Numerical methods for axisymmetric and 3D nonlinear beams
Publication
, Journal Article
Pinton, GF; Trahey, GE
Published in: Progress in Biomedical Optics and Imaging - Proceedings of SPIE
September 19, 2005
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.
Duke Scholars
Published In
Progress in Biomedical Optics and Imaging - Proceedings of SPIE
DOI
ISSN
1605-7422
Publication Date
September 19, 2005
Volume
5750
Start / End Page
388 / 396
Citation
APA
Chicago
ICMJE
MLA
NLM
Pinton, G. F., & Trahey, G. E. (2005). Numerical methods for axisymmetric and 3D nonlinear beams. Progress in Biomedical Optics and Imaging - Proceedings of SPIE, 5750, 388–396. https://doi.org/10.1117/12.595910
Pinton, G. F., and G. E. Trahey. “Numerical methods for axisymmetric and 3D nonlinear beams.” Progress in Biomedical Optics and Imaging - Proceedings of SPIE 5750 (September 19, 2005): 388–96. https://doi.org/10.1117/12.595910.
Pinton GF, Trahey GE. Numerical methods for axisymmetric and 3D nonlinear beams. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. 2005 Sep 19;5750:388–96.
Pinton, G. F., and G. E. Trahey. “Numerical methods for axisymmetric and 3D nonlinear beams.” Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 5750, Sept. 2005, pp. 388–96. Scopus, doi:10.1117/12.595910.
Pinton GF, Trahey GE. Numerical methods for axisymmetric and 3D nonlinear beams. Progress in Biomedical Optics and Imaging - Proceedings of SPIE. 2005 Sep 19;5750:388–396.
Published In
Progress in Biomedical Optics and Imaging - Proceedings of SPIE
DOI
ISSN
1605-7422
Publication Date
September 19, 2005
Volume
5750
Start / End Page
388 / 396