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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Background in Maxwell’s Electromagnetism and Maxwell’s Equations

Abstract
This book being devoted to an up-to-date version of electromagnetic scattering theory, Maxwell’s equations constitute the unescapable starting block. An usual attitude in textbooks dealing with scattering theory is to straightaway introduce special Maxwell’s equations which are sufficient to develop the theory when only local, linear, homogeneous, isotropic and stationary media are considered.
Gérard Gouesbet, Gérard Gréhan

Chapter 2. Resolution of Special Maxwell’s Equations

Abstract
In this chapter we present solutions of Maxwell’s equations for time-harmonic waves in l.l.h.i. media. Hence, the starting point is Sect. 1.​2. Again, one of our recurrent choice will be to introduce special cases as late as possible in the chain of the resolution of Maxwell’s equations.
Gérard Gouesbet, Gérard Gréhan

Chapter 3. Generalized Lorenz–Mie Theory in the Strict Sense, and Other GLMTs

Abstract
The general version of GLMT (in the strict sense, i.e. when the scaterer is a sphere defined by its diameter d and its complex refractive index M) has been exposed in [2, 89].
Gérard Gouesbet, Gérard Gréhan

Chapter 4. Gaussian Beams and Other Beams

Abstract
The GLMT-framework previously introduced concerns arbitrary shaped beams. In practice however, one is often concerned with well defined special kinds of beams and, when the nature of the beam is known, much more can be said about GLMT.
Gérard Gouesbet, Gérard Gréhan

Chapter 5. Finite Series

Abstract
As previously discussed, evaluations of BSCs \(g_{n}^{m}\) may be carried out by using quadratures.
Gérard Gouesbet, Gérard Gréhan

Chapter 6. Special Cases of Axisymmetric and Gaussian Beams

Abstract
We define an axisymmetric beam [74] (Gouesbet, Applied Optics 35(9), 1543–1555, 1996) to be a beam for which the z-component \(S_{z}\) of the Poynting vector, in which z is the direction of propagation of the beam, does not depend on the azimuthal angle \(\varphi \), in suitably chosen coordinate systems.
Gérard Gouesbet, Gérard Gréhan

Chapter 7. The Localized Approximation and Localized Beam Models

Abstract
Beside more or less classical mathematical functions, numerical computations for GLMT require accurate enough computations of BSCs \(g_{n}^{m}\) or \(g_{n}\) describing the incident beam.
Gérard Gouesbet, Gérard Gréhan

Chapter 8. Applications, and Miscellaneous Issues

Abstract
Some allusions or brief discussions concerning applications of GLMTs have already been provided (and will not be necessarily repeated here). This chapter, to be viewed as, and written as, a complement, is devoted to a more systematic and exhaustive exposition of such applications. Complementary miscellaneous issues will also be discussed.
Gérard Gouesbet, Gérard Gréhan

Chapter 9. Conclusion

Abstract
The aim of the present book has been to provide a background in GLMT, allowing presumably a rather easy access to archival literature in journals and conference proceedings.
Gérard Gouesbet, Gérard Gréhan

Backmatter

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