Abstract
The solution of the wave equation for a point source in a medium whose velocity of propagation is given by c = c0z/(z2 − a2)1/2 is presented. An integral representation of the solution is obtained paralleling Pekeris [J. Acoust. Soc. Am. 18, 295 (1946)]. An expansion of the integrand into a series of Hankel functions allows the integration to be performed. The solution thus obtained is briefly discussed in the asymptotic limits. (This work was supported by the Bureau of Ordnance, U. S. Navy, under Contract NOrd 12937.)
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