A Stochastic Differential Equation For Laser Propagation In Medias With Random Gaussian Absorption Coefficients: A Modified Beer's Law Solution Via A Van Kampen Cluster Expansion

Steven D Miller

Let $\mathbb{I}\mathbb{D}=[0,\mathrm{L}]\subset {\mathbb{R}}^{+}$ be a slab geometry with boundaries $z=0$ and $z=\mathrm{L}$. A laser beam with a flat incident intensity ${\psi }_o$ enters the…