Note on a diffraction-amplification problem

Philippe Mounaix, Joel L. Lebowitz

We investigate the solution of the equation \partial_t E(x,t)-iD\partial_x^2 E(x,t)= λ|S(x,t)|^2 E(x,t)$, for x in a circle and S(x,t) a Gaussian stochastic field with a covariance…