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The strong-property-fluctuation theory (SPFT) provides a sophisticated means of estimating the effective constitutive parameters of a homogenized composite material (HCM), which takes account of the statistical distribution of the component…

Optics · Physics 2008-03-28 Jiajia Cui , Tom G. Mackay

The linear strong--property--fluctuation theory (SPFT) was developed in order to estimate the constitutive parameters of certain homogenized composite materials (HCMs) in the long--wavelength regime. The component materials of the HCM were…

Optics · Physics 2009-11-13 Andrew J. Duncan , Tom G. Mackay , Akhlesh Lakhtakia

We consider an anisotropic homogenized composite medium (HCM) arising from isotropic particulate component phases based on ellipsoidal geometries. For cubically nonlinear component phases, the corresponding zeroth-order…

Optics · Physics 2007-05-23 Tom G. Mackay

An implementation of the strong-permittivity-fluctuation theory (SPFT) is presented in order to estimate the constitutive parameters of a homogenized composite material (HCM) which is both cubically nonlinear and anisotropic. Unlike…

Optics · Physics 2007-05-23 Jiajia Cui , Tom G. Mackay

The strong-property-fluctuation theory (SPFT) provides a general framework for estimating the constitutive parameters of a homogenized composite material (HCM). We developed the elastodynamic SPFT for orthotropic HCMs, in order to undertake…

Classical Physics · Physics 2009-07-30 Andrew J. Duncan , Tom G. Mackay , Akhlesh Lakhtakia

Implementations of the Bruggeman and Maxwell Garnett homogenization formalisms were developed to estimate the relative permittivity dyadic of a homogenized composite material (HCM), namely $\underline{\underline{\epsilon}}^{\rm HCM}$,…

Optics · Physics 2025-04-07 Héctor M. Iga-Buitrón , Tom G. Mackay , Akhlesh Lakhtakia

The Bruggeman formalism for the homogenization of particulate composite materials is used to predict the effective permittivity dyadic of a two-constituent composite material with one constituent having the ability to display the Pockels…

Optics · Physics 2009-11-13 Akhlesh Lakhtakia , Tom G. Mackay

The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials…

Optics · Physics 2016-06-29 Tom G. Mackay , Akhlesh Lakhtakia

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…

Optics · Physics 2015-06-03 Tom G. Mackay , Akhlesh Lakhtakia

Two different formalisms for the homogenization of composite materials containing ellipsoidal inclusions based on Bruggeman's original formula for spherical inclusions can be found in the literature. Both approximations determine the…

Optics · Physics 2013-09-13 Daniel Schmidt , Mathias Schubert

In conventional approaches to the homogenization of random particulate composites, both the distribution and size of the component phase particles are often inadequately taken into account. Commonly, the spatial distributions are…

Optics · Physics 2009-11-10 Tom G. Mackay

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

The Bruggeman formalism provides an estimate of the effective permittivity of a composite material comprising two constituent materials, with each constituent material being composed of electrically small particles. When one of the…

Optics · Physics 2007-05-23 Tom G. Mackay

Using a powerful homogenization technique, one- and two-dimensional graphene metasurfaces are homogenized both at the fundamental frequency (FF) and second harmonic (SH). In both cases, there is excellent agreement between the predictions…

Optics · Physics 2019-05-17 Qun Ren , J. W. You , N. C. Panoiu

In our previous papers we have described efficient and reliable methods of generation of representative volume elements (RVE) perfectly suitable for analysis of composite materials via stochastic homogenization. In this paper we profit from…

Computational Engineering, Finance, and Science · Computer Science 2015-04-10 Vladimir Salnikov , Sophie Lemaitre , Daniel Choï , Philippe Karamian-Surville

Closed-form expressions were recently derived for depolarization dyadics for truncated spheres and truncated spheroids, and the formalism was extended to truncated ellipsoids. These results were exploited to develop an implementation of the…

Optics · Physics 2024-04-30 Tom G. Mackay , Akhlesh Lakhtakia

A multiscale QM/classical approach is presented, that is able to model the optical properties of complex nanostructures composed of a molecular system adsorbed on metal nanoparticles. The latter are described by a combined…

Chemical Physics · Physics 2024-10-29 Pablo Grobas Illobre , Piero Lafiosca , Luca Bonatti , Tommaso Giovannini , Chiara Cappelli

Multiple surface plasmon-polariton (SPP) waves excited at the interface of a homogeneous isotropic metal and a chiral sculptured thin film (STF) impregnated with silver nanoparticles were theoretically assessed for the…

An extended Wigner function formalism is introduced for describing the quantum dynamics of particles with internal degrees of freedom in the presence of spatially inhomogeneous fields. The approach is used for quantitative simulations of…

Quantum Physics · Physics 2014-05-09 Marcel Utz , Malcolm H Levitt , Nathan Cooper , Hendrik Ulbricht

Homogenized composite materials (HCMs) can support a singular form of optical propagation, known as Voigt wave propagation, while their component materials do not. This phenomenon was investigated for biaxial HCMs arising from…

Optics · Physics 2015-05-28 Tom G. Mackay
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