Generic formulation of a generalized Lorenz-Mie theory for pulsed laser illumination

  • G. Gouesbet
  • L. Mees
  • G. Gréhan
Conference paper


During the two last decades, a vigorous effort has been devoted to the study of interactions between arbitrary shaped beams (for continuous waves) and particles. When the particle under study allows one to solve the scattering problem by relying on the separability of variables, we say that the associated theory is a generalized Lorenz-Mie theory (GLMT). At the present time, GLMTs are available for the following kinds of particles: homogeneous spheres, multilayered spheres, ellipsoids, infinitely long cylinders (with circular or elliptical cross-sections), spheres with one arbitrarily located spherical inclusion, and aggregates. Such theories are relevant to the field of optical particle characterization in two-phase flows (phase-Doppler systems, rainbow refractometry, shadow Doppler techniques, for instance).

The aforementioned GLMTs are extensions of simpler theories when particles are illuminated by continuous plane waves. Another line of extension is derived by considering the case of illumination by pulses (single pulses or train of pulses), viewed as continuous arbitrary shaped beams modulated by a pulse envelope.

Nowadays, pulsed laser beams have become of common use, with a growing interest for the generation and applications of femtosecond pulses. In particular, pulsed lasers may activate many interesting nonlinear phenomena in microcavities, such as: stimulated Raman scattering, stimulated Brillouin scattering, third-order sum generation or lasing. They open the way for new optical particle characterization techniques, for instance: measurements of chemical species concentration in droplets.

It is therefore desirable to possess a GLMT for the case of particles illuminated by laser pulses, with arbitrary spatial supports. Such a GLMT will be presented in this paper. This GLMT is said to be generic. The word “generic” means that the theory is presented under a form allowing one to consider arbitrary scattering particles.


Stimulate Raman Scattering Geometrical Optic Complex Refractive Index Stimulate Brillouin Scattering Pulse Envelope 
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  1. Gouesbet G. and Gréhan G.. Generalized Lorenz-Mie theories, from past to future. Invited lecture to ICLASS 2000, Atomization and Sprays, vol 10, n 3–5, 277–330, 2000.Google Scholar
  2. Gouesbet G. and Gréhan G.. Generalized Lorenz-Mie theory for a sphere with an eccentrically located spherical inclusion. J. Mod. Optics, vol 47, n 5, 821–837, 2000 b.Google Scholar
  3. Gouesbet G. and Gréhan G.. Generalized Lorenz-Mie theory for assemblies of spheres and aggregates. J. of Optics A: Pure and Applied Optics, 1:706–712, 1999.Google Scholar
  4. Gouesbet G. and Gréhan G.. Generic formulation of a generalized Lorenz-Mie theory for a particle illuminated by laser pulses. To be published by Part. Part.. Syst. Character.Google Scholar
  5. Gouesbet G. Exact description of arbitrary shaped beams for use in light scattering theories. J. Opt. Soc. Am. A, 13 (12): 2434–2440, 1996.MathSciNetGoogle Scholar
  6. Gouesbet G. Theory of distributions and its application to beam parametrization in light scattering. Part. Part. Syst. Charact., 16: 147–159, 1999.CrossRefGoogle Scholar
  7. Roddier F. Distributions et transformations de Fourier. 1978. McGraw-Hill.Google Scholar
  8. Bayvel L.P. and Jones A.R. Electromagnetic scattering and its applications. 1981. Applied Science Publishers.Google Scholar
  9. Sellens R.W.. A derivation of phase Doppler measurement relation for an arbitrary geometry. Experiments in Fluids, 8: 165–168, 1989.CrossRefGoogle Scholar
  10. Bultynck H. Développement de sondes laser Doppler miniatures pour la mesure de particules dans des écoulements réels complexes. PhD thesis, Université de Rouen, Fevrier 1998Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • G. Gouesbet
    • 1
  • L. Mees
    • 1
  • G. Gréhan
    • 1
  1. 1.Laboratoire d’Energétique des Systèmes et Procédés, Unité Mixte de Recherche 6614/CORIACNRS/INSA et Université de RouenMont Saint AignanFrance

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