Abstract
A generalized WKB-type approximation is applied to sound propagation in the split-beam sound field to investigate diffraction effects associated with turning-point regions where ordinary WKB or geometrical-optics approximations fail. Transmission and reflection coefficients are obtained. In some regions where asymptotic expansions for the generalized WKB solutions are valid, ray representations can be developed for some of the diffraction effects. Limitations on the validity of these ray representations and the extent of the regions (including the geometric shadow) in which diffracted rays may be introduced are discussed. Simple geometric schemes can, under certain conditions, be introduced relating particular diffracted rays to corresponding geometrical rays.
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