Abstract
The sound field from a point source in a stratified inhomogeneous medium is represented in an integral form in terms of plane wave coefficients of reflection. At sufficiently high frequencies coefficients of reflection can be calculated by means of the WKB method. Then the application of the method of steepest descent gives the ray approximation for the sound pressure. In developing this theory equations of caustics were obtained and sound pressure near caustics and in the neighborhood of a cusps of caustics was determined. The development of the field in a sum of modes [N. A. Haskell, J. Appl. Phys. 22, 157 (1951)] did not appear necessary. Examples are given. The theory of focusing action of stratified media appears to be quite analogous to the theory of focusing by optical systems when aberration is present.
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