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It is well accepted by physicists that the Manakov PMD equation is a goodmodel to describe the evolution of nonlinear electric fields in optical fiberswith randomly varying birefringence. In the regime of the diffusionapproximation theory, an effective asymptotic dynamics has recently beenobtained to describe this evolution. This equation is called the stochasticManakov equation. In this article, we propose a semidiscrete version of a CrankNicolson scheme for this limit equation and we analyze the strong error.Allowing sufficient regularity of the initial data, we prove that the numericalscheme has strong order 1/2.

Strong order of convergence of a semidiscrete scheme for the stochastic Manakov equation