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Bruggeman formalism versus “Bruggeman formalism”: particulate composite materials comprising oriented ellipsoidal particles

[+] Author Affiliations
Tom G. Mackay

University of Edinburgh, School of Mathematics and Maxwell Institute for Mathematical Sciences, Edinburgh EH9 3JZ, United Kingdom

Pennsylvania State University, NanoMM—Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, University Park, Pennsylvania 16802–6812

Akhlesh Lakhtakia

Pennsylvania State University, NanoMM—Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, University Park, Pennsylvania 16802–6812

J. Nanophoton. 6(1), 069501 (Jun 18, 2012). doi:10.1117/1.JNP.6.069501
History: Received January 25, 2012; Revised March 8, 2012; Accepted March 21, 2012
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Abstract

Abstract.  Two different formalisms for the homogenization of composite materials containing oriented ellipsoidal particles of isotropic dielectric materials are being named after Bruggeman. Numerical studies reveal clear differences between the two formalisms which may be exacerbated: (i) if the component particles become more aspherical, (ii) at mid-range values of the volume fractions, and (iii) if the homogenized component material is dissipative. Only the correct Bruggeman formalism uses the correct polarizability density dyadics of the component particles in the homogenized composite material (HCM) and is directly derivable from the frequency-domain Maxwell postulates specialized for the HCM.

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© 2012 Society of Photo-Optical Instrumentation Engineers

Citation

Tom G. Mackay and Akhlesh Lakhtakia
"Bruggeman formalism versus “Bruggeman formalism”: particulate composite materials comprising oriented ellipsoidal particles", J. Nanophoton. 6(1), 069501 (Jun 18, 2012). ; http://dx.doi.org/10.1117/1.JNP.6.069501


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