Table of Contents

• Phenomenological Description of Nonlinear Optical Phenomena
• Quantum Mechanical Development of Nonlinear Interactions Between Matter and Electromagnetic Fields
• Problems

Phenomenological Description of Nonlinear Optical Phenomena

• Macroscopic notes
• Propagation of light in crystals (Fowles)
• Classical nonlinear susceptibility (Boyd)

Quantum Mechanical Development of Nonlinear Interactions Between Matter and Electromagnetic Fields

• Time-independent perturbation theory
• Time-dependent perturbation theory
• Time-evolution operator
• Multi-photon absorption
• Nonlinear susceptibility tensors

Problems

• Model for α(ω), β(2ω,ω,ω) and γ(2ω₁-ω₂, ω₁, ω₁,-ω₂), with phase-matching.