The inverse medium (or inhomogeneous medium remote probing) problem and a closed-form inverse scattering solution to the medium synthesis problem
Article first published online: 7 DEC 2012
Copyright 1981 by the American Geophysical Union.
Volume 16, Issue 6, pages 1029–1035, November-December 1981
How to Cite
1981), The inverse medium (or inhomogeneous medium remote probing) problem and a closed-form inverse scattering solution to the medium synthesis problem, Radio Sci., 16(6), 1029–1035, doi:10.1029/RS016i006p01029.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 18 FEB 1981
- Manuscript Received: 5 NOV 1980
The exact inverse scattering theory of Bojarski is reviewed. It is shown how this theory can be applied to the problem of determining the generalized refractive index distribution of an inhomogeneous medium from measurements of the fields scattered by the medium. Questions of uniqueness, incomplete knowledge of the measured fields, and noisy measurements are discussed. The relationship between holography and inverse scattering is examined. The conditions under which holography can yield information about a scatterer, and the amount of information obtainable, are derived. The exact theory also applies to the general class of medium synthesis problems. An extension of the theory is presented which provides an exact, closed-form solution to a wide class of synthesis problems.