### ASA 125th Meeting Ottawa 1993 May

## 5pPA4. Wave scattering from a thin random fluid layer.

**Yuan Zhang
**

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Richard L. Weaver
**

**
**
*Dept. of Theor. and Appl. Mech., Univ. of Illinois, Talbot Lab., 104 South
Wright St., Urbana, IL 61801
*

*
*
The problem of a plane harmonic wave obliquely incident from a homogeneous
ideal fluid space upon a random fluid layer is considered. The thin layer is
taken to have properties that vary randomly only in the in-plane directions. A
first Born approximation is used and the average intensity of the incoherent
part of the scattered wave is found to be proportional to the two-dimensional
spatial Fourier transform of the auto- and cross-covariance functions of the
layer, within the confines of the validity of the first Born approximation.
Therefore, the inverse scattering problems may be straightforward, provided the
necessary experimental data of the incoherent wave can be found. A sufficient
condition is also given to estimate the range in which the second-order term in
the Born series can be ignored. [Work supported by the National Science
Foundation Solid Mechanics Program, Grant No. MSM-91-14360.]