CONTENTS of the course

I - INTRODUCTION TO NONLINEAR OPTICS
Basics of nonlinear optics
Physical origins of the optical nonlinearities

II - NONLINEAR WAVE EQUATIONS
Introduction
Derivation of Maxwell’s equations – Constitutive relations
Linear wave equation : pulse response and linear susceptibility – anisotropic medium – transfer of energy – group velocity
Nonlinear susceptibilities : nonlinear pulse response and susceptibilities – properties of the nonlinear susceptibilities tensors
Nonlinear wave equations

III - 2nd ORDER NONLINEARITIES
Manley-Rowe relations
2nd Harmonic Generation : weak conversion, phase matching, strong conversion : SHG with pump depletion, phase matching in uniaxial crystal.
Quasi-phase matching in materials
Frequency Mixing
Optical parametric amplification and oscillation
Spontaneous parametric down conversion
Sources of entangled photons based on SPDC

IV - QUANTUM CALCULATION OF NONLINEAR RESPONSE FUNCTIONS AND SUSCEPTIBILITIES.
INTRODUCTION TO BIDIMENSIONAL SPECTROSCOPY.
Quantum calculation of the response functions and of nonlinear sus-
ceptibilities
Response functions : resonant case
Pump-probe experiment
Raman/Fluorescence
2D spectroscopy

V - 3rd ORDER NONLINEARITIES and SHORT PULSES
Optical Kerr effect : n2(I), optical bistability, self-focusing effect, self-phase modulation
Propagation of ultrashort pulses, solitons

VI Raman and Birllouin scattering
Raman Scattering : spontaneous and stimulated Raman scattering, Raman amplification, Raman Laser
Brillouin Scattering : spontaneous and stimulated effects
2 photon Absorption

 Timetable 2019-2020