  We study the Cauchy problem for a semilinear stochastic Maxwell equation with
Kerr-type nonlinearity and a retarded material law. We show existence and
uniqueness of strong solutions using a refined Faedo-Galerkin method and
spectral multiplier theorems for the Hodge-Laplacian. We also make use of a
rescaling transformation that reduces the problem to an equation with additive
noise to get an appropriate a priori estimate for the solution.
