A qualitative approach to inverse scattering theory [electronic resource] / Fioralba Cakoni, David Colton.

A qualitative approach to inverse scattering theory [electronic resource] / Fioralba Cakoni, David Colton.

9781461488279 electronic book
1461488273 electronic book
9781461488262

New York : Springer, 2014.

English

1 online resource (x, 297 pages) : illustrations.

10.1007/978-1-4614-8827-9 doi

QC20.7.S3

515/.353

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the scattering object.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed November 4, 2013).

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v.188. 0066-5452

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