{"title":"A pseudo-spectral time-domain method for ultrasound wave propagation in soft biological tissue","authors":"Carlos Spa, Josep de la Puente","doi":"10.1016/j.jcp.2024.113527","DOIUrl":null,"url":null,"abstract":"<div><div>We introduce a Pseudo-Spectral Time-Domain (PSTD) method to simulate acoustic wave propagation in soft biological tissues, incorporating frequency-dependent power-law absorption and dispersion. A comprehensive Von-Neumann stability analysis highlights the influence of material parameters, time step, and spatial discretization on numerical stability. Validation is conducted through one-dimensional tests comparing numerical results with theoretical predictions for dispersion and attenuation, and two-dimensional simulations benchmarked against analytical Green's functions. Additionally, forward simulations on a breast phantom model using typical ultrasound parameters demonstrate the method's accuracy in modeling wave attenuation and dispersion. This PSTD method provides a reliable and efficient computational tool for advanced biomedical ultrasonics research.</div></div>","PeriodicalId":352,"journal":{"name":"Journal of Computational Physics","volume":"521 ","pages":"Article 113527"},"PeriodicalIF":3.8000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021999124007757","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a Pseudo-Spectral Time-Domain (PSTD) method to simulate acoustic wave propagation in soft biological tissues, incorporating frequency-dependent power-law absorption and dispersion. A comprehensive Von-Neumann stability analysis highlights the influence of material parameters, time step, and spatial discretization on numerical stability. Validation is conducted through one-dimensional tests comparing numerical results with theoretical predictions for dispersion and attenuation, and two-dimensional simulations benchmarked against analytical Green's functions. Additionally, forward simulations on a breast phantom model using typical ultrasound parameters demonstrate the method's accuracy in modeling wave attenuation and dispersion. This PSTD method provides a reliable and efficient computational tool for advanced biomedical ultrasonics research.
期刊介绍：
Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries.
The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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