Seismic and medical ultrasound imaging of velocity and density variations by nonlinear vectorial inverse scattering

Seismic and medical ultrasound imaging of velocity and density variations by nonlinear vectorial inverse scattering

Jakobsen, Morten (University of Bergen)
Xiang, Kui (University of Bergen)
van Dongen, K.W.A. (TU Delft ImPhys/Medical Imaging; TU Delft ImPhys/Van Dongen goup)

2023

We present an iterative nonlinear inverse scattering algorithm for high-resolution acoustic imaging of density and velocity variations. To solve the multi-parameter nonlinear direct scattering problem, the acoustic wave equation for inhomogeneous media in the frequency domain is transformed into a vectorial integral equation of the Lippmann-Schwinger type for the combined pressure and pressure-gradient field. To solve the multi-parameter nonlinear inverse scattering problem, we use the Newton-Kantorovich method in conjunction with matrix-free representations of the Fréchet derivative operators and their adjoints. The approximate Hessian information that is accounted for in our iterative solution of the (nonlinear) multi-parameter inverse scattering problem is essential for the mitigation of multi-parameter cross talk effects. Numerical examples related to seismic and medical ultrasound breast imaging illustrate the performance of the new algorithm for multi-parameter acoustic imaging.

http://resolver.tudelft.nl/uuid:2f8f808a-0826-44a1-86cd-0fae42a57105

https://doi.org/10.1121/10.0019563

2023-12-01

0001-4966

The Journal of the Acoustical Society of America, 153 (5), 3151-3164

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Institutional Repository

journal article

© 2023 Morten Jakobsen, Kui Xiang, K.W.A. van Dongen