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Direct image reconstruction of anomalies in a plane via physical optics far field inverse scattering
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The article was published on 1976-01-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Physical optics & Inverse scattering problem.read more
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A survey of the physical optics inverse scattering identity
TL;DR: In this paper, the physical optics approximation is applied to the acoustic and electromagnetic direct scattering integral representation, yielding an inverse scattering identity which relates the characteristic function of a scatterer to the three-dimensional spatial Fourier transform of the augmented far-field scattering amplitude.
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Determination of flaw characteristics from ultrasonic scattering data
J. H. Rose,J. A. Krumhansl +1 more
TL;DR: In this article, an approximate technique for determining the characteristics of flaws in elastic media from a knowledge of the ultrasonic scattering amplitudes is presented, which is rigorously valid in the weak-scattering limit.
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The singular function of a surface and physical optics inverse scattering
Jack K. Cohen,Norman Bleistein +1 more
TL;DR: In this article, the location and the reflection coefficient of a scatterer were recovered using high frequency backscattered data without using the far field approximation, although a separate identity was derived when this approximation was introduced.
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Theoretical considerations for inverse scattering
TL;DR: Inversion theory is a guide for handling inverse problems rather than a set of inversion techniques as mentioned in this paper, and the usual ill-posed character of inverse problems has first to be dealt with by reassessing the concept of solution and by giving a detailed answer to the basic mathematical questions of the solutions existence, uniqueness, construction, stability and approximation.
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Progress on a Mathematical Inversion Technique for Non-Destructive Evaluation
Norman Bleistein,Jack K. Cohen +1 more
TL;DR: In this article, a revised POFFIS formalism was developed in which the surface of the scatterer is directly related to the scattering data, and the computer algorithm was modified (and tested) to process data when the average propagation speed varied with angle.