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1 results

  • 5 - Nonlinear Optical Phenomena

  • Govind P. Agrawal, University of Rochester, New York
  • Book:
    Physics and Engineering of Graded-Index Media
    Published online:
    27 July 2023
    Print publication:
    10 August 2023, pp 111-162

  • Summary

    The focus in this chapter is on intensity-dependent changes in the refractive index of a GRIN medium, responsible for the Kerr effect. In Section 5.1, we consider self-focusing of an optical beam inside a GRIN medium. Pulsed beams are considered in Section 5.2, where we derive a nonlinear propagation equation and discuss the phenomena of self- and cross-phase modulations. Section 5.3 is devoted to modulation instability and the formation of multimode solitons. Intermodal nonlinear effects are considered in Section 5.4 with emphasis on four-wave mixing and stimulated Raman scattering. Nonlinear applications discussed in Section 5.5 include supercontinuuum generation, spatial beam cleanup, and second harmonic generation.