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This lecture covers the fundamentals of nonlinear optics, focusing on the interaction between light and matter. Topics include second order effects like optical rectification and the model of the anharmonic oscillator, as well as third order effects such as the optical Kerr effect. The lecture explores concepts like second harmonic generation, phase modulation, and frequency conversion processes. It also delves into the principles of phase conjugation, holography, and the Manley-Rowe relation. Additionally, the self-focusing Kerr effect and self-phase modulation effects are discussed in the context of nonlinear optical phenomena.