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Proceedings Paper

Numerical methods for axisymmetric and 3D nonlinear beams
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Paper Abstract

Time domain algorithms that solve the Khokhlov--Zabolotzskaya--Kuznetsov (KZK) equation are described and implemented. This equation represents the propagation of finite amplitude sound beams in a homogenous thermoviscous fluid for axisymmetric and fully three dimensional geometries. In the numerical solution each of the terms is considered separately and the numerical methods are compared with known solutions. First and second order operator splitting are used to combine the separate terms in the KZK equation and their convergence is examined.

Paper Details

Date Published: 12 April 2005
PDF: 9 pages
Proc. SPIE 5750, Medical Imaging 2005: Ultrasonic Imaging and Signal Processing, (12 April 2005); doi: 10.1117/12.595910
Show Author Affiliations
Gianmarco F. Pinton, Duke Univ. (United States)
Gregg E. Trahey, Duke Univ. (United States)


Published in SPIE Proceedings Vol. 5750:
Medical Imaging 2005: Ultrasonic Imaging and Signal Processing
William F. Walker; Stanislav Y. Emelianov, Editor(s)

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