A Quantitative Study on the Cycle Length of Refracted Rays Affected By Ocean Eddies

A local linear layered (LLL) model is proposed in this paper and the underwater sound channel is described by a segmental linear function. Taking advantage of the LLL model, cycle length of refracted rays can be derived as an explicit formula and the factors that could affect cycle length can be reduced to several parameters with intuitive physical meanings. Numerical simulations have shown that the results of the formula agree well with Bellhop.