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G. Gouesbet - One of the best experts on this subject based on the ideXlab platform.
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Generalized Lorenz–Mie Theory and applications
Journal of Quantitative Spectroscopy and Radiative Transfer, 2009Co-Authors: James A. Lock, G. GouesbetAbstract:Abstract The basic formulas of generalized Lorenz–Mie Theory are presented, and are applied to scattering of a focused Gaussian laser beam by a spherical particle. Various applications of focused beam scattering are also described, such as optimizing the rate at which morphology-dependent resonances are excited, laser trapping, particle manipulation, and the analysis of optical particle sizing instruments. Each of these applications requires either special positioning the beam with respect to the particle or illumination of only part of the particle by the beam.
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Asymptotic quantum inelastic generalized Lorenz-Mie Theory
Optics Communications, 2007Co-Authors: G. GouesbetAbstract:The (electromagnetic) generalized Lorenz–Mie Theory describes the interaction between an electromagnetic arbitrary shaped beam and a homogeneous sphere. It is a generalization of the Lorenz–Mie Theory which deals with the simpler case of a plane wave illumination. In a recent paper, we consider (i) elastic cross-sections in electromagnetic generalized Lorenz–Mie Theory and (ii) elastic cross-sections in an associated quantum generalized Lorenz–Mie Theory. We demonstrated that the electromagnetic problem is equivalent to a superposition of two effective quantum problems. We now intend to generalize this result from elastic cross-sections to inelastic cross-sections. A prerequisite is to build an asymptotic quantum inelastic generalized Lorenz–Mie Theory, which is presented in this paper.
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Asymptotic quantum inelastic generalized Lorenz–Mie Theory
Optics Communications, 2006Co-Authors: G. GouesbetAbstract:Abstract The (electromagnetic) generalized Lorenz–Mie Theory describes the interaction between an electromagnetic arbitrary shaped beam and a homogeneous sphere. It is a generalization of the Lorenz–Mie Theory which deals with the simpler case of a plane-wave illumination. In a recent paper, we established that, if we restrict ourselves to the study of cross-sections, both for elastic and inelastic scatterings, a macroscopic sphere in Lorenz–Mie Theory is formally equivalent to a quantum-like radial potential. To generalize this result, a prerequisite is to possess an asymptotic quantum generalized Lorenz–Mie Theory expressing cross-sections in the case of a quantum radial potential interacting with a sub-class of quantum arbitrary wave-packets. Such a Theory, restricted however to elastic scattering, is presented in this paper.
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Generalized Lorenz–Mie Theory for infinitely long cylinders with elliptical cross sections: erratum
Journal of the Optical Society of America A, 2005Co-Authors: G. Gouesbet, Loic MeesAbstract:Corrections for the generalized Lorenz–Mie Theory for infinitely long cylinders with elliptical cross sections are provided.
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Generalized Lorenz-Mie Theory for a spheroidal particle with off-axis Gaussian-beam illumination
Applied Optics, 2003Co-Authors: Yingping Han, Gérard Gréhan, G. GouesbetAbstract:The beam-shape coefficients of arbitrary off-axis Gaussian beams in spheroidal coordinates are evaluated with a generalized Lorenz-Mie Theory. The light-scattering properties of absorbing and nonabsorbing homogeneous spheroidal particles, such as the angular distribution of scattered intensity for a wide range of particles sizes and different complex refractive indices versus the magnitude and location of the beam waist, are investigated.
G Gouesbet - One of the best experts on this subject based on the ideXlab platform.
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generalized lorenz Mie Theory and applications
Journal of Quantitative Spectroscopy & Radiative Transfer, 2009Co-Authors: James A. Lock, G GouesbetAbstract:Abstract The basic formulas of generalized Lorenz–Mie Theory are presented, and are applied to scattering of a focused Gaussian laser beam by a spherical particle. Various applications of focused beam scattering are also described, such as optimizing the rate at which morphology-dependent resonances are excited, laser trapping, particle manipulation, and the analysis of optical particle sizing instruments. Each of these applications requires either special positioning the beam with respect to the particle or illumination of only part of the particle by the beam.
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cross sections in lorenz Mie Theory and quantum scattering formal analogies
Optics Communications, 2004Co-Authors: G GouesbetAbstract:Abstract We consider the scattering of a plane wave by a sphere (Lorenz–Mie Theory) and the corresponding quantum problem of scattering of an illuminating plane wave beam by a radial potential U ( r ), and demonstrate that cross-sections in both frameworks are amenable to identical expressions, excepted for zero-order phase shift terms which are specific of the quantum framework.
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Cross-sections in Lorenz–Mie Theory and quantum scattering: formal analogies
Optics Communications, 2004Co-Authors: G GouesbetAbstract:Abstract We consider the scattering of a plane wave by a sphere (Lorenz–Mie Theory) and the corresponding quantum problem of scattering of an illuminating plane wave beam by a radial potential U ( r ), and demonstrate that cross-sections in both frameworks are amenable to identical expressions, excepted for zero-order phase shift terms which are specific of the quantum framework.
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debye series formulation for generalized lorenz Mie Theory with the bromwich method
Particle & Particle Systems Characterization, 2003Co-Authors: G GouesbetAbstract:The formulation of the Debye series ready for implementation in generalized Lorenz-Mie Theory (Theory of interaction between an arbitrary shaped beam and a homogeneous sphere) is presented in the framework of the Bromwich method.
