An improved wave-vector frequency-domain method for nonlinear wave modeling

Yun Jing, Molei Tao, Jonathan Cannata

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


In this paper, a recently developed wave-vector frequency-domain method for nonlinear wave modeling is improved and verified by numerical simulations and underwater experiments. Higher order numeric schemes are proposed that significantly increase the modeling accuracy, thereby allowing for a larger step size and shorter computation time. The improved algorithms replace the left-point Riemann sum in the original algorithm by the trapezoidal or Simpson¿s integration. Plane waves and a phased array were first studied to numerically validate the model. It is shown that the left-point Riemann sum, trapezoidal, and Simpson¿s integration have first-, second-, and third-order global accuracy, respectively. A highly focused therapeutic transducer was then used for experimental verifications. Short high-intensity pulses were generated. 2-D scans were conducted at a prefocal plane, which were later used as the input to the numerical model to predict the acoustic field at other planes. Good agreement is observed between simulations and experiments.

Original languageEnglish (US)
Article number6746330
Pages (from-to)515-524
Number of pages10
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number3
StatePublished - Mar 2014

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


Dive into the research topics of 'An improved wave-vector frequency-domain method for nonlinear wave modeling'. Together they form a unique fingerprint.

Cite this