Spectral representation of the effective dielectric constant of graded composites

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dc.creatorDong, L.
dc.creatorKarttunen, Mikko
dc.creatorYu, K. W.
dc.date2005-06-17
dc.date.accessioned2026-07-07T06:37:59Z
dc.date.available2026-07-07T06:37:59Z
dc.descriptionWe generalize the Bergman-Milton spectral representation, originally derived for a two-component composite, to extract the spectral density function for the effective dielectric constant of a graded composite. This work has been motivated by a recent study of the optical absorption spectrum of a graded metallic film [Applied Physics Letters, 85, 94 (2004)] in which a broad surface-plasmon absorption band has been shown to be responsible for enhanced nonlinear optical response as well as an attractive figure of merit. It turns out that, unlike in the case of homogeneous constituent components, the characteristic function of a graded composite is a continuous function because of the continuous variation of the dielectric function within the constituent components. Analytic generalization to three dimensional graded composites is discussed, and numerical calculations of multilayered composites are given as a simple application.
dc.descriptionPhysical Review E, submitted for publications
dc.identifierhttps://arxiv.org/abs/cond-mat/0506424
dc.identifierhttp://arxiv.org/abs/cond-mat/0506424
dc.identifierPhys. Rev. E 72, 016613 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.016613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100584
dc.subjectSoft Condensed Matter
dc.subjectMaterials Science
dc.subjectComputational Physics
dc.subjectOptics
dc.titleSpectral representation of the effective dielectric constant of graded composites
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