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Fixed-energy inverse scattering

โœ Scribed by A.G. Ramm

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
257 KB
Volume
69
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Inverse scattering with fixed-energy dat
Inverse scattering with fixed-energy data
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 295 KB

## A new inversion formula is obtained for the 3D inverse scattering problem with fixedenergy exact data (IP). A new stability estimate and an inversion formula are obtained for the above problem with noisy, fixed-energy data. An algorithm is described for solving IP.

Inverse scattering problem with data at
Inverse scattering problem with data at fixed energy and fixed incident direction
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

Let A q (ฮฑ , ฮฑ, k) be the scattering amplitude, corresponding to a local potential q(x), x โˆˆ R 3 , q(x) = 0 for |x| > a, where a > 0 is an arbitrary large fixed number, ฮฑ , ฮฑ โˆˆ S 2 are unit vectors, S 2 is the unit sphere in R 3 , ฮฑ is the direction of the incident wave, k 2 > 0 is the energy. We pr