Introduction to the Maxwell Garnett approximation: tutorial

Markel, Vadim A.

doi:10.1364/josaa.33.001244

Cited by 646 publications

(412 citation statements)

References 26 publications

Supporting

Mentioning

403

Contrasting

Unclassified

Order By: Relevance

“…The choice of the Bruggeman approach is justified by the fact that it is generally considered as giving more reliable results if filling factors are not very small which is the case for the presented samples [25].…”

Section: Effective Medium Theory Modelmentioning

confidence: 99%

Ultraviolet to far-infrared transmission properties of thin film multi-walled carbon nanotube random networks

et al. 2016

View full text Add to dashboard Cite

Thin films of multi-walled carbon nanotubes forming random networks were produced by vacuum filtration method, and their broadband electromagnetic radiation transmittance spectra are presented. Thickness of the nanotube films was between 100 nm and 1 lm, and the transmission properties are demonstrated for the wavelength range from 300 nm to 400 lm. It is observed that transmittance is an increasing function of a radiation wavelength, and for the thickest films it almost saturates above 1 lm wavelength. To explain the experimental results in the ultraviolet-near infrared range, we employed effective medium theory (in the form of symmetric Bruggeman model) correlating properties of multi-walled carbon nanotubes with the effective dielectric function of a nanotube network. The optical properties of a single multi-walled carbon nanotube that were used for calculations were based on ordinary and extraordinary dielectric functions of bulk graphite. The proposed theoretical model has been successfully fitted to the experimental results. It has been also found that despite the fact that radiation undergoes multiple internal reflections at the film interfaces, the transmittance-thickness relation can be still described by exponential decay.

show abstract

Section: Effective Medium Theory Modelmentioning

confidence: 99%

Ultraviolet to far-infrared transmission properties of thin film multi-walled carbon nanotube random networks

et al. 2016

View full text Add to dashboard Cite

show abstract

“…The well-known Maxwell-Garnett model [23,24] provides a useful validation for our predictions from the extended Bobbert-Vlieger model. The Maxwell-Garnett approach is based on effective medium approximation (EMA), assuming a layer of one material with inclusions of another material.…”

Section: Validation Of the Modelmentioning

confidence: 82%

“…We then compare our theoretical predictions for an isolated nanoparticle fully covered by a shell with those of the conventional Maxwell-Garnett scattering theory [23,24]. Finally, we apply our model to predict the ellipsometry spectra (i.e., Ψ and Δ) for Fibronectin (protein) molecules attached to gold nanoparticles and compare them with corresponding experimental data.…”

Section: Introductionmentioning

confidence: 98%

Adapting Bobbert-Vlieger model to spectroscopic ellipsometry of gold nanoparticles with bio-organic shells

Viegas

Fernandes

Queirós

et al. 2017

Biomed. Opt. Express

View full text Add to dashboard Cite

Abstract:We investigate spectroscopic imaging ellipsometry for monitoring biomolecules at surfaces of nanoparticles. For the modeling of polarimetric light scattering off surfaceadsorbed core-shell nanoparticles, we employ an extension of the exact solution for the scattering by particles near a substrate presented by Bobbert and Vlieger, which offers insight beyond that of the Maxwell-Garnett effective medium approximation. Varying thickness and refractive index of a model bio-organic shell results in systematic and characteristic changes in spectroscopic parameters Ψ and Δ . The salient features and trends in modeled spectra are in qualitative agreement with experimental data for antibody immobilization and fibronectin biorecognition at surfaces of gold nanoparticles on a silicon substrate, but achieving a full quantitative agreement will require including additional effects, such as nanoparticle-substrate interactions, into the model.

show abstract

“…The effective permittivity of the nanocomposite is determined using the Maxwell Garnett formula [48,49] widely used in studying matrix media, in which isolated metallic inclusions with a small volume fraction are dispersed in the matrix material…”

Section: Model Description and Determining The Transmittancementioning

confidence: 99%

Two Types of Localized States in a Photonic Crystal Bounded by an Epsilon near Zero Nanocomposite

2018

View full text Add to dashboard Cite

Abstract:The spectral properties of a one-dimensional photonic crystal bounded by a resonant absorbing nanocomposite layer with the near-zero permittivity have been studied. The problem of calculating the transmittance, reflectance, and absorptance spectra of such structures at the normal and oblique incidence of light has been solved. It is shown that, depending on the permittivity sign near zero, the nanocomposite is characterized by either metallic or dielectric properties. The possibility of simultaneous formation of the Tamm plasmon polariton at the photonic crystal/metallic nanocomposite interface and the localized state similar to the defect mode with the field intensity maximum inside the dielectric nanocomposite layer is demonstrated. Specific features of field localization at the Tamm plasmon polariton and defect mode frequencies are analyzed.

show abstract

Introduction to the Maxwell Garnett approximation: tutorial

Cited by 646 publications

References 26 publications

Ultraviolet to far-infrared transmission properties of thin film multi-walled carbon nanotube random networks

Ultraviolet to far-infrared transmission properties of thin film multi-walled carbon nanotube random networks

Adapting Bobbert-Vlieger model to spectroscopic ellipsometry of gold nanoparticles with bio-organic shells

Two Types of Localized States in a Photonic Crystal Bounded by an Epsilon near Zero Nanocomposite

Contact Info

Product

Resources

About