Abstract
We introduce the scattering matrices for the two-dimensional scattering problem for the Helmholtz equation. Naturally connected with the far-field scattering amplitude, the scattering matrices provide a forward model which governs the behaviour of the scattering process at any given frequency, and which is in turn described by a system of ordinary differential equations. The latter can be solved numerically in a stable manner and with arbitrary precision. The scattering matrices possess a rich analytical structure, which makes them an effective tool for the inverse scattering both analytically and numerically.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Inverse Problems |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1997 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics