We consider the problem of tracing stochastic rays in an ocean waveguide. The medium’s mean-value speed of propagation is assumed to be perturbed by a white-noise-type term. We formulate a perturbed eikonal equation for this random problem, the formulation being within the framework of stochastic optimal control. This equation is the basis for obtaining an explicit approximate representation for the angle of the stochastic rays which traces their trajectories. It also indicates the deviations induced by the random inhomogeneities from the free-space geodesic path of propagation, as well as the appropriate renormalization of the speed of propagation.
© 1976 Optical Society of America
Edmond Ghandour, "Stochastic rays in a waveguide," J. Opt. Soc. Am. 66, 893-896 (1976)