Scattering of acoustic waves by intermittent temperature and velocity fluctuations

The effect of atmospheric turbulent intermittency on acoustical scattering into shadow zones was discussed in a previous paper [D. K. Wilson, J. C. Wyngaard, and D. I. Havelock, J. Acoust. Soc. Am. 99, 3393–3400 (1996)]. Intermittency was incorporated into the classical scattering theory by defining a local mean scattered intensity, Ĩ0, which has a log-normal probability density function (pdf), PĨ0. The pdf PI for the actual scattered intensity I was then determined from an integral equation involving PĨ0. However, the discussion in Wilson et al. considered only intermittency in the velocity field. In this note, the combined effect of intermittency in both the velocity and temperature fields is considered. It is found that inclusion of temperature intermittency does not cause significant deviations from the log-normal pdf for PĨ0. Hence the final results for the scattered intensity pdf PI in Wilson et al. remain valid.