Abstract
In a previous presentation [J. Acoust. Soc. Am. Suppl. 1 75, S92 (1984)], a nonuniformly accurate expression for the velocity potential was derived using a singular perturbation procedure. The linearized signal was represented by a dual King integral, and the cumulative growth was evaluated asymptotically. In this paper, the renormalization version of the method of strained coordinates is employed to annihilate the secular terms. The result is a uniformly valid expression for the acoustic pressure at all locations preceding the formation of a shock. Additional discussion is devoted to a simpler model that interfaces the dual frequency King integral in the nearfield with nonlinear spherical distortion in the farfield. The results obtained from both descriptions in the case of a parametric array (proximate primary frequencies) agree better than earlier theories with previous measurements performed for a wide range of parameters. [Work supported by ONR, Code 425‐UA.]
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
