A model inversion framework is proposed for the recovery of the depth profile of a rough surface. A broadband sound source is placed above the surface of interest and the scattered sound pressure is measured at a microphone array. The problem is modelled analytically using the Kirchhoff approximation, which provides a computationally efficient forward model, with reasonable accuracy at high frequencies or in the far field. The inverse problem is formulated in a statistical sense within the Bayesian framework and sampled using a Markov chain Monte Carlo algorithm. In order to shorten the burn-in sampling phase, an initial solution obtained by deterministic optimisation is used. Special attention is devoted to modelling the smoothness of the surface using a prior probability distribution. The procedure is demonstrated experimentally on a surface with one-dimensional roughness.

A statistical inverse method for the reconstruction of rough surfaces from acoustic scattering / Cuenca, J.; Lähivaara, T.; Johnson, M. D.; Dolcetti, G.; Alkmim, M.; De Ryck, L.; Krynkin, A.. - In: PROCEEDINGS OF FORUM ACUSTICUM. - ISSN 2221-3767. - (2023). (Intervento presentato al convegno 10th Convention of the European Acoustics Association, EAA 2023 tenutosi a Torino, Italy nel September 11 - 15, 2023) [10.61782/fa.2023.1288].

A statistical inverse method for the reconstruction of rough surfaces from acoustic scattering

Dolcetti G.;
2023-01-01

Abstract

A model inversion framework is proposed for the recovery of the depth profile of a rough surface. A broadband sound source is placed above the surface of interest and the scattered sound pressure is measured at a microphone array. The problem is modelled analytically using the Kirchhoff approximation, which provides a computationally efficient forward model, with reasonable accuracy at high frequencies or in the far field. The inverse problem is formulated in a statistical sense within the Bayesian framework and sampled using a Markov chain Monte Carlo algorithm. In order to shorten the burn-in sampling phase, an initial solution obtained by deterministic optimisation is used. Special attention is devoted to modelling the smoothness of the surface using a prior probability distribution. The procedure is demonstrated experimentally on a surface with one-dimensional roughness.
2023
Proceedings of the 10th Convention of the European Acoustics Association, Forum Acusticum 2023. Politecnico di Torino, Torino, Italy. September 11 - 15, 2023
Torino
European Acoustics Association, EAA
978-88-88942-67-4
A statistical inverse method for the reconstruction of rough surfaces from acoustic scattering / Cuenca, J.; Lähivaara, T.; Johnson, M. D.; Dolcetti, G.; Alkmim, M.; De Ryck, L.; Krynkin, A.. - In: PROCEEDINGS OF FORUM ACUSTICUM. - ISSN 2221-3767. - (2023). (Intervento presentato al convegno 10th Convention of the European Acoustics Association, EAA 2023 tenutosi a Torino, Italy nel September 11 - 15, 2023) [10.61782/fa.2023.1288].
Cuenca, J.; Lähivaara, T.; Johnson, M. D.; Dolcetti, G.; Alkmim, M.; De Ryck, L.; Krynkin, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/440910
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