A direct approach to imaging in a waveguide with perturbed geometry
| Autor: | Fioralba Cakoni, Shixu Meng, Liliana Borcea |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Time harmonic Applied Mathematics Direct method Geometry Numerical Analysis (math.NA) 010103 numerical & computational mathematics 01 natural sciences Computer Science Applications 010101 applied mathematics Computational Mathematics Mathematics - Analysis of PDEs Sampling (signal processing) Modeling and Simulation Inverse scattering problem FOS: Mathematics Waveguide (acoustics) Mathematics - Numerical Analysis 0101 mathematics Analysis of PDEs (math.AP) |
| Zdroj: | Journal of Computational Physics. 392:556-577 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2019.04.072 |
| Popis: | We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compactly supported wall deformations. The goal of imaging is to determine these deformations and to identify localized scatterers in the waveguide, using a remote array of sensors that emits time harmonic probing waves and records the echoes. We present a theoretical analysis of the imaging approach and illustrate its performance with numerical simulations. |
| Databáze: | OpenAIRE |
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