Obstacle localization in an homogeneous half-space (Q2747549)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Obstacle localization in an homogeneous half-space |
scientific article; zbMATH DE number 1657927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Obstacle localization in an homogeneous half-space |
scientific article; zbMATH DE number 1657927 |
Statements
Obstacle localization in an homogeneous half-space (English)
0 references
14 October 2001
0 references
Helmholtz equation
0 references
inverse scattering theory
0 references
factorization method
0 references
near field
0 references
far field
0 references
The author extends the factorization method to identify an obstacle \(\Omega\) imbedded in an homogeneous half-space from measurements of either the near field or the far field of the scattered waves. All combinations of boundary conditions on the plane \(x_3 = 0\) and on \(\partial\Omega\) are treated. It is emphasized that no a priori knowledge of the number of components of \(\Omega\) or the kind of boundary condition is needed. This paper is of purely analytical character and contains no numerical results.
0 references
