Transient Acoustic Wave Propagation in an Epstein Duct.
Technical summary rept.,
UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS
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Transient acoustic wave propagation is analyzed for the case of an unlimited plane-stratified fluid having constant density and sound speed cy at depth y given by the Epstein profile 1cy-squared K sech-squared yH L tanh yH M. The acoustic potential is a solution of the wave equation Dt-squared u - C-squared y D1-squared u D2-squared u Dy-squared u ft,x,y where x x1,x2 are horizontal coordinates and ft,x,y characterizes the wave sources. The principal results of the analysis show that u is the sum of a free component, which behaves like a diverging spherical wave for large t, and a guided component which is approximately localized in a region abs. val. y-y sub 0 or h and propagates outward in horizontal planes like a diverging cylindrical wave. Author