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Linear Sampling Method applied to Non Destructive Testing of an elastic waveguide: theory, numerics and experiments
- Source :
- Inverse Problems, Inverse Problems, IOP Publishing, 2018, ⟨10.1088/1361-6420/aac21e⟩, Inverse Problems, 2018, ⟨10.1088/1361-6420/aac21e⟩, HAL
- Publication Year :
- 2018
- Publisher :
- HAL CCSD, 2018.
-
Abstract
- International audience; This paper presents an application of the Linear Sampling Method to ultrasonic Non Destructive Testing of an elastic waveguide. In particular, the NDT context implies that both the solicitations and the measurements are located on the surface of the waveguide and are given in the time domain. Our strategy consists in using a modal formulation of the Linear Sampling Method at multiple frequencies, such modal formulation being justified theoretically in [1] for rigid obstacles and in [2] for cracks. Our strategy requires the inversion of some emission and reception matrices which deserve some special attention due to potential ill-conditioning. The feasibility of our method is proved with the help of artificial data as well as real data.
- Subjects :
- Inverse scattering problem
Linear Sampling Method
Acoustics
Experimental data
Lamb modes
01 natural sciences
Theoretical Computer Science
Elastic waveguide
Nondestructive testing
0103 physical sciences
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Time domain
0101 mathematics
[MATH]Mathematics [math]
010301 acoustics
Mathematical Physics
Mathematics
business.industry
Applied Mathematics
Inversion (meteorology)
Computer Science Applications
010101 applied mathematics
Modal
Signal Processing
Ultrasonic sensor
business
Subjects
Details
- Language :
- English
- ISSN :
- 02665611 and 13616420
- Database :
- OpenAIRE
- Journal :
- Inverse Problems, Inverse Problems, IOP Publishing, 2018, ⟨10.1088/1361-6420/aac21e⟩, Inverse Problems, 2018, ⟨10.1088/1361-6420/aac21e⟩, HAL
- Accession number :
- edsair.doi.dedup.....a252a8ffcbb4a2a468decdcb7bfadcc2