Inversion Formulas in Inverse Scattering

Clifford J. Nolan

doi:10.1007/978-3-540-70529-1_158

Inversion Formulas in Inverse Scattering

Clifford J. Nolan

Department of Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We survey some important inversion formulas in inverse scattering with a particular emphasis on those having their roots in the Radon transform. The history of the latter transform and its inversion spans approximately a century. While the Radon transform had a modest beginning, it now forms a cornerstone of modern-day medical imaging, nondestructive testing of materials, etc. It is therefore fitting that we collect inversion formulas from diverse sources together in this article.

Original language	English
Title of host publication	Encyclopedia of Applied and Computational Mathematics
Publisher	Springer Science+Business Media
Pages	746-751
Number of pages	6
ISBN (Electronic)	9783540705291
ISBN (Print)	9783540705284
DOIs	https://doi.org/10.1007/978-3-540-70529-1_158
Publication status	Published - 1 Jan 2015

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10.1007/978-3-540-70529-1_158

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AB - We survey some important inversion formulas in inverse scattering with a particular emphasis on those having their roots in the Radon transform. The history of the latter transform and its inversion spans approximately a century. While the Radon transform had a modest beginning, it now forms a cornerstone of modern-day medical imaging, nondestructive testing of materials, etc. It is therefore fitting that we collect inversion formulas from diverse sources together in this article.

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Inversion Formulas in Inverse Scattering

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