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Nonlinear Ultrasound Imaging Modeled by a Westervelt Equation

We consider the ultrasound imaging problem governed by a nonlinear wave equation of Westervelt type with variable wave speed. We show that the coefficient of nonlinearity can be recovered uniquely from knowledge of the Dirichlet-to-Neumann map. Our proof is based on a second order linearization and the use of Gaussian beam solutions to reduce the problem to the inversion of a weighted geodesic ray transform. We propose an inversion algorithm and report the results of a numerical implementation to solve the nonlinear ultrasound imaging problem in a transmission setting in the frequency domain.

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Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.82 No.2 March-April 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 408-426

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

GAUSSIAN BEAMS
ULTRASOUND IMAGING
NONLINEAR ACOUSTIC WAVES
WESTERVELT EQUATION

Info Detail Spesifik

https://doi.org/10.1137/21M1431813

Pernyataan Tanggungjawab

Sebastian Acosta, Gunther Uhlmann, Jian Zhai

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