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The Lorenz-Mie theory, describing the interaction between a homogeneous sphere and an electromagnetic plane wave, is likely to be one of the most famous theories in light scattering. But, with the advent of lasers and their increasing development in various fields, it has become too old-fashioned to meet most of the modern requisites. The book deals with generalized Lorenz-Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam, relying on the method of separation of variables. A particular emphasis is stressed on the case of the homogeneous sphere but other regular particles are considered too. An extensive discussion of the methods available to the evaluation of beam shape coefficients describing the illuminating beam is provided, and several methods are discussed. Applications concern many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances, or mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Various computer programs relevant to the contents of the book are furthermore provided.

Hydraulic engineering. --- Physics. --- Physics --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Light & Optics --- Electromagnetic waves --- Light --- Mie scattering. --- Maxwell equations. --- Scattering. --- Equations, Maxwell --- Mie theory --- Scattering, Mie --- Light scattering --- Scattering of light --- Optics. --- Electrodynamics. --- Fluid mechanics. --- Optics and Electrodynamics. --- Engineering Fluid Dynamics. --- Differential equations, Partial --- Electromagnetic theory --- Brillouin scattering --- Diffusion --- Particles --- Reflection (Optics) --- Refraction --- Scattering (Physics) --- Scattering --- Classical Electrodynamics. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Hydromechanics --- Continuum mechanics --- Dynamics

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This book explores generalized Lorenz–Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. Although it particularly focuses on the homogeneous sphere, the book also considers other regular particles. It discusses in detail the methods available for evaluating beam shape coefficients describing the illuminating beam. In addition it features applications used in many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances and the mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Furthermore, it provides various computer programs relevant to the content. In the last years many new developments took place so that a new edition became necessary. This new book now incorporates solutions for many more particle shapes and morphologies, various kinds of illuminating beams, and also to mechanical effects of light, whispering-gallery modes and resonances, and optical particle characterization techniques. In addition, the new book considers localized approximations, on the renewal of the finite series technique, on a new categorization of optical forces, and the study of Bessel beams, Mathieu beams, Laguerre-Gauss beams, frozen waves.

Topological groups. --- Lie groups. --- Fluid mechanics. --- Electrodynamics. --- Telecommunication. --- Topological Groups and Lie Groups. --- Engineering Fluid Dynamics. --- Classical Electrodynamics. --- Microwaves, RF Engineering and Optical Communications. --- Electric communication --- Mass communication --- Telecom --- Telecommunication industry --- Telecommunications --- Communication --- Information theory --- Telecommuting --- Dynamics --- Hydromechanics --- Continuum mechanics --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Electrodinàmica --- Mecànica de fluids --- Equacions de Maxwell

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Fluid mechanics --- Optics. Quantum optics --- Electromagnetism. Ferromagnetism --- ingenieurswetenschappen --- vloeistoffen

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This book explores generalized Lorenz–Mie theories when the illuminating beam is an electromagnetic arbitrary shaped beam relying on the method of separation of variables. The new edition includes an additional chapter covering the latest advances in both research and applications, which are highly relevant for readers. Although it particularly focuses on the homogeneous sphere, the book also considers other regular particles. It discusses in detail the methods available for evaluating beam shape coefficients describing the illuminating beam. In addition it features applications used in many fields such as optical particle sizing and, more generally, optical particle characterization, morphology-dependent resonances and the mechanical effects of light for optical trapping, optical tweezers and optical stretchers. Furthermore, it provides various computer programs relevant to the content.

Fluid mechanics. --- Optics. --- Electrodynamics. --- Topological groups. --- Lie groups. --- Microwaves. --- Optical engineering. --- Engineering Fluid Dynamics. --- Classical Electrodynamics. --- Topological Groups, Lie Groups. --- Microwaves, RF and Optical Engineering.