Abstract
There are two basic problems associated with performing high‐frequency deep‐water normal mode calculations. First, in deep water the number of modes is approximately of the order of the frequency, and lengthy calculations must therefore be performed. The second problem is that numerical instabilities occur because of the evanescent nature of the lower modes which are “trapped” in the deep sound channel. Because of these problems, normal mode calculations have typically been done only for frequencies less than a few hundred hertz in deep water. A method has been developed to perform such calculations in the multi‐kilohertz region in deep water of the order of 5 km. The results from this technique have been favorably compared with infinite frequency solutions. The wave theory calculations presented, therefore, provide a set of test cases for possible future numerically more efficient approximations.
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