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Voigt wave propagation was investigated in a homogenized composite material (HCM) arising from a porous electro--optic host material infiltrated by a fluid of refractive index $n_a$. The constitutive parameters of the HCM were estimated…

Optics · Physics 2015-06-22 Tom G. Mackay

Voigt wave propagation (VWP) was considered in a porous biaxial dielectric material which was infiltrated with a material of refractive index $n_a$. The infiltrated material was regarded as a homogenized composite material in the…

Optics · Physics 2014-04-21 Tom G. Mackay

Under certain circumstances, Voigt waves can propagate in a biaxial composite medium even though the component material phases individually do not support Voigt wave propagation. This phenomenon is considered within the context of the…

Optics · Physics 2009-11-10 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

A composite material comprising randomly distributed spherical particles of two different isotropic dielectric-magnetic materials is homogenized using the second-order strong-property-fluctuation theory in the long-wavelength approximation.…

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

Under certain circumstances, the group velocity in a homogenized composite medium (HCM) can exceed the group velocity in its component material phases. We explore this phenomenon for a uniaxial dielectric HCM comprising isotropic component…

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

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

If a dissipative anisotropic dielectric material, characterized by the permittivity matrix $\underline{\underline{\epsilon}}$, supports Voigt-wave propagation, then so too does the analogous active material characterized by the permittivity…

Optics · Physics 2017-07-06 Tom G. Mackay , Akhlesh Lakhtakia

In conventional approaches to the homogenization of random particulate composites, the component phase particles are often treated mathematically as vanishingly small, point-like entities. The electromagnetic responses of these component…

Optics · Physics 2015-06-26 Jiajia Cui , Tom G. Mackay

Small amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis relies on the use of complex vectors (or…

Soft Condensed Matter · Physics 2013-05-29 Michel Destrade , Michael Hayes

A homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state of arbitrary finite static…

Soft Condensed Matter · Physics 2013-04-09 Michel Destrade , Michael Hayes

The propagation of small-amplitude inhomogeneous plane waves in an isotropic homogeneous incompressible Mooney--Rivlin material is considered when the material is maintained in a state of finite static homogeneous deformation. Disturbances…

Soft Condensed Matter · Physics 2013-05-02 Michel Destrade

We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation…

Mathematical Physics · Physics 2024-03-12 Jean-Luc Akian , Éric Savin

The propagation of Dyakonov surface waves guided by the planar interface of (i) an isotropic dielectric material and (ii) a homogenized uniaxial dielectric composite material comprising both passive and active component materials was…

Optics · Physics 2018-09-25 Tom G. Mackay , Akhlesh Lakhtakia

We report on a strategy for achieving negative phase velocity (NPV) in a homogenized composite medium (HCM) conceptualized using the Bruggeman formalism. The constituent material phases of the HCM do not support NPV propagation. The HCM and…

Optics · Physics 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia

We consider the propagation of gravitational waves in the late time Universe with the presence of structure. Before detection, gravitational waves emitted from distant sources have to traverse through regions of spacetime which are far from…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Shashank S. Pandey , Arnab Sarkar , Amna Ali , A. S. Majumdar

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

Inhomogeneous small-amplitude plane waves of (complex) frequency $\omega$ are propagated through a linear dissipative material which displays hereditary viscoelasticity. The energy density, energy flux and dissipation are quadratic in the…

Classical Physics · Physics 2020-04-28 N. H. Scott

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

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