Published April 17, 2023 | Version First
Software Open

Pseudo-Spectral algorithm for Multiparameter wave Equation (PSME)

Creators

  • 1. BSC

Description

This code models the multiparameter Wave Equation using Pseudo-Spectral Time-Domain methods. Multiparameter, because It considers either the velocity of propagation, the material density or the attenuation factor. Note that this attenuation controls two additional terms used for characterizing the dispersion and the power law absorption typically observed in wave propagation through human tissue[1]. Moreover, to numerically solve this problem we use the Fourier Pseudo-Spectral Time-Domain methods and the code implementation has been done in C++. Finally, it is worth to mention that the discrete Fourier transforms have been carried out with the standard library FFTW3.
 

[1] B. Treeby, B. Cox. "Modeling power law absorption and dispersion for acoustic propagation using fractional La
placian" JASA. 127(5):2741-2748,2010

[2] C. Spa, P. Reche, E. Hernandez. "Numerical absorbing boundary conditions based on a damped wave equation for
pseudo-spectral time-domain simulations." The scientific world journal, 2014.2014.
 

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Additional details

Funding

QUSTom – Quantitative Ultrasound Stochastic Tomography - Revolutionizing breast cancer diagnosis and screening with supercomputing-based radiation-free imaging. 101046475
European Commission