Title
Field expansions for Systems of Strongly Coupled Plasmonic Nanoparticles
Abstract
This paper is concerned with efficient representations and approximations of the solution to the scattering problem by a system of strongly coupled plasmonic particles. Three schemes are developed: the first is the resonant expansion which uses the resonant modes of the system of particles computed by a conformal transformation, the second is the hybridized resonant expansion which uses linear combinations of the resonant modes for each of the particles in the system as a basis to represent the solution, and the last one is the multipole expansion with respect to the origin. By considering a system formed by two plasmonic particles of circular shape, we demonstrate the relations between these expansion schemes and their advantages and disadvantages both analytically and numerically. In particular, we emphasize the efficiency of the resonant expansion scheme in approximating the near field of the system of particles. The difference between these plasmonic particle systems and the nonresonant dielectric particle system is also highlighted. The paper provides a guidance on the challenges for numerical simulations of strongly coupled plasmonic systems.
Year
DOI
Venue
2018
10.1137/17M1149237
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
plasmonic resonance,strongly coupled nanoparticles,hybridization,Neumann-Poincare operator
Linear combination,Multipole expansion,Particle system,Computational physics,Plasmonic nanoparticles,Mathematical analysis,Near and far field,Conformal map,Scattering,Mathematics,Plasmon
Journal
Volume
Issue
ISSN
56
4
0036-1429
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Habib Ammari1821104.69
Matias Ruiz211.41
Sanghyeon Yu3225.81
Hai Zhang4276.45