Imaging an acoustic waveguide from surface data in the time domain

• Published in: Wave motion Vol. 66; pp. 68 - 87
• Main Authors: Baronian, Vahan, Bourgeois, Laurent, Recoquillay, Arnaud
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-11-2016; Elsevier
• Subjects: Acoustic waveguide; Acoustic waveguides; Boundaries; Impact analysis; Incident waves; Inverse scattering problem; Linear Sampling Method; Mathematical models; Mathematics; Receivers; Surface data; Time domain; Wave motion; Surface data; Time domain; Inverse scattering problem; Linear Sampling Method; Acoustic waveguide
• ISSN: 0165-2125; 1878-433X
• DOI: 10.1016/j.wavemoti.2016.05.006

This paper deals with an inverse scattering problem in an acoustic waveguide. The data consist of time domain signals given by sources and receivers located on the boundary of the waveguide. After transforming the data to the frequency domain, the obstacle is then recovered by using a modal formulation of the Linear Sampling Method. The impact of many parameters are analyzed, such as the numbers of sources/receivers and the distance between them, the time shape of the incident wave and the number and the values of the frequencies that are used. Some numerical experiments illustrate such analysis.
•Adapting the sampling methods introduced by Colton and Kirsch (1996) to image an acoustic waveguide with the help of time domain data.•Exploiting the particular geometry of the waveguide to derive a modal approach of the Linear Sampling Method.•Developing a rigorous method to optimize the sources and receivers on the boundary of the waveguide.