Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System
Youjun Deng, Hongjie Li, Hongyu Liu
Abstract
This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann--Poincaré operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann--Poincaré operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.
Topics & Concepts
Elasticity (physics)PolaritonDisplacement fieldOperator (biology)Linear elasticityResonance (particle physics)Mathematical analysisField (mathematics)MathematicsNeumann boundary conditionBoundary value problemPhysicsOpticsFinite element methodQuantum mechanicsChemistryPure mathematicsThermodynamicsTranscription factorGeneRepressorBiochemistryPhotonic Crystals and ApplicationsPlasmonic and Surface Plasmon ResearchNear-Field Optical Microscopy