Introduction --- Interaction of light with linear and nonlinear media.
Light propagation in linear media -- a review.
Classical models of atomic polarizability.
Electromagnetic theory of nonlinear interactions.
Classical models of nonlinear polarization.
Classification of media.
Second order processes
Coupled wave equations for general three-wave mixing.
Energy and momentum conservation, phase matching.
Second harmonic generation
Parametric mixing and oscillation.
Second order susceptibility measurement techniques.
Ultrashort pulse measurement.
Third order processes.
Optical Kerr effect.
Non-degenerate mixing with general beam geometries.
Phase conjugation with degenerate and non-degenerate mixing.
Light-induced grating phenomena.
Harmonic oscillator model.
Spontaneous and stimulated scattering.
Stimulated scattering in optical fibers.
Stimulated Brillouin scattering.
Third order susceptibility measurement techniques.
Nonlinear optics under pulsed excitation.
Motivation and complications of pulsed operation.
Material response times.
Mathematical construction of time-varying polarization amplitudes.
Nonlinear Schrodinger equation.
Self- and cross-phase modulation.
Frequency continuum generation.
Temporal and spatial solitons.
Nonlinear pulse propagation in fibers.
Time-resolved measurements of material properties.