Treeby, Bradley E.Tumen, MustafaCox, B. T.2025-06-152025-06-1597836422362280302-9743PubMed:22003638http://www.scopus.com/inward/record.url?scp=82255185851&partnerID=8YFLogxKhttps://hdl.handle.net/1885/733762002A k-space pseudospectral model is developed for the fast full-wave simulation of nonlinear ultrasound propagation through heterogeneous media. The model uses a novel equation of state to account for nonlinearity in addition to power law absorption. The spectral calculation of the spatial gradients enables a significant reduction in the number of required grid nodes compared to finite difference methods. The model is parallelized using a graphical processing unit (GPU) which allows the simulation of individual ultrasound scan lines using a 256 × 256 × 128 voxel grid in less than five minutes. Several numerical examples are given, including the simulation of harmonic ultrasound images and beam patterns using a linear phased array transducer.8enGPUk-space methodsnonlinearultrasound simulation201110.1007/978-3-642-23623-5_4682255185851