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generic formulation of a generalized lorenz Mie Theory for a particle illuminated by laser pulses
Particle & Particle Systems Characterization, 2000Co-Authors: G Gouesbet, Gérard GréhanAbstract:We present a generic formulation of a generalized Lorenz–Mie Theory for a particle illuminated by laser pulses (single pulses or train of pulses). The formulation is generic because the shape of the particle is arbitrary. The formulation is illustrated by examining a Rayleigh dipole (under circumstances allowing one to provide analytical derivations).
Gérard Gréhan - One of the best experts on this subject based on the ideXlab platform.
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Generalized Lorenz-Mie Theory for a spheroidal particle with off-axis Gaussian-beam illumination
Applied Optics, 2003Co-Authors: Yingping Han, Gérard Gréhan, G. GouesbetAbstract:The beam-shape coefficients of arbitrary off-axis Gaussian beams in spheroidal coordinates are evaluated with a generalized Lorenz-Mie Theory. The light-scattering properties of absorbing and nonabsorbing homogeneous spheroidal particles, such as the angular distribution of scattered intensity for a wide range of particles sizes and different complex refractive indices versus the magnitude and location of the beam waist, are investigated.
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generic formulation of a generalized lorenz Mie Theory for a particle illuminated by laser pulses
Particle & Particle Systems Characterization, 2000Co-Authors: G Gouesbet, Gérard GréhanAbstract:We present a generic formulation of a generalized Lorenz–Mie Theory for a particle illuminated by laser pulses (single pulses or train of pulses). The formulation is generic because the shape of the particle is arbitrary. The formulation is illustrated by examining a Rayleigh dipole (under circumstances allowing one to provide analytical derivations).
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Generic Formulation of a Generalized Lorenz‐Mie Theory for a Particle Illuminated by Laser Pulses
Particle & Particle Systems Characterization, 2000Co-Authors: G. Gouesbet, Gérard GréhanAbstract:We present a generic formulation of a generalized Lorenz–Mie Theory for a particle illuminated by laser pulses (single pulses or train of pulses). The formulation is generic because the shape of the particle is arbitrary. The formulation is illustrated by examining a Rayleigh dipole (under circumstances allowing one to provide analytical derivations).
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Generalized Lorenz-Mie Theory for assemblies of spheres and aggregates
Journal of Optics A: Pure and Applied Optics, 1999Co-Authors: G. Gouesbet, Gérard GréhanAbstract:An interaction Theory between an arbitrary electromagnetic shaped beam and assemblies of spheres (and/or aggregates) is presented. This Theory is built by the synthesis of two already available theories: (i) the generalized Lorenz-Mie Theory (GLMT) for a homogeneous sphere, illuminated by an arbitrary shaped beam and (ii) the interaction Theory between a plane wave and assemblies of spheres (and/or aggregates). An appealing application of this GLMT concerns the study of chaotic scattering within the framework of a rigorous electromagnetic Theory.
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The Structure of Generalized Lorenz-Mie Theory for Elliptical Infinite Cylinders
Particle & Particle Systems Characterization, 1999Co-Authors: G. Gouesbet, Gérard Gréhan, Loic Mees, Kuan F. RenAbstract:Generalized Lorenz-Mie Theory (GLMT) for elliptical cylinders is concisely described. Rather than insisting on technicalities which will appear elsewhere, this paper provides a guide allowing one to gain a bird view over the structure of the Theory. As a by-product. h the structure of the GLMT for circular cylinders is revisited.
G A Shah - One of the best experts on this subject based on the ideXlab platform.
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geometrical optics and diffraction vis a vis Mie Theory of scattering of electromagnetic radiation by a sphere
Astrophysics and Space Science, 1992Co-Authors: G A ShahAbstract:The usefulness of the classical Geometrical Optics and Diffraction (GOD) has been illustrated for scattering of electromagnetic radiation by very large dielectric and absorbing spheres. Various scattering parameters such as extinction efficiency, asymmetry parameter, radiation pressure, etc., have been calculated on the basis of GOD and compared with the equivalent results obtained as per the Mie Theory. The spheres are assumed to be composed of pure and impure silicate-like or polystyrene material in the visual wavelengths. The representative indices of refractionm=m′−im″ are chosen to bem′=1.6 andm″=0.00, 0.05, 0.10, 0.30, 1.00, 2.00, and 4.00. It is shown that the asymptotic values of a given scattering parameter obtained from the Mie Theory calculations agree reasonably well with the corresponding result based on GOD. It is thus possible to estimate the minimum value (xmin) of the size-to-wavelength parameterx(=2πa/λ;a, the radius of the sphere; and λ, the wavelength of the incident radiation), such that, forx>xmin, GOD holds good for certain specified accuracy.
Xingcai Li - One of the best experts on this subject based on the ideXlab platform.
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the comparison between the Mie Theory and the rayleigh approximation to calculate the em scattering by partially charged sand
Journal of Quantitative Spectroscopy & Radiative Transfer, 2012Co-Authors: Xingcai Li, Xiaojing ZhengAbstract:Abstract The Mie Theory and Rayleigh approximation are two basic methods to study the EM scattering of uncharged spherical particle, and when the particle radius is much smaller than the incident wavelength, they are equivalent, but whether the Rayleigh approximation is still equivalent to Mie Theory when we use them to calculate the EM scattering of small charged particle, there is still no any report published to discuss this problem. In this paper we make some comparisons between Mie Theory and Rayleigh approximation to solve the EM scattering of partially electrification spherical particles. The results showed that the Mie Theory would be more suitable to calculate the scattering of charged spherical particles.