Condensed Matter Theory

Daniel Grieser Perturbation theory for plasmonic eigenvalues

Author(s): Daniel Grieser, Hannes Uecker, Svend-Age Biehs, Oliver Huth, Felix Rüting, Martin Holthaus

Perturbation theory for plasmonic eigenvalues

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Article: Phys. Rev. B 80, 245405 (2009), American Physical Society (APS)

Keywords: deformation, differential geometry, eigenvalues and eigenfunctions, nanostructured materials, perturbation theory, surface plasmon resonance

PACS: 78.67.-n, 73.20.Mf, 41.20.Cv

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.

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