A Caltech Library Service

Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation

Jing, Yun and Tao, Molei and Clement, Greg T. (2011) Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation. Journal of the Acoustical Society of America, 129 (1). pp. 32-46. ISSN 0001-4966.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


A wave-vector-frequency-domain method is presented to describe one-directional forward or backward acoustic wave propagation in a nonlinear homogeneous medium. Starting from a frequency-domain representation of the second-order nonlinear acoustic wave equation, an implicit solution for the nonlinear term is proposed by employing the Green’s function. Its approximation, which is more suitable for numerical implementation, is used. An error study is carried out to test the efficiency of the model by comparing the results with the Fubini solution. It is shown that the error grows as the propagation distance and step-size increase. However, for the specific case tested, even at a step size as large as one wavelength, sufficient accuracy for plane-wave propagation is observed. A two-dimensional steered transducer problem is explored to verify the nonlinear acoustic field directional independence of the model. A three-dimensional single-element transducer problem is solved to verify the forward model by comparing it with an existing nonlinear wave propagation code. Finally, backward-projection behavior is examined. The sound field over a plane in an absorptive medium is backward projected to the source and compared with the initial field, where good agreement is observed.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:© 2011 Acoustical Society of America. Received 2 September 2009; revised 24 September 2010; accepted 24 September 2010. This work was supported, in part, by NIH Grant No. U41 RR019703-028722. The authors would like to thank Dr. Caleb Farny for a critical review of the manuscript and three anonymous reviewers for very constructive comments.
Funding AgencyGrant Number
National Center for Research Resources (NCRR)U41RR019703-028722
Subject Keywords:acoustic field, acoustic wave absorption, acoustic wave propagation, frequency-domain analysis, Green's function methods, nonlinear acoustics, wave equations
Issue or Number:1
Classification Code:PACS: 43.25.Cb, 43.25.Jh
Record Number:CaltechAUTHORS:20110323-080916965
Persistent URL:
Official Citation:Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation Yun Jing, Molei Tao, and Greg T. Clement, J. Acoust. Soc. Am. 129, 32 (2011), DOI:10.1121/1.3504705
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:23060
Deposited By: Ruth Sustaita
Deposited On:29 Mar 2011 21:58
Last Modified:03 Oct 2019 02:43

Repository Staff Only: item control page