D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, vol.12, pp.383-393, 1996.

F. Cakoni and D. Colton, Qualitative Methods In Inverse Scattering Theory, 2006.

L. Bourgeois and E. Lunéville, The linear sampling method in a waveguide: a modal formulation, Inverse Problems, vol.24, p.20, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00876221

L. Bourgeois, F. L. Louër, and E. Lunéville, On the use of Lamb modes in the linear sampling method for elastic waveguides, Inverse Problems, vol.27, p.27, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00849575

, Top left: h " 1 (P " 10) andh " 0.5 (P " 5), exact data. Top right: h " 1 andh " 0.5, noisy data, Figure, vol.12

, Top left: h " 0.5 (P " 5) andh " 1 (P " 10), exact data. Top right: h " 0.5 andh " 1, noisy data, Figure, vol.13

L. Bourgeois and E. Lunéville, On the use of the linear sampling method to identify cracks in elastic waveguides, Inverse Problems, vol.29, p.pp, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00937686

L. Bourgeois and S. Fliss, On the identification of defects in a periodic waveguide from far field data, Inverse Problems, vol.30, p.31, 2014.

V. Baronian, L. Bourgeois, and A. Recoquillay, Imaging an acoustic waveguide from surface data in the time domain, Wave Motion, vol.66, pp.68-87, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01379890

P. Monk and V. Selgas, An inverse acoustic waveguide problem in the time domain, Inverse Problems, vol.32, p.26, 2016.

, Top left: exact data on section ? 0 . Top right: noisy data on section ? 0 . Middle left: exact data on section ? 1 . Middle right: noisy data on section ? 1 . Bottom left: exact data on section ? 2 . Bottom right: noisy data on section ? 2, Data on a single half-waveguide, vol.14

V. Baronian, L. Bourgeois, and B. , Chapuis and A. Recoquillay Linear sampling method applied to non destructive testing of an elastic waveguide: theory, numerics and experiments, Inverse Problems, vol.34, p.34, 2018.

A. Charalambopoulos, D. Gintides, K. Kiriaki, and A. Kirsch, The factorization method for an acoustic wave guide, Mathematical methods in scattering theory and biomedical engineering, pp.120-127, 2006.

C. Tsogka and D. A. , Mitsoudis and S. Papadimitropoulos Selective imaging of extended reflectors in two-dimensional waveguides, SIAM J. Imaging Sci, vol.6, p.4

, Left: exact data on sections ? 0 and ? 1 . Right: noisy data on sections ? 0 and ? 1 . Bottom: data on three halfwaveguides. Left: exact data on sections ? 0 , ? 1 and ? 2 . Right: noisy data on sections ? 0 , ? 1 and ? 2, Top: data on two half-waveguides, vol.15, pp.2714-2739, 2013.

C. Tsogka and D. A. , Mitsoudis and S. Papadimitropoulos Partial-aperture array imaging in acoustic waveguides, Inverse Problems, vol.32, p.31, 2016.

C. Tsogka and D. A. , Mitsoudis and S. Papadimitropoulos Imaging extended reflectors in a terminating waveguide, SIAM J. Imaging Sci, vol.11, pp.1680-1716, 2018.

L. Borcea, F. Cakoni, and S. Meng, A direct approach to imaging in a waveguide with perturbed geometry, J. Comput. Phys, vol.392, pp.556-577, 2019.

L. Borcea and S. Meng, Factorization method versus migration imaging in a waveguide, Inverse Problems, vol.35, p.33, 2019.

L. Borcea and S. Meng, Imaging with electromagnetic waves in terminating waveguides, Inverse Probl. Imaging, vol.10, pp.915-941, 2016.

P. Monk, V. Selgas, and F. Yang, Near-field linear sampling method for an inverse problem in an electromagnetic waveguide, Inverse Problems, vol.35, p.27, 2019.

A. , Bonnet-Bendhia and A. Tillequin A generalized mode matching method for scattering problems with unbounded obstacles, Journal of Computational Acoustics, vol.9, pp.1611-1631, 2001.

L. Bourgeois and E. Lunéville, On the use of sampling methods to identify cracks in acoustic waveguides, Inverse Problems, vol.28, p.pp, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00849558

L. Audibert, A. Girard, and H. Haddar, Identifying defects in an unknown background using differential measurements, Inverse Probl. Imaging, vol.9, pp.625-643, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01110270

L. Bourgeois and E. Lunéville, The linear sampling method in a waveguide: A formulation based on modes, Journal of Physics: Conference Series, vol.135, p.12023, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00873074

D. Colton, M. L. Piana, and R. Potthast, A simple method using Morozov's discrepancy principle for solving inverse scattering problems, Inverse Problems, vol.13, pp.1477-1493, 1997.

, E-mail address: laurent.bourgeois@ensta.fr