Distorted Born diffraction tomography: limits and applications to inverse the ultrasonic field scattered by an non-circular infinite elastic tube

Philippe Lasaygues (1) , Régine Guillermin (1) , Jean-Pierre Lefebvre (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

This study focuses on the application of ultrasonic diffraction tomography to noncircular 2D-cylindrical objects immersed in an infinite fluid. The distorted Born iterative method used to solve the inverse scattering problem be longs to the class of algebraic reconstruction algorithms. This method was developed to increase the order of application of the Born approximation (in the case of weakly-contrasted media) to higher orders. This yields quantitative in formation about the scatterer, such as the speed of sound and the attenuation. Quantitative ultrasonic imaging techniques of this kind are of great potential value in fields such as medicine, under water acoustics and non destructive testing.

Mots clés: ultrasonic tomography; Born approximation; diffracted field; distorted Born iterative method; noncircular elastic tube; quantitative imaging; ultrasonic tomography.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Philippe Lasaygues, Régine Guillermin, Jean-Pierre Lefebvre. Distorted Born diffraction tomography: limits and applications to inverse the ultrasonic field scattered by an non-circular infinite elastic tube. Ultrasonic Imaging, 2007, 28, pp.211-229. ⟨hal-00440686⟩