Optique non Linéaire

3 ECTS Credits — Semester 2 — Elective

This course provides an introduction to the concepts and tools associated with the phenomenon of nonlinear optics, illustrated by selected second- and third-order examples. The course comprises several parts, from basic notions to detailed calculations, and then to potential applications:

Syllabus

  • Introduction to weakly nonlinear systems by classical perturbative expansion.
  • Generalized susceptibilities: tensors. Physical implications in the context of light-matter interaction.
  • From Maxwell’s equations to the general equation of nonlinear optics.
  • Treatment of second-order nonlinear optical processes: parametric generation, second-harmonic generation, etc.
  • Nonlinear optics in periodic and quasi-periodic media: quasi-phase matching, photonic nonlinear crystal.
  • Third-order nonlinear optics: third harmonic generation, optical Kerr effect, Raman effect, etc.
  • Applications

Suggested Bibliography

  • Nonlinear Optics , 3rd edition Robert Boys • The principle of Nonlinear Optics, Y. R. Shen
  • Optique non-linéaire, François Sanchez (Ellipses, 1999)

Prerequisites

This course requires knowledge of optics (geometric and wave), and laser physics.