AN APPROXIMATION PROPERTY OF IMPORTANCE IN INVERSE SCATTERING THEORY

By David Colton, Brian D. Sleeman. Proceedings of the Edinburgh Mathematical Society, 2001

51 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/52819c770b9a1f8e3c10d78fea2815751ab4b740

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Houssem Haddar
2. Fioralba Cakoni
3. Michele Piana
4. David Colton
5. Andreas Kirsch
6. Teemu Tyni
7. Valery Serov

In Mathematical Physics

1. Houssem Haddar
2. Michele Piana
3. Fioralba Cakoni
4. David Colton
5. Andreas Kirsch

In Mechanics of Materials

1. Houssem Haddar
2. Michele Piana
3. Fioralba Cakoni
4. David Colton
5. Andreas Kirsch

Citations in the corpus

• The linear sampling method in inverse electromagnetic scattering theory (2003, background): “that (Bfz)( ˆ x) =− � ∞( ˆ x,z) .F rom [ 22 ] it follows that, for �> 0, there exist saH erglotz wavefunction vgz with kernel gz in L 2(�) such that”
• An application of the reciprocity gap functional to inverse scattering theory (2005, background): “Since k2 is not a Dirichlet eigenvalue for D, it follows from [9] that z can be approximated by a Herglotz wavefunction in H 1/2(∂D), i.”
• The linear sampling method for cracks (2003, methodology): “In [9] and [10] it is shown that a solution of Helmholtz equation in a bounded domain D with connected boundary can be approximated by a Herglotz wavefunction with respect to the H 1(D) norm.”