Ressources Pédagogiques >> Nonlinear Electromagnetism
Responsable :

Nicolas Dubreuil
  

Equipe Pédagogique :
Isabelle Zaquine
François Hache
Marie-Claire Schanne-Klein

Licence d'usage :  Cadre Privé

Nonlinear Electromagnetism
Fiche descriptive de cours :
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
Four-wave Mixing
Optical Kerr effect : n2(I), optical bistability, self-focusing effect, self-phase modulation and solitons
Third order nonlinear resonant effects : two-photon transition
Raman Scattering : spontaneous and stimulated Raman scattering, Raman amplification, Raman Laser
Brillouin Scattering : spontaneous and stimulated effects
2 photon Absorption

VI - ENHANCEMENT of NONLINEAR INTERACTIONS in STRUCTURED MATERIALS
Local field factor correction
Enhancement of the nonlinear optical effects in slow mode waveguides and microcavities
Perturbation theory for nonlinear photonics structures : Coupled mode theory for LINEAR and NONLINEAR optical cavities
Illustration : Optical Kerr cavity – Optical bistability behavior

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