TY - JOUR
T1 - Numerical modeling of ultrasound propagation in weakly heterogeneous media using a mixed-domain method
AU - Gu, Juanjuan
AU - Jing, Yun
N1 - Funding Information:
Manuscript received January 20, 2018; accepted April 16, 2018. Date of publication April 20, 2018; date of current version June 26, 2018. This work was supported in part by the U.S. National Institutes of Health under Grant R01EB025205. The work of J. Gu was supported by a fellowship from the China Scholarship Council. (Corresponding author: Yun Jing.) The authors are with the Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695 USA (e-mail: yjing2. . u.edu). Digital Object Identifier 10.1109/TUFFC.2018.2828316
Publisher Copyright:
© 1986-2012 IEEE.
PY - 2018/7
Y1 - 2018/7
N2 - A mixed-domain method (MDM) is presented in this paper for modeling one-way linear/nonlinear wave propagation in biological tissue with arbitrary heterogeneities, in which sound speed, density, attenuation coefficients, and nonlinear coefficients are all spatial varying functions. The present method is based on solving an integral equation derived from a Westervelt-like equation. One-dimensional problems are first studied to verify the MDM and to reveal its limitations. It is shown that this method is accurate for cases with small variation of sound speed. A 2-D case is further studied with focused ultrasound beams to validate the application of the method in the medical field. Results from the MATLAB toolbox k-Wave are used as the benchmark. Normalized root-mean-square (rms) error estimated at the focus of the transducer is 0.0133 when the coarsest mesh (1/3 of the wavelength) is used in the MDM. Fundamental and second-harmonic fields throughout the considered computational domains are compared and good agreement is observed. Overall, this paper demonstrates that the MDM is a computationally efficient and accurate method when used to model wave propagation in biological tissue with relatively weak heterogeneities.
AB - A mixed-domain method (MDM) is presented in this paper for modeling one-way linear/nonlinear wave propagation in biological tissue with arbitrary heterogeneities, in which sound speed, density, attenuation coefficients, and nonlinear coefficients are all spatial varying functions. The present method is based on solving an integral equation derived from a Westervelt-like equation. One-dimensional problems are first studied to verify the MDM and to reveal its limitations. It is shown that this method is accurate for cases with small variation of sound speed. A 2-D case is further studied with focused ultrasound beams to validate the application of the method in the medical field. Results from the MATLAB toolbox k-Wave are used as the benchmark. Normalized root-mean-square (rms) error estimated at the focus of the transducer is 0.0133 when the coarsest mesh (1/3 of the wavelength) is used in the MDM. Fundamental and second-harmonic fields throughout the considered computational domains are compared and good agreement is observed. Overall, this paper demonstrates that the MDM is a computationally efficient and accurate method when used to model wave propagation in biological tissue with relatively weak heterogeneities.
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U2 - 10.1109/TUFFC.2018.2828316
DO - 10.1109/TUFFC.2018.2828316
M3 - Article
C2 - 29993378
AN - SCOPUS:85045761751
SN - 0885-3010
VL - 65
SP - 1258
EP - 1267
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 7
ER -