Scattering of light from small nematic spheres with radial dielectric anisotropy

Karaçalı, H.; Risser, Steven M.; Ferris, Kim F.

doi:10.1103/physreve.56.4286

Cited by 20 publications

(13 citation statements)

References 20 publications

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“…Here, both dielectric gradation profiles 1r (r) and 1t (r) will be mathematically represented as radial functions [25]. In view of the spherical symmetry, we can express the dielectric constant tensor ↔ ε 1 (r) of graded particles in the form…”

Section: Model and Definition Of Effective Linear Dielectric Constantmentioning

confidence: 99%

“…In what follows, the dielectric tensor for the the anisotropic spherical inclusions is assumed to be diagonal in spherical coordinates, with a value 1t (r) in the tangential directions and 1r (r) in the radial direction [25,120,122]. Here, both dielectric gradation profiles 1r (r) and 1t (r) will be mathematically represented as radial functions [25].…”

Section: Model and Definition Of Effective Linear Dielectric Constantmentioning

confidence: 99%

“…For example, recently we studied graded composites, which provided an extra degree of freedom for controlling the nonlinear optical properties of these materials by choosing appropriate gradation profiles [19][20][21][22][23]. In fact, there exist in Nature abundant graded materials, such as biological cells [24] and liquid crystal droplets [25]. Furthermore, many artificially-graded-index optical metamaterials and elements have been fabricated nowadays [26].…”

Section: Introductionmentioning

confidence: 99%

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Enhanced nonlinear optical responses of materials: Composite effects

2006

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We review recent theoretical progress in understanding physical processes of composite effects on enhanced third-order nonlinear optical responses of various kinds of the recently-proposed nonlinear optical materials, namely, colloidal nanocrystals with inhomogeneous metallodielectric particles or a graded-index host, metallic films with inhomogeneous microstructures adjusted by ion doping or temperature gradient, composites with compositional gradation or graded particles, and magneto-controlled ferrofluidbased nonlinear optical materials.

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Section: Model and Definition Of Effective Linear Dielectric Constantmentioning

confidence: 99%

Section: Model and Definition Of Effective Linear Dielectric Constantmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Enhanced nonlinear optical responses of materials: Composite effects

2006

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“…The specific form of the expansions is also known as the T -matrix ansatz that has been widely used in the related problem of light scattering by nonspherical particles [5,8,9]. More recently this strategy has been successfully applied to optically anisotropic particles [10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Mie scattering of Laguerre-Gaussian beams: Photonic nanojets and near-field optical vortices

Kiselev

Plutenko

2014

Phys. Rev. A

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We study Mie light scattering of Laguerre-Gaussian (LG) beams remodelled using the method of far-field matching. The theoretical results are applied to examine the optical field in the near-field region for purely azimuthal LG beams characterized by the nonzero azimuthal mode number m LG . The mode number m LG is found to have a profound effect on the morphology of photonic nanojets and the near-field structure of optical vortices associated with the components of the electric field.

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“…11 The effect of the radial dielectric anisotropy on light scattering in small nematic spheres has also been reported. 24 Some researchers have predicted the effective dielectric response of heterogeneous media containing graded anisotropic particles using the anisotropic differential effective dipole approximation ͑ADEDA͒. 14,[25][26][27] In this approximation, an equivalent homogeneous particle that induces the same dipole moment as the original graded particle is used to replace the latter.…”

Section: Introductionmentioning

confidence: 99%

Conductivities of heterogeneous media with graded anisotropic constituents

Duan

Karihaloo

et al. 2006

Journal of Applied Physics

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Two methods are presented to predict the effective conductivities of heterogeneous media containing discretely suspended particles. The particles have either graded anisotropy or a graded anisotropic interphase. A differential replacement procedure based on an energy equivalency condition is presented first to replace the graded anisotropic constituents by equivalent homogeneous isotropic particles. This allows many approximate schemes to be used to predict the effective conductivities of the heterogeneous media containing graded anisotropic constituents from the conductivity of the equivalent homogeneous particles. Next, the optimized upper and lower bounds on the effective conductivities of these heterogeneous media are presented by introducing comparison materials. It is shown that the DRP predictions are within these bounds for the considered media.

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Scattering of light from small nematic spheres with radial dielectric anisotropy

Cited by 20 publications

References 20 publications

Enhanced nonlinear optical responses of materials: Composite effects

Enhanced nonlinear optical responses of materials: Composite effects

Mie scattering of Laguerre-Gaussian beams: Photonic nanojets and near-field optical vortices

Conductivities of heterogeneous media with graded anisotropic constituents

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