43 citations · 146 across the 26 of their papers we have counts for
13 papers · 1 filter
Examples of non-scattering inhomogeneities
Lucas Chesnel, Houssem Haddar, Hongjie Li +1
We consider the scattering of waves by a penetrable inclusion embedded in some reference medium. We exhibit examples of materials and geometries for which non-scattering frequencie…
Ultrasonic imaging in highly heterogeneous backgrounds
Fatemeh Pourahmadian, Houssem Haddar
This work formally investigates the differential evolution indicators as a tool for ultrasonic tracking of elastic transformation and fracturing in randomly heterogeneous solids. W…
Stability estimate for an inverse problem for the time harmonic magnetic Schrödinger operator from the near and far field pattern
Mourad Bellassoued, Houssem Haddar, Amal Labidi
We derive conditional stability estimates for inverse scattering problems related to time harmonic magnetic Schrödinger equation. We prove logarithmic type estimates for retrieving…
Qualitative indicator functions for imaging crack networks using acoustic waves
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar +1
We consider the problem of imaging a crack network embedded in some homogeneous background from measured multi-static far field data generated by acoustic plane waves. We propose t…
Inside-outside duality with artificial backgrounds
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar
We use the inside-outside duality approach proposed by Kirsch-Lechleiter to identify transmission eigenvalues associated with artificial backgrounds. We prove that for well chosen…
Transmission eigenvalues with artificial background for explicit material index identification
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar
We are interested in the problem of retrieving information on the refractive index of a penetrable inclusion embedded in a reference medium from farfield data associated with i…