Nonlinear Optics (50 points) The equations of motion describing nonlinear coupling of three plain waves in a lossless χ(2) medium are given in the slowly-varying envelope approximation as (1) (2) (3) where ωj and nj are the angular frequency and refractive index, respectively, of jth wave (j = 1,2,3). K is the effective second-order susceptibility. […]