Résumé de section

◄Lecture 2 - Nonlinear wave equation & Phase matching condition
►Tutorial n°1 - Three-wave mixing interactions
  • During this lecture, we will discuss the limits of the models presented in introduction. Reminding the relation between the linear suceptiblity and the impulse response of a linear medium, a tensorial description for the nonlinear susceptibilities will be provided. The constitutive relations of nonlinear optics will be demonstrated :
    \(P=\epsilon_0 \chi^{(1)} E + \epsilon_0 \chi^{(2)} E E + \epsilon_0 \chi^{(2)} E E E+\cdots \)

    The second part of the lecture the  properties of nonlinear susceptibility tensors will be presented in details, with a focus on their symmetry properties.

    LEARNING OUTCOMES OF THE LECTURE

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

    • the constitutive relations of nonlinear optics (\( D= \epsilon_0 E +P \) and \(P=\epsilon_0 \chi^{(1)} E + \epsilon_0 \chi^{(2)} E E + \epsilon_0 \chi^{(2)} E E E+\cdots \) ) (K1)

    • the basic properties of nonlinear susceptibility tensors (K4)

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

    • Manipulating the nonlinear susceptibility tensor components and, with given incident fields, calculate the components of nonlinear polarisation vector
◄Lecture 2 - Nonlinear wave equation & Phase matching condition
►Tutorial n°1 - Three-wave mixing interactions