Special Section on Nanophotonics in Europe

On extended homogenization formalisms for nanocomposites

[+] Author Affiliations
Tom G. Mackay

School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Edinburgh, Scotland EH9 3JZ United Kingdom

J. Nanophoton. 2(1), 021850 (August 27, 2008). doi:10.1117/1.2982931
History: Received June 10, 2008; Revised July 22, 2008; Accepted July 22, 2008; August 27, 2008; Online August 27, 2008
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Abstract

In the long-wavelength regime, the effective properties of particulate composites, including nanocomposites, may be estimated using one of various homogenization formalisms, such as the Bruggeman and Maxwell Garnett formalisms, and the approach of the strong-property-fluctuation theory (SPFT). In the conventional implementations of these formalisms, the constituent particles are treated as point-like scattering centres. However, extended formalisms have been established--which involve integral formulations--that take account of the spatial extent of the constituent particles. In particular, the extended second-order SPFT takes account of both the size of the constituent particles and their statistical distributions. We derived explicit representations of the extended second-order SPFT appropriate to isotropic chiral and uniaxial dielectric homogenized composite mediums. These results may also be employed in extended versions of the Bruggeman and Maxwell Garnett formalisms.

© 2008 Society of Photo-Optical Instrumentation Engineers

Citation

Tom G. Mackay
"On extended homogenization formalisms for nanocomposites", J. Nanophoton. 2(1), 021850 (August 27, 2008). ; http://dx.doi.org/10.1117/1.2982931


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