Abstract
An analysis of a perturbed idealized cyclonic mesoscale eddy is performed. Included are random perturbations from perfectly circular streamlines and random perturbations in current magnitude. The random current fluctuations are required to satisfy conservation of mass. Short-range acoustic transmissions through the perturbed eddy are considered, and an approximate solution of the ray equations is found. An approximation for ray travel times is developed in terms of the horizontally averaged, source–receiver current component, and travel-time statistics are investigated. Travel times over different ray paths are nearly perfectly correlated, implying that current perturbations can have significant effects on total-field phase, but have little effect on total-field intensity. Statistics of the horizontally averaged current components are analyzed and their effects on travel times and acoustic phase are determined for various source and receiver locations in the eddy. Source–receiver orientation is shown to be crucial in determining current effects on both the mean and the standard deviation of phase.
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