Titlebook: Inverse Problems in Scattering; An Introduction G. M. L. Gladwell Book 1993 Springer Science+Business Media Dordrecht 1993 Potential.algori

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978-0-7923-2478-2Springer Science+Business Media Dordrecht 1993

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Inverse Problems in Scattering978-94-011-2046-3Series ISSN 0925-0042 Series E-ISSN 2214-7764

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Layer-Peeling Methods for Discrete Inverse Problems,sturbance as it was transmitted and reflected at discontinuities in the medium. In particular we derived a detailed analysis of a certain kind of medium, a so-called Goupillaud medium. This is a medium with a single system parameter . which is a piecewise constant function of the travel time, having discontinuities at the points, △, 2△, 3△,...

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Some Simple Wave Phenomena,observed as wind passes over water, or through a stand of trees. To understand the ubiquitous nature of waves, consider what happens when we listen to a recorded concert on the radio. The violinist draws a bow across his strings, setting up waves in them; the horn player blows down his instrument, s

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Layer-Peeling Methods for Discrete Inverse Problems,sturbance as it was transmitted and reflected at discontinuities in the medium. In particular we derived a detailed analysis of a certain kind of medium, a so-called Goupillaud medium. This is a medium with a single system parameter . which is a piecewise constant function of the travel time, having

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The Inversion of Discrete Systems Using Non-Causal Solutions,l that a causal solution is one for which the medium is quiescent for . 0, and for which a ‘cause’ at one time and place can produce an ‘effect’ at another place and some later time only if waves have had time to travel from one to the other. In the methods for solving the inverse problem described

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The Inversion of Continuous Systems Using Causal Solutions,e were concerned with various direct problems, either initial-value (i.v.) or initialvalue-boundary-value (i.v.b.v.) problems. In this chapter we will be concerned with inverse problems and will assume that we have boundary data (i.e. data at ξ= 0) that is the result of ‘probing’ an initially quiesc