Abstract
A normal-mode method, suitable for practical calculations of transmission loss, has been developed for the propagation of underwater sound in a channel with range-dependent environmental parameters, by employing an adiabatic separation of the wave equation as suggested by Pierce [J. Acoust. Soc. Am. 37, 19 (1975)]. For non-gradual range dependence, coupled range equations are obtained, and a method for uncoupling these by a unitary transformation is being devised. Arbitrary dependence of the velocity profile on depth and range, and of the boundaries on range, can be treated by subdividing depth and range into segments in which the profile and the eigenvalues of the depth equation, respectively, vary linearly. Airy function solutions are obtained in each segment which are evaluated numerically. Results are illustrated using a parabolic velocity profile which opens up with increasing range, as well as more general, numerically defined profiles. [Supported by the Office of Naval Research, Code 486.]
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