## 2pPAb10. Effects of wind velocity fluctuations on the statistical moments of plane and spherical sound waves in the turbulent atmosphere with the Gaussian correlation function of wind velocity fluctuations.

### Session: Tuesday Afternoon, May 14

### Time: 3:45

**Author: V. E. Ostashev**

**Author: G. Goedecke**

**Location: Dept. of Phys., New Mexico State Univ., Las Cruces, NM 88003-8001**

**Author: John M. Noble**

**Location: U.S. Army Res. Lab., White Sands Missile Range, NM 88002**

**Abstract:**

It is quite often assumed in the theories of waves in random media that
medium inhomogeneities have a Gaussian correlation function. Equations for the
main statistical moments of plane and spherical sound waves propagating in a
medium with temperature fluctuations are well known in the literature. Among
these statistical moments are the following: the mean sound field, the variances
and correlation functions of log-amplitude and phase fluctuations, and the
transverse coherence function. The present paper deals with a derivation of
equations for these statistical moments for the case of plane and spherical wave
propagation in the atmosphere with wind velocity fluctuations. It is shown that
the derived equations can differ not only quantitatively but also qualitatively
from analogous equations for the case of sound propagation in the atmosphere
with temperature fluctuations even if the wind velocity and temperature
fluctuations make the same contributions to the variance of the acoustical
refractive-index fluctuations. The results obtained are generalized to the case
of sound propagation in an arbitrary medium (for example, for sound propagation
in the ocean with current fluctuations). [This material is based upon Work
supported by the U.S. Army Research Office under Contract No. DAAH04-95-1-0593.]

from ASA 131st Meeting, Indianapolis, May 1996