Holographic Reconstruction Is Usually A Poor Solution To The Inverse Scattering Problem: A Comparison Between The Bojarski Exact Inverse Scattering Theory And Holography As Applied To The Holographic Radio Camera
W. Ross Stone
Abstract
W. Ross Stone
Abstract
This paper has two purposes. The first is to report experimental results of an application of computer-reconstructed, radio-wave holography, for imaging the spatial structure of the ionosphere, and to briefly discuss their implications. The second is to point out that most imaging applications are really inverse scattering problems, and that holographic reconstruction is usually a poor solution to such problems. The correct solution to inverse scattering problems is presented, and the criteria which must be satisfied for holographic reconstruction to be an adequate approximation to this solution are discussed.
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This paper has two purposes. The first is to report experimental results of an application of computer-reconstructed, radio-wave holography, for imaging the spatial structure of the ionosphere, and to briefly discuss their implications. The second is to point out that most imaging applications are really inverse scattering problems, and that holographic reconstruction is usually a poor solution to such problems. The correct solution to inverse scattering problems is presented, and the criteria which must be satisfied for holographic reconstruction to be an adequate approximation to this solution are discussed.
Key concepts: Holography, Inverse scattering problem, Inverse problem, Scattering, Inverse, Iterative reconstruction, Optics, Point (geometry)