Maxwell-Garnett mixing rule in the presence of multiple scattering: Derivation and accuracy

Mallet, Pierre; Guérin, Charles-Antoine; Sentenac, Anne

doi:10.1103/physrevb.72.014205

Cited by 143 publications

(112 citation statements)

References 34 publications

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“…This was discussed in detail in Ref. 26. There is also a close connection with the low-frequency formula of the EFA 8 for lossless particles ͑␤ s Љ=0͒ which coincides analytically to within the O͑␤ s 2 ͒ term:…”

Section: ͑41͒mentioning

confidence: 92%

Effective-medium theory for finite-size aggregates

2006

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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

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Section: ͑41͒mentioning

confidence: 92%

Effective-medium theory for finite-size aggregates

2006

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“…The Maxwell-Garnett theory is only applicable when encountering low volume fractions of material, typically below the percolation threshold or a volume fraction below 30% (Claro & Rojas, 1991;Datta et al, 1993;Davis & Schwartz, 1985;Gibson & Buhrman, 1983;Grechko et al, 2000;Lamb et al, 1980;Li et al, 2006;Lidorikis et al, 2007;Stroud & Pan, 1978;Wang et al, 2005;Yannopapas, 2006). However, other papers have demonstrated that the Maxwell-Garnett effective medium theory will work for higher volume fractions (Fu et al, 1993;Mallet et al, 2005). The Maxwell-Garnett dielectric function is defined by the expression:…”

Section: Optical Absorption In Metallic Nanoparticle Compositesmentioning

confidence: 99%

Photonic Sintering of Silver Nanoparticles: Comparison of Experiment and Theory

West¹,

Carter²,

Smith³

et al. 2012

Sintering - Methods and Products

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“…A less drastic assumption is obtained from the Maxwell-Garnett theory (P. Hillion, 2010;Tsang & Kong, 2001;Mallet, Guerin, & Santenac, 2005) in which, the permittivity  of a composite material is…”

Section: Remarkmentioning

confidence: 99%