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Optics Letters

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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 13 — Jul. 1, 2014
  • pp: 3935–3938

Direct demonstration of the concept of unrestricted effective-medium approximation

Michael I. Mishchenko, Zhanna M. Dlugach, and Nadezhda T. Zakharova  »View Author Affiliations


Optics Letters, Vol. 39, Issue 13, pp. 3935-3938 (2014)
http://dx.doi.org/10.1364/OL.39.003935


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Abstract

The modified unrestricted effective-medium refractive index is defined as one that yields accurate values of a representative set of far-field scattering characteristics (including the scattering matrix) for an object made of randomly heterogeneous materials. We validate the concept of the modified unrestricted effective-medium refractive index by comparing numerically exact superposition T -matrix results for a spherical host randomly filled with a large number of identical small inclusions and Lorenz–Mie results for a homogeneous spherical counterpart. A remarkable quantitative agreement between the superposition T -matrix and Lorenz–Mie scattering matrices over the entire range of scattering angles demonstrates unequivocally that the modified unrestricted effective-medium refractive index is a sound (albeit still phenomenological) concept provided that the size parameter of the inclusions is sufficiently small and their number is sufficiently large. Furthermore, it appears that in cases when the concept of the modified unrestricted effective-medium refractive index works, its actual value is close to that predicted by the Maxwell-Garnett mixing rule.

© 2014 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: April 30, 2014
Manuscript Accepted: May 30, 2014
Published: June 26, 2014

Citation
Michael I. Mishchenko, Zhanna M. Dlugach, and Nadezhda T. Zakharova, "Direct demonstration of the concept of unrestricted effective-medium approximation," Opt. Lett. 39, 3935-3938 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-13-3935


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