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◄Tutorial n° 3 & 4 : Nonlinear optics Problems
►Lecture 7 : 3rd order nonlinearities (part 2)

  • This chapter is dedicated to the study of 3rd order nonlinear optical effects, through which 4 waves at \omega_1, \omega_2, \omega_4, and \omega_4= \omega_1+ \omega_2 + \omega_3 could interact in a material with a non-zero third order susceptibility \chi^{(3)}.

    We will start by presenting the Optical Kerr Effect related to the capability of an intense beam to modify the refractive index of the material. The consequence on the propagation of optical wave-packets (either temporal or spatial) will be analyzed in details, showing the interdependence between optical Kerr effect and dispersion (in time domain) or diffraction (in spatial domain).


    LEARNING OUTCOMES OF THE LECTURE

    By the end of this lecture, students will know...

    • the nonlinear effects that arise in a 3rd order nonlinear materials

    By the end of this course, students will be skilled at ...

    • Solving the nonlinear equation in parametric situations and derive analytical solutions under the undepleted pump approximation
    • Calculating nonlinear interaction performances/efficiencies in situations governed by analytical solutions or expressions

    By the end of this course, students will understand  ...

    • the interplays between linear and nonlinear effects

    • Nonlinear effects are a key points in the development of many applications in photonics (especially in relation with laser physics)

    • Nonlinear interactions lead to energy transfer between optical beams, and/or between matter and beams, enabling in some cases the realization of nonlinear optical amplification and/or oscillation.
    • Nonlinear optics is an essential tool to create novel optical frequencies generated through the interaction of incident beams within nonlinear materials
    • Nonlinear effects are subject to phase matching conditions

    By the end of this course, students will be able to  ...

    • Model 3rd order nonlinear effects, 
    • Evaluate nonlinear interaction performances/efficiencies under approximations that should be specified, explained and justified
    • Determine in a situation involving the propagation of at least one light beam through a dielectric material medium (solid or guided), whether non-linear effects can be neglected.
◄Tutorial n° 3 & 4 : Nonlinear optics Problems
►Lecture 7 : 3rd order nonlinearities (part 2)