Abstract
A WKB approximation for the range dependent modal group slownesses and dispersions in a range dependent waveguide is derived. The resulting slownesses can be used to synthesize time series in a narrow band or over broader bandwidths by adding narrow band results together coherently. The slownesses themselves are also highly useful intermediate products which help give insight into the speeds with which the modes of a range dependent waveguide propagate. The range dependent modal group slownesses are compared to their adiabatic approximations and conclusions are drawn regarding the relative accuracy of these two approximations for time series synthesis.
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