Abstract
An earlier analysis [J. H. Ginsberg, J. Acoust. Soc. Am. 76, 1201–1214 (1984)] of the infinite baffle problem for an axisymmetric harmonic excitation derived a nonlinear King integral describing signal distortion in sound beams. That analysis, which considered only the contribution to the cumulative distortion process associated with secular source terms, agreed with experiments at high frequencies at ranges beyond approximately one quarter the Rayleigh length. However, there was significant discrepancy with measurements very close the transducer face. Such differences will be shown to result from neglecting nonsecular second‐order terms that do not carry into the farfield. In the present work, the nonsecular contribution to the second harmonic is evaluated as a numerical inversion of a multiple integral transform for the second‐order potential. The composite effects of secular distortion, which is calculated using the renormalized King integral, and the nonsecular contribution are calculated. The results obtained from the analytical model compare favorably with previoius nearfield measurements. [Work supported by ONR, Code 425‐UA.]
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