Self-similarity in Stimulated Raman Scattering

172 pages
ISBN 2-921120-24-0

Decio Levi, Curtis R. Menyuk and Pavel Winternitz, editors

Contains eight articles from a workshop held at the CRM in March 1993 and attended by experimentalists, applied mathematicians, and theorists. From the authors' preface:
“Since Bloembergen and his colleagues at Harvard began their investigations of transient stimulated Raman scattering in gases in the 70's, this subject has been studied by a variety of researchers from a number of different points of view. By transient stimulated Raman scattering, we mean Raman scattering which is stimulated by the presence of a seed Stokes wave, so that both pump and Stokes waves are present at the entry to the Raman cell. Moreover at least one of the waves has a time duration which is short compared to T2, the molecular de-excitation time in the Raman medium.
Recent theoretical work predicts that the long distance evolution of this system will be dominated by self-similar solutions, i.e., solutions invariant under certain transformations involving dilations. The term ‘accordions’ has been coined for these solutions, in view of their typical oscillatory behavior…. This book has its origin in the following observation: accordions, like solitons, are a ‘universal’ phenomenon—a phenomenon which is predicted to appear in a variety of differ-ent physical settings.”


  1. D. Levi, C. R. Menyuk, P. Winternitz, Preface
  2. C. R. Menyuk, Self-Similarity in Stimulated Raman Scattering: An Overview
  3. D. Levi, P. Winternitz, Self-Similarity in Stimulated Raman Scattering
  4. A. Its, Painlevé Functions. Brief Review of the Modern Theory and Applications
  5. D. J. Kaup, Stimulated Raman Scattering: The Nonlinear Theory
  6. H. Steudel, The Equivalence of SRS and Sharp-Line SIT
  7. I. A. Walmsley, Quantum Noise in Stimulated Raman Scattering
  8. J. G. Wessel, P. R. Battle, J. L. Carlsten, Stimulated Raman Scattering in a Multiple Pass Cell
  9. M. D. Duncan et al., Transient Stimulated Raman Amplification

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