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In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces.

As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory.


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The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.

He has been a member of the Gottingen Academy of Sciences since and Professor Emeritus since He is the author or coauthor of five books. Inverse Acoustic and Electromagnetic Scattering Theory.

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Inverse Acoustic and Electromagnetic Scattering Theory | David Colton | Springer

David Colton , Rainer Kress. Chapter 2 The Helmholtz Equation. The phrase "inverse crime" has been used to describe this. This phrase was in common use when I first became interested in these problems. I'd be interested in any earlier uses of the phrase. The term inverse crime for a numerical test of a parameter identification method that uses data contained in the range of the discrete!

From what I have heard this was before my time , he coined this term in one of his talks; the first time it is found in print seems to be indeed in his book [1] on page in the current, third, edition. This is in fact the usual reference given when people feel they need to give one for this concept.

Inverse Acoustic and Electromagnetic Scattering Theory

I've also sometimes seen citations to [2], where the term is used frequently albeit in a slightly different context but with the same general meaning ; the authors also attribute it to Rainer Kress. Berlin: Springer-Verlag.

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Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences)

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Christian Clason Brian Borchers Brian Borchers I believe he first used it in one of his talks, but the book seems to be the first time it was mentioned in print.