Optique non-linéaire

Module 1: Transition from Linear to Nonlinear Optics

• Introduction to nonlinear optics
• Basic model of linear susceptibility
• Absorption and refractive index
• Numerical calculations using Scilab

Module 2: Fourier Transformation

• Understanding Fourier series and transformations
• Numerical calculations with Scilab
• Applications of Fourier transformation

Module 3: Propagation in Linear Regime (Temporal Domain)

• Equation of propagation in Fourier space
• Analysis of pulse dispersion
• Experimental illustration and practical applications

Module 4: Propagation in Linear Regime (Spatial Domain)

• Propagation of monochromatic light beams
• Understanding spatial propagation in linear regime

Module 5: Propagation in Nonlinear Regime

• Analysis of superimposed monochromatic waves
• Equation of nonlinear propagation in the temporal domain
• Importance of symmetry and numerical methods

Module 6: Frequency Doubling

• Understanding second-order nonlinear processes
• Optical linear in anisotropic media
• Principles and applications of phase matching

Module 7: Three-Wave Mixing

• Sum and difference frequency generation
• Parametric amplification and phase matching
• Exploration of optical quantum phenomena

Module 8: Optical Kerr Effect

• Third-order nonlinear processes
• Propagation equations and their implications
• Cascading and its effects

Module 9: Other Third-Order Nonlinear Effects

• Saturation of absorption and two-photon absorption
• Generation of third harmonic and its applications
• Experiments in nonlinear microscopy

Module 10: Femtosecond Lasers

• Principles of femtosecond oscillators
• Relationship with solitons and frequency combs
• Amplified systems and their applications

Module 11: Final Examination