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We present an efficient three-dimensional coupled-mode model based on the Fourier synthesis technique.In principle,this model is a one-way model,and hence provides satisfactory accuracy for problems where the forward scattering dominates.At the same time,this model provides an efficiency gain of an order of magnitude or more over two-way coupled-mode models.This model can be applied to three-dimensional range-dependent problems with a slowly varying bathymetry or inteal waves.A numerical example of the latter is demonstrated in this work.Comparisons of both accuracy and efficiency between the present model and a benchmark model are also provided.