Inverse obstacle scattering with limited-aperture data
| Autor: | Esa Niemi, Samuli Siltanen, Masaru Ikehata |
|---|---|
| Přispěvatelé: | Department of Mathematics and Statistics |
| Rok vydání: | 2012 |
| Předmět: |
Convex hull
Control and Optimization CONVEX-HULL Wave propagation Aperture SAMPLING METHOD education Plane wave Near and far field 01 natural sciences SUPPORT inverse obstacle scattering 111 Mathematics Discrete Mathematics and Combinatorics RECONSTRUCTION 0101 mathematics Mathematics 010102 general mathematics Mathematical analysis Inverse problem HELMHOLTZ-EQUATION 010101 applied mathematics ENCLOSURE METHOD Modeling and Simulation Obstacle NUMERICAL-METHOD Inverse scattering problem FAR-FIELD OPERATOR BOUNDARY MEASUREMENTS Analysis |
| Zdroj: | Inverse Problems & Imaging. 6:77-94 |
| ISSN: | 1930-8345 |
| DOI: | 10.3934/ipi.2012.6.77 |
| Popis: | Inverse obstacle scattering aims to extract information about distant and unknown targets using wave propagation. This study concentrates on a two-dimensional setting using time-harmonic acoustic plane waves as incident fields and taking the obstacles to be sound-hard with smooth or polygonal boundary. Measurement data is simulated by sending one incident wave towards the area of interest and computing the far field pattern (1) on the whole circle of observation directions, (2) only in directions close to backscattering, and (3) only in directions close to forward-scattering. A variant of the enclosure method is introduced, based on applying the far field operator to an explicitly constructed density, yielding information about the convex hull of the obstacle. The numerical evidence presented suggests that the convex hull of obstacles can be approximately recovered from noisy limited-aperture far field data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|