The problem of a plane wave obliquely incident from a homogeneous ideal fluid upon a random fluid layer is considered. Expressions for the diffusely backscattered intensity is derived. The thin layer is taken to have properties which vary only in the two in-plane directions. A first Born approximation is used and the average intensity of the incoherent part of the backscattered wave is found to be proportional to the two-dimensional spatial Fourier transform of the auto- and crosscovariance functions of the layer. Within the confines of the validity of the first Born approximation, therefore, the inverse scattering problem may be straightforward, provided the necessary experimental data of the incoherent wave can be obtained. Also given in this study is a sufficient condition to estimate the range in which the second order term in the Born series can be neglected.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 741
1993-6039
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112432
Sponsor(s)/Grant Number(s)
National Science Foundation 93/12
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
