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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 interpretations of the Bruggeman approach for the homogenization of isotropic chiral mixtures are shown to lead to different results. Whereas the standard interpretation is shown to yield the average-polarizability-density approach, a…

Optics · Physics 2019-06-05 Benjamin M. Ross , 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

A medium which is an isotropic chiral medium from the perspective of a co-moving observer is a Faraday chiral medium (FCM) from the perspective of a non-co-moving observer. The Tellegen constitutive relations for this FCM are established.…

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

Two active dielectric materials may be blended together to realize a homogenized composite material (HCM) which exhibits more gain than either component material. Likewise, two dissipative dielectric materials may be blended together to…

Optics · Physics 2017-07-06 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 this work, we investigate the bi-isotropic effects in the formation and tunability of hybrid surface polaritons in bilayer configurations. We consider a heterostructure composed of a medium with bi-isotropic constitutive relations and an…

Other Condensed Matter · Physics 2025-10-31 A. Nonato , Pedro D. S. Silva

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 propagation of plane waves in an isotropic chiral medium (ICM) is investigated. Simple conditions are derived--in terms of the constitutive parameters of the ICM--for the phase velocity to be directed opposite to the direction of power…

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

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

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

Anisotropic homogeneous metamaterials that are neither wholly dissipative nor wholly active at a specific frequency are permitted by classical electromagnetic theory. Well-established homogenization formalisms indicate that such a…

Optics · Physics 2015-12-22 Tom G. Mackay , Akhlesh Lakhtakia

We considered the experimental realization of a Tamm medium that is optically equivalent to the collision of two linearly polarized gravitational plane waves as a piecewise homogeneous metamaterial. Our formulation was based on the…

Optics · Physics 2015-06-22 Tom G. Mackay , Akhlesh Lakhtakia

Investigating the canonical problem of a periodic multilayered stack containing isotropic chiral layers, we homogenized it as a uniaxial bianisotropic medium and derived its effective constitutive parameters. The stack shows a resonant…

Optics · Physics 2009-05-08 S. Anantha Ramakrishna , 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

We propose a planar composite chiral metamaterial (CCMM) by symmetrically inserting a metallic mesh between two layers of conjugated gammadion resonators. As the elaborate CCMM operates in the frequency region of off-resonance, it therefore…

Optics · Physics 2015-11-24 Kun Song , Changlin Ding , Yahong Liu , Chunrong Luo , Xiaopeng Zhao

Within the framework of quantum electrodynamics (QED), vacuum is a nonlinear medium which can be linearized for a rapidly time-varying electromagnetic field with a small amplitude subjected to a magnetostatic field. The linearized QED…

Optics · Physics 2016-04-27 Tom G. Mackay , Akhlesh Lakhtakia

A dielectric columnar thin film (CTF), characterized macroscopically by a relative permittivity dyadic, was investigated theoretically with the assumption that, on the nanoscale, it is an assembly of parallel, identical, elongated…

Optics · Physics 2015-05-14 Tom G. Mackay , Akhlesh Lakhtakia

We extend an efficient homogenization procedure based on a Haydock representation of the microscopic wave operator for the calculation of the macroscopic dielectric response of a periodic composite to the case of an arbitrary number of…

Optics · Physics 2023-09-22 W. Luis Mochán , Guillermo P. Ortiz

It has been found that in the media where the dielectric permittivity $\epsilon$ or the magnetic permeability $\mu$ is near zero and in transition metamaterials where $\epsilon$ or $\mu$ changes from positive to negative values, there occur…

Optics · Physics 2016-04-20 Seulong Kim , Kihong Kim
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