Abstract
A method is presented for the solution of coupled-mode equations for sound propagation in a range-dependent waveguide. By following a new approach recently introduced in nuclear theory, the coupled-mode equations are modified and then solved using the Lanczos method. Calculations are made for isovelocity waveguides with rigid bell-shaped bathymetries having large slopes. Convergence properties and computer CPU times are examined as a function of the dimension of the coupled-mode equations and the nature of the coupling. The efficiency of the approach is shown to increase as the dimension of the coupled-mode equations increases.
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