Lewin's homogenization formula revisited for nanocomposite materials

Mackay, Tom G.

doi:10.1117/1.3028260

Cited by 22 publications

(10 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Suppose that we have a mixture of two isotropic dielectric materials, specified by the relative permittivity scalars ǫ 1 and ǫ 2 . Provided that the length scale of nonhomogeneities in the mixture is small compared with electromagnetic wavelengths in both component materials [1], the mixture can be treated as a homogenized composite material (HCM). The familiar formalisms named in honour of Maxwell Garnett [2,3,4] and Bruggeman [5,6] provide a means of estimating the relative permittivity of the HCM.…”

Section: Introductionmentioning

confidence: 99%

On the application of homogenization formalisms to active dielectric composite materials

Mackay

Lakhtakia

2009

Optics Communications

Self Cite

View full text Add to dashboard Cite

The Maxwell Garnett and Bruggeman formalisms were applied to estimate the effective permittivity dyadic of active dielectric composite materials. The active nature of the homogenized composite materials (HCMs) arises from one of the component materials which takes the form of InAs/GaAs quantum dots. Provided that the real parts of the permittivities of the component materials have the same sign, the Maxwell Garnett and Bruggeman formalisms give physically plausible estimates of the HCM permittivity dyadic that are in close agreement. However, if the real parts of the permittivities of the component materials have different signs then there are substantial differences between the Bruggeman and Maxwell Garnett estimates. Furthermore, these differences becomes enormous -with the Bruggeman estimate being physically implausible -as the imaginary parts of the permittivities of the component materials tend to zero. 3 These formalisms are readily extended to estimate the relative permittivity of HCMs arising from a mixture of three or more component materials [7].

show abstract

Section: Introductionmentioning

confidence: 99%

On the application of homogenization formalisms to active dielectric composite materials

Mackay

Lakhtakia

2009

Optics Communications

Self Cite

View full text Add to dashboard Cite

show abstract

“…Please note that the ENZ region exhibited by the effective medium is quite far from the resonance. This is a non-trivial observation, since the model validity around the resonance is doubtful [27] and, moreover, this also ensures a minimum of the imaginary part of the mixture effective permittivity.…”

Section: Volumetric Homogenizationmentioning

confidence: 90%

“…According to the Maxwell-Garnett homogenization [24], for a non-dense array [27], the homogenized permittivity εeff is given by:…”

Section: Volumetric Homogenizationmentioning

confidence: 99%

Optical Scattering Cancellation through Arrays of Plasmonic Nanoparticles: A Review

et al. 2015

View full text Add to dashboard Cite

In this contribution, we review and discuss our recent results on the design of optical scattering cancellation devices based on an array of plasmonic nanoparticles. Starting from two different analytical models available to describe its electromagnetic behavior, we show that a properly designed array of plasmonic nanoparticles behaves both as an epsilon-near-zero metamaterial and as a reactive metasurface and, therefore, can be successfully used to reduce the optical scattering of a subwavelength object. Three different typologies of nanoparticle arrays are analyzed: spherical, core-shell, and ellipsoidal nanoparticles. We prove, both theoretically and through full-wave simulations, that such nanostructures can be successfully used as a cloaking device at ultraviolet and optical frequencies.

show abstract

“…These materials are generally (optically) isotropic [13]. Composite materials comprising electrically small [14,15] chiral inclusions were first reported in 1898 [16], and these materials can be either isotropic [17,18,19] or anisotropic [20]. The first type of chiral materials can be considered as either homogeneous or nonhomogeneous continuums at sufficiently low frequencies.…”

Section: Introductionmentioning

confidence: 99%

Theory of Dyakonov–Tamm waves at the planar interface of a sculptured nematic thin film and an isotropic dielectric material

Agarwal

Polo

Lakhtakia

2009

J. Opt. A: Pure Appl. Opt.

View full text Add to dashboard Cite

In order to ascertain conditions for surface-wave propagation guided by the planar interface of an isotropic dielectric material and a sculptured nematic thin film (SNTF) with periodic nonhomogeneity, we formulated a boundary-value problem, obtained a dispersion equation therefrom, and numerically solved it. The surface waves obtained are Dyakonov-Tamm waves. The angular domain formed by the directions of propagation of the Dyakonov-Tamm waves can be very wide (even as wide as to allow propagation in every direction in the interface plane), because of the periodic nonhomogeneity of the SNTF. A search for Dyakonov-Tamm waves is, at the present time, the most promising route to take for experimental verification of surface-wave propagation guided by the interface of two dielectric materials, at least one of which is anisotropic. That would also assist in realizing the potential of such surface waves for optical sensing of various types of analytes infiltrating one or both of the two dielectric materials.

show abstract

Lewin's homogenization formula revisited for nanocomposite materials

Cited by 22 publications

References 14 publications

On the application of homogenization formalisms to active dielectric composite materials

On the application of homogenization formalisms to active dielectric composite materials

Optical Scattering Cancellation through Arrays of Plasmonic Nanoparticles: A Review

Theory of Dyakonov–Tamm waves at the planar interface of a sculptured nematic thin film and an isotropic dielectric material

Contact Info

Product

Resources

About