Abstract
A method due to Westervelt [Proceedings of the Third International Congress on Acoustics, Stuttgart 1959 (Elsevier, Amsterdam, 1961), Vol. 1, pp. 316–321] is used to describe the fundamental frequency component of an initially sinusoidal finite-amplitude plane wave. The result, expressed in terms of the extra loss (in decibels) introduced by nonlinearity, is given as 10 log10[1 + Γ2(1 − e−2σ/Γ)2/16] where Γ is the acoustic Reynold's number and σ is range normalized to the shock formation distance. This relation is shown to lie within 1 dB of Blackstock's results obtained from Burgers' equation [D. T. Blackstock, J. Acoust. Soc. Am. 36, 534–542 (1964)].
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