Effective-medium theory for finite-size aggregates - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2006

Effective-medium theory for finite-size aggregates

Charles-Antoine Guérin
Pierre Mallet
  • Fonction : Auteur
Anne Sentenac
  • Fonction : Auteur

Résumé

We propose an effective-medium theory for random aggregates of small spherical particles that accounts for the finite size of the embedding volume. The technique is based on the identification of the first two orders of the Born series within a finite volume for the coherent field and the effective field. Although the convergence of the Born series requires a finite volume, the effective constants that are derived through this identification are shown to admit of a large-scale limit. With this approach we recover successively, and in a simple manner, some classical homogenization formulas: the Maxwell Garnett mixing rule, the effective-field approximation, and a finite-size correction to the quasi-crystalline approximation (QCA). The last formula is shown to coincide with the usual low-frequency QCA in the limit of large volumes, while bringing substantial improvements when the dimension of the embedding medium is of the order of the probing wavelength. An application to composite spheres is discussed.
Fichier principal
Vignette du fichier
Aggregates.pdf (202.78 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00080460 , version 1 (10-07-2016)

Licence

Paternité

Identifiants

Citer

Charles-Antoine Guérin, Pierre Mallet, Anne Sentenac. Effective-medium theory for finite-size aggregates. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2006, 23 (2), pp.349-358. ⟨10.1364/JOSAA.23.000349⟩. ⟨hal-00080460⟩
75 Consultations
271 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More