Abstract
In earlier investigations, “modified ray theory” has been developed using a generalized version of the WKB or geometrical-optics approximation based on Weber functions for solutions of the scalar wave equation for the “two-turning-point” unbounded sound-propagation problem. This wavelength-dependent theory provides a ray representation in reflection and transmission regions for some of the diffraction phenomena that arise in a stratified medium. In the present paper, both Airy and Weber functions are used as a basis for the generalized WKB procedure to carry out analysis for various classes of sound-speed profiles, and the development of modified ray theory is extended to include the effect of boundaries of a type pertinent for underwater sound propagation.
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