Perturbation theory for plasmonic eigenvalues

Abstract

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system for the potential which determines the plasmonic eigenvalues into an inhomogeneous system for the potential's derivative with respect to the deformation strength, and on the exploitation of the corresponding compatibility condition. The resulting general expression for the first-order shift is verified for two explicitly solvable cases, and for a realistic example of a deformed nanosphere. It can be used for scanning the huge parameter space of possible shape fluctuations with only quite small computational effort.

References in corpus (1)

• Surface plasmon resonances of an arbitrarily shaped nanoparticle: High frequency asymptotics via pseudo-differential operators

Cited by in corpus (5)

• The plasmonic eigenvalue problem
• Resonances On-Demand for Plasmonic Nano-Particles
• Shape effects on localized surface plasmon resonances in metallic nanoparticles
• The Calderón Projector for Fibred Cusp Operators
• Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime