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Stimulated Raman and Brillouin scattering and the inverse method

Part of the Lecture Notes in Mathematics book series (LNM,volume 515)

Keywords

  • Group Velocity
  • Stimulate Raman Scattering
  • Nonlinear Partial Differential Equation
  • Stimulate Brillouin Scattering
  • Electric Field Amplitude

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. A. YARIV, Quantum Electronics, John Wiley & Sons, New York, N.Y., 1967, Chaps. 23 and 25.

    Google Scholar 

  2. G.L. LAMB, JR., Analytical descriptions of ultrashort optical pulse propagation in a resonant medium, Rev. Modern Phys. 43 (1971), 99–124.

    CrossRef  MathSciNet  Google Scholar 

  3. G.L. LAMB, JR., Phase variation in coherent-optical pulse propagation, Phys. Rev. Lett. 31 (1973), 196–199.

    CrossRef  Google Scholar 

  4. M.J. ABLOWITZ, D.J. KAUP, AND A.C. NEWELL, Coherent pulse propagation, a dispersive, irreversible phenomenon, J. Mathematical Phys. 15 (1974), 1852–1858.

    CrossRef  Google Scholar 

  5. P.D. LAX, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 647–690.

    CrossRef  MathSciNet  Google Scholar 

  6. F.Y.F. CHU, Physical applications of the soliton theory, Ph.D. Thesis, University of Wisconsin, 1974.

    Google Scholar 

  7. H. STEUDEL, Stimulierte Ramanstreuung mit ultrakurzen Lichtimpulsen, Exp. Tech. der Physik 20 (1972), 409–415.

    Google Scholar 

  8. S.A. AKHMANOV, K.N. DRABOVICH, A.P. SUKHORUKOV, AND A.S. CHIRKIN, Stimulated Raman scattering in a field of ultrashort light pulses, Soviet Physics JETP 32 (1971), 266–273.

    Google Scholar 

  9. R.P. FEYNMAN, F.L. VERNON, JR., AND R.W. HELLWARTH, Geometrical representation of the Schrödinger equation for solving maser problems, J. Appl. Phys. 28 (1957), 49–52.

    CrossRef  Google Scholar 

  10. M.J. ABLOWITZ, D.J. KAUP, A.C. NEWELL, AND H. SEGUR, The inverse scattering transform-Fourier analysis for nonlinear problems, Studies in Appl. Math. 53 (1974), 249–315.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. D.W. MCLAUGHLIN AND J. CORONES, On semi-classical radiation theory and the inverse method, Phys. Rev. A 10 (1974), 2051–2062.

    CrossRef  Google Scholar 

  12. A.C. SCOTT, F.Y.F. CHU, AND D.W. MCLAUGHLIN, The soliton: A new concept in applied science, Proc. IEEE 61 (1973), 1443–1483.

    CrossRef  MathSciNet  Google Scholar 

  13. V.E. ZAKHAROV AND A.B. SHABAT, Exact theory of two-dimensional selffocusing and one-dimensional self-modulation of waves in nonlinear media, Soviet Physics JETP 34 (1972), 62–69.

    MathSciNet  Google Scholar 

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© 1976 Springer-Verlag

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Chu, F.Y.F. (1976). Stimulated Raman and Brillouin scattering and the inverse method. In: Miura, R.M. (eds) Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications. Lecture Notes in Mathematics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081161

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  • DOI: https://doi.org/10.1007/BFb0081161

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07687-2

  • Online ISBN: 978-3-540-38220-1

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