Plasma Instabilities: Resonant Three Wave Coupling

This lecture delves into the mechanism of resonant three wave coupling through the illustration of Stimulated Raman Scattering in a non-magnetized plasma. The instructor derives model equations for light waves and Electron Plasma Waves, emphasizing the essential non-linear coupling terms. The development of a parametric instability and the conditions for efficient energy transfer among the waves are explored. The lecture also discusses the solutions to constraints defined by dispersion relations and matching conditions in one and three dimensions.