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This lecture covers the dispersion relation in anisotropic media, focusing on the k surface and dispersion in uniaxial crystals. It explains the refractive indices of various crystals and the simplification of dispersion relations. The lecture also discusses the double refraction and beam walk-off phenomena, as well as the applications of birefringent crystals like Nicol prisms. The instructor delves into the general formalism of nonlinear susceptibility and optical rectification in the context of nonlinear optics. Various concepts related to wave propagation, polarization, and index ellipsoid are explored.