Ultrasound beam simulations in inhomogeneous tissue geometries using the hybrid angular spectrum method

The angular spectrum method is a fast, accurate and computationally efficient method for modeling wave propagation. However, the traditional angular spectrum method assumes that the region of propagation has homogenous properties. In this paper, the angular spectrum method is extended to calculate u...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2012-06, Vol.59 (6), p.1093-1100
Main Authors: Vyas, U., Christensen, D.
Format: Article
Language:English
Subjects:
Acoustic beams
Acoustics
Algorithms
Attenuation
Biological and medical sciences
Breast Neoplasms - diagnostic imaging
Computer Simulation
Female
Fourier Analysis
Humans
Imaging, Three-Dimensional
Investigative techniques, diagnostic techniques (general aspects)
Mathematical model
Medical sciences
Miscellaneous. Technology
Models, Biological
Nonhomogeneous media
Reflection
Solid modeling
Surgery (general aspects). Transplantations, organ and tissue grafts. Graft diseases
Ultrasonic investigative techniques
Ultrasonography, Mammary - methods
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Summary:The angular spectrum method is a fast, accurate and computationally efficient method for modeling wave propagation. However, the traditional angular spectrum method assumes that the region of propagation has homogenous properties. In this paper, the angular spectrum method is extended to calculate ultrasound wave propagation in inhomogeneous tissue geometries, important for clinical efficacy, patient safety, and treatment reliability in MR-guided focused ultrasound surgery. The inhomogeneous tissue region to be modeled is segmented into voxels, each voxel having a unique speed of sound, attenuation coefficient, and density. The pressure pattern in the 3-D model is calculated by alternating between the space domain and the spatial-frequency domain for each plane of voxels in the model. The new technique was compared with the finite-difference time-domain technique for a model containing attenuation, refraction, and reflection and for a segmented human breast model; although yielding essentially the same pattern, it results in a reduction in calculation times of at least two orders of magnitude.
ISSN:0885-3010
1525-8955
DOI:10.1109/TUFFC.2012.2300