TY - JOUR
T1 - Simulation of the Second-Harmonic Ultrasound Field in Heterogeneous Soft Tissue Using a Mixed-Domain Method
AU - Gu, Juanjuan
AU - Jing, Yun
N1 - Funding Information:
Manuscript received November 21, 2018; accepted January 9, 2019. Date of publication January 14, 2019; date of current version March 26, 2019. This work was supported by the U.S. National Institutes of Health under Grant R01EB025205. The work of J. Gu was supported by 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@ncsu.edu). Digital Object Identifier 10.1109/TUFFC.2019.2892753
Publisher Copyright:
© 1986-2012 IEEE.
PY - 2019/4
Y1 - 2019/4
N2 - A mixed-domain method (MDM) dubbed frequency-specific MDM (FSMDM) is introduced for the simulation of the second-harmonic ultrasound field in weakly heterogeneous media. The governing equation for the second harmonics is derived based on the quasi-linear theory. The speed of sound, nonlinear coefficient, and attenuation coefficient are all spatially varying functions in the equation. The fundamental frequency pressure field is first solved by the FSMDM and it is subsequently used as the source term for the second-harmonics equation. This equation can be again solved by the FSMDM to rapidly obtain the second-harmonic pressure field. Five 2-D cases, including one with a realistic human tissue map, are studied to systematically verify the proposed method. Results from the previously developed transient MDM are used as the benchmark solutions. Comparisons show that the two methods give similar results for all cases. More importantly, the FSMDM has a crucial advantage over the transient MDM in that it can be two orders of magnitude faster.
AB - A mixed-domain method (MDM) dubbed frequency-specific MDM (FSMDM) is introduced for the simulation of the second-harmonic ultrasound field in weakly heterogeneous media. The governing equation for the second harmonics is derived based on the quasi-linear theory. The speed of sound, nonlinear coefficient, and attenuation coefficient are all spatially varying functions in the equation. The fundamental frequency pressure field is first solved by the FSMDM and it is subsequently used as the source term for the second-harmonics equation. This equation can be again solved by the FSMDM to rapidly obtain the second-harmonic pressure field. Five 2-D cases, including one with a realistic human tissue map, are studied to systematically verify the proposed method. Results from the previously developed transient MDM are used as the benchmark solutions. Comparisons show that the two methods give similar results for all cases. More importantly, the FSMDM has a crucial advantage over the transient MDM in that it can be two orders of magnitude faster.
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U2 - 10.1109/TUFFC.2019.2892753
DO - 10.1109/TUFFC.2019.2892753
M3 - Article
C2 - 30640608
AN - SCOPUS:85063972199
VL - 66
SP - 669
EP - 675
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
SN - 0885-3010
IS - 4
M1 - 8611180
ER -