Nonlinear Optics in Structures with Dimensional Confinement

  • C. Martijn De Sterke
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 101)


The nonlinear optical properties of one dimensional periodic media (“gratings”) are discussed. In particular three aspects are highlighted: the effects of gratings on phase matching conditions in nonlinear conversion processes, how the eigenfunctions of the fields in the grating can enhance the effective nonlinearity, and, finally, effects occurring at frequencies close to the Bragg condition of the grating where the light’s group velocity can be substantially less than the speed of light in the medium without a grating.


Phase Match Condition Bloch Function Parametric Amplification Nonlinear Schrodinger Equation Uniform Medium 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • C. Martijn De Sterke
    • 1
    • 2
  1. 1.School of PhysicsUniversity of SydneyAustralia
  2. 2.Australian Photonics Cooperative Research CentreEveleighAustralia

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