Summary
The method previously described x) as bilocal perturbation theory is applied here to the calculation of the ensemble averaged acoustical wave propagating through a medium with thermal inhomogeneities and with a turbulent velocity structure. For each of these types of perturbation, described by an appropriate autocorrelation function, a dispersion equation for the acoustic wave is derived and the attenuation coefficient calculated. The question of fluctuations is discussed briefly, and the procedure for carrying the bilocal treatment to a higher order is outlined.
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References
Bourret, R., Bilocal Theory of Randomly Perturbed Fields, Research Report No. 215, Hughes Research Laboratories, Malibu, California, 1961.
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Liebermann, L. N., J. Acoust. Soc. Am.23 (1951) 563.
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Bourret, R.C. The scattering of sound in a turbulent and thermally random medium by the method of bilocal perturbations. Appl. sci. Res. 12, 223–237 (1963). https://doi.org/10.1007/BF03184974
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DOI: https://doi.org/10.1007/BF03184974