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Inverse scattering with fixed-energy data

โœ Scribed by A.G. Ramm


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
295 KB
Volume
5
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


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.


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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

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