Abstract
Simple ray-approximation formulas are obtained for the mode amplitudes in a waveguide with range-dependent parameters. The idea of the proposed approach is based on the mode expansion of the complex field amplitude determined using the geometrical-optics approximation. A specific example of calculating mode amplitudes is analyzed for a deep-water sound channel with a sound speed profile nonadiabatically varying with distance. The results of the calculation are compared with the numerical solution obtained for the same problem by the parabolic equation method.
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