Time domain simulation of harmonic ultrasound images and beam patterns in 3d using the k-space pseudospectral method

Authors:
Bradley E. Treeby;Mustafa Tumen;B. T. Cox
Affiliations:
College of Engineering and Computer Science, The Australian National University;Department of Medical Physics and Bioengineering, University College London;Department of Medical Physics and Bioengineering, University College London
Venue:
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
Year:
2011

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Abstract

A k-space pseudospectral model is developed for the fast full-wave simulation of nonlinear ultrasound propagation through heterogeneous media. The model uses a novel equation of state to account for nonlinearity in addition to power law absorption. The spectral calculation of the spatial gradients enables a significant reduction in the number of required grid nodes compared to finite difference methods. The model is parallelized using a graphical processing unit (GPU) which allows the simulation of individual ultrasound scan lines using a 256 × 256 × 128 voxel grid in less than five minutes. Several numerical examples are given, including the simulation of harmonic ultrasound images and beam patterns using a linear phased array transducer.