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Generalized Lorenz-Mie Theories

  • Book
  • © 2011

Overview

Authors:
  1. Gérard Gouesbet

    1. CNRS UMR 6614 CORIA , Université de Rouen, ST.-ETIENNE DU ROUVRAY CX, France

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  2. Gérard Gréhan

    1. CNRS UMR 6614 CORIA , Université de Rouen, ST.-ETIENNE DU ROUVRAY CX, France

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  • Extends the simple theory to the modern generalized Lorenz-Mie theory
  • With many applications
  • Essential reading scientists in experimental fluid dynamic scientists

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Table of contents (9 chapters)

  1. Front Matter

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  2. Background in Maxwell’s Electromagnetism and Maxwell’s Equations

    • Gérard Gouesbet, Gérard Gréhan
    Pages 1-22

  3. Resolution of Special Maxwell’s Equations

    • Gérard Gouesbet, Gérard Gréhan
    Pages 23-36

  4. Generalized Lorenz-Mie Theory in the Strict Sense, and Other GLMTs

    • Gérard Gouesbet, Gérard Gréhan
    Pages 37-88

  5. Gaussian Beams and Other Beams

    • Gérard Gouesbet, Gérard Gréhan
    Pages 89-116

  6. Finite Series

    • Gérard Gouesbet, Gérard Gréhan
    Pages 117-137

  7. Special Cases of Axisymmetric and Gaussian Beams

    • Gérard Gouesbet, Gérard Gréhan
    Pages 139-168

  8. The Localized Approximation and Localized Beam Models

    • Gérard Gouesbet, Gérard Gréhan
    Pages 169-197

  9. Applications, and Miscellaneous Issues

    • Gérard Gouesbet, Gérard Gréhan
    Pages 199-230

  10. Conclusion

    • Gérard Gouesbet, Gérard Gréhan
    Pages 231-232

  11. Back Matter

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Keywords

About this book

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.

Reviews

From the reviews:

“This book is devoted to light scattering problems and contains many results which were obtained by the authors on Generalized Lorenz-Mie Theory (GMLT). … The book contains nine chapters and six appendices. It is self-contained and is accessible to a large variety of audiences. … The book also contains appendices on some technical issues and computer programs.” (Giulio Ciraolo, Mathematical Reviews, November, 2013)

Authors and Affiliations

  • CNRS UMR 6614 CORIA , Université de Rouen, ST.-ETIENNE DU ROUVRAY CX, France

    Gérard Gouesbet, Gérard Gréhan

Bibliographic Information

  • Book Title: Generalized Lorenz-Mie Theories

  • Authors: Gérard Gouesbet, Gérard Gréhan

  • DOI: https://doi.org/10.1007/978-3-642-17194-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Berlin Heidelberg 2011

  • Hardcover ISBN: 978-3-642-17193-2Published: 03 February 2011

  • eBook ISBN: 978-3-642-17194-9Published: 08 February 2011

  • Edition Number: 1

  • Number of Pages: XXXVII, 308

  • Topics: Classical Electrodynamics, Engineering Fluid Dynamics

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