Abstract
We consider the inverse scattering problem for the Helmholtz equation determining the unknown sound-soft obstacle for a fixed wavenumber k > 0. The far-field pattern for the translation of a connected bounded obstacle is represented for the one fixed reference obstacle. Using this representation, we establish Lipschitz stability of the recovery of the translated location from knowledge of the far-field pattern for one incident plane wave. Lipschitz stability estimates for balls in ℝ3 are also obtained from two incident plane waves and far-field patterns.
| Original language | English |
|---|---|
| Pages (from-to) | 293-301 |
| Number of pages | 9 |
| Journal | Inverse Problems |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2000 Apr |
| Event | 1st World Congress on Industrial Process Tomography - Buxton, United Kingdom Duration: 1999 Apr 14 → 1999 Apr 17 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics