in honeycomb plasmonic lattices journal October 2016
Topological plasmons in dimerized chains of nanoparticles: robustness against long-range quasistatic interactions and retardation effects journal October 2018
Topological Plasmonic Chain with Retardation and Radiative Effects journal April 2018
Lasing at K Points of a Honeycomb Plasmonic Lattice journal January 2019
Controlling quantum dot emission by plasmonic nanoarrays journal January 2015
Deterministic Coupling of Quantum Emitters in 2D Materials to Plasmonic Nanocavity Arrays journal March 2017
Surface lattice resonances strongly coupled to Rhodamine 6G excitons: tuning the plasmon-exciton-polariton mass and composition journal January 2013
Plasmonic Surface Lattice Resonances at the Strong Coupling Regime journal December 2013
Strong Exciton–Plasmon Coupling in MoS 2 Coupled with Plasmonic Lattice journal January 2016
Thermalization and Cooling of Plasmon-Exciton Polaritons: Towards Quantum Condensation journal October 2013
Bose–Einstein condensation in a plasmonic lattice journal April 2018

Cited By (3)

Mechanotunable Plasmonic Properties of Colloidal Assemblies journal December 2019
Improving the performance of light-emitting diodes via plasmonic-based strategies journal January 2020
Mechanotunable Plasmonic Properties of Colloidal Assemblies text January 2019

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