Fast Nonlinear Ultrasound Propagation Simulation Using a Slowly Varying Envelope Approximation

Medical systems usually consider linear propagation of ultrasound, an approximation of reality. However, numerous studies have attempted to accurately simulate the nonlinear pressure wave distortion and to evaluate the contribution of harmonic frequencies. In such simulations, the computation time i...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control Vol. 64; no. 6; pp. 1015 - 1022
Main Authors: Varray, Francois, Toulemonde, Matthieu, Bernard, Adeline, Basset, Olivier, Cachard, Christian
Format: Journal Article
Language:English
Published: United States IEEE 01.06.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects:
Acoustics
Approximation
Attenuation
Bioengineering
Coefficient of nonlinearity
Computational modeling
Computer simulation
Deviation
Distortion
Engineering Sciences
Fourier analysis
Fourier transforms
Graphics processing units
harmonic
Harmonic analysis
Harmonics
Imaging
Life Sciences
Mathematical analysis
Mathematical model
nonlinear ultrasound (US) propagation
Nonlinearity
Propagation
Simulation
slowly varying envelope approximation (SVEA)
Ultrasonic imaging
ISSN:0885-3010, 1525-8955, 1525-8955
Online Access:Get full text
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Summary:Medical systems usually consider linear propagation of ultrasound, an approximation of reality. However, numerous studies have attempted to accurately simulate the nonlinear pressure wave distortion and to evaluate the contribution of harmonic frequencies. In such simulations, the computation time is very large, except for the method based on the angular spectrum scheme where the derivative order is reduced using the Fourier transform. However, the harmonic computation is usually limited to the second harmonic because of quasi-linear approximation. In this paper, a slowly varying envelope approximation (SVEA) is used in the Fourier domain to compute the entire nonlinear distortion induced, including high harmonics and nonlinear mixing frequencies. The simulation by SVEA is evaluated by comparison with other simulation tools. The obtained deviation and difference remain low enough to fully validate such an approximation. Moreover, the simulator is implemented on a GPU to obtain a very fast tool, where the full nonlinear distorted 3-D + t field is computed in less than 10 s.
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ISSN:0885-3010
1525-8955
1525-8955
DOI:10.1109/TUFFC.2017.2687470