{"title":"利用韦斯特韦尔特方程模拟生物材料中的非线性传播效应","authors":"Esraa rabie, galal hassan, Mohamed Sayed Ali","doi":"10.21608/aunj.2023.244541.1067","DOIUrl":null,"url":null,"abstract":"Numerical simulations of the nonlinear acoustic waves for medical applications are performed by using Westervelt equation. In this paper, FDTD has been introduced to solve Westervelt equation. Nonlinear propagation scheme is applied on different biological media where a 1 kpa transducer pressure wave of 1 MHz and interactions with tissues are analyzed. Our results show the importance of considering nonlinear interactions in understanding the behavior of sound waves","PeriodicalId":8568,"journal":{"name":"Assiut University Journal of Multidisciplinary Scientific Research","volume":"24 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simulating the Nonlinear Propagation Effects in Biological Materials Using Westervelt Equation\",\"authors\":\"Esraa rabie, galal hassan, Mohamed Sayed Ali\",\"doi\":\"10.21608/aunj.2023.244541.1067\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Numerical simulations of the nonlinear acoustic waves for medical applications are performed by using Westervelt equation. In this paper, FDTD has been introduced to solve Westervelt equation. Nonlinear propagation scheme is applied on different biological media where a 1 kpa transducer pressure wave of 1 MHz and interactions with tissues are analyzed. Our results show the importance of considering nonlinear interactions in understanding the behavior of sound waves\",\"PeriodicalId\":8568,\"journal\":{\"name\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"volume\":\"24 7\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/aunj.2023.244541.1067\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Assiut University Journal of Multidisciplinary Scientific Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/aunj.2023.244541.1067","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Simulating the Nonlinear Propagation Effects in Biological Materials Using Westervelt Equation
Numerical simulations of the nonlinear acoustic waves for medical applications are performed by using Westervelt equation. In this paper, FDTD has been introduced to solve Westervelt equation. Nonlinear propagation scheme is applied on different biological media where a 1 kpa transducer pressure wave of 1 MHz and interactions with tissues are analyzed. Our results show the importance of considering nonlinear interactions in understanding the behavior of sound waves
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