MODIFIED SZABO'S WAVE EQUATION FOR ARBITRARILY FREQUENCY-DEPENDENT VISCOUS DISSIPATION IN SOFT MATTER WITH APPLICATIONS TO 3D ULTRASONIC IMAGING  

作　　者：Xiaodi Zhang Wen Chen Chuanzeng Zhang 

机构地区：[1]Institute of Soft Matter Mechanics,Department of Engineering Mechanics,Hohai University,Nanjing 210098,China [2]Department of Civil Engineering,University of Siegen,Paul-Bonatz-Str.9-11,D-57076 Siegen,Germany

出　　处：《Acta Mechanica Solida Sinica》2012年第5期510-519,共10页固体力学学报（英文版）

基　　金：supported by National Basic Research Program of China (973 Project No. 2010CB832702);the National Science Funds for Distinguished Young Scholars (11125208);the R&D Special Fund for Public Welfare Industry (Hydrodynamics, Project No. 201101014);Wen Chen is grateful of the Alexander von Humboldt Foundation, Germany, for an Experienced Researcher fellowship;Xiaodi Zhang would like to thank China Scholarship Council (CSC) for the financial support

摘　　要：Soft matters are observed anomalous viscosity behaviors often characterized by a power law frequency dependent attenuation in acoustic wave propagation. Recent decades have witnessed a fast growing research on developing various models for such anomalous viscosity behaviors among which one of the present authors proposed the modified Szabo＇s wave equation via the positive fractional derivative. The purpose of this study is to apply the modified Szabo＇s wave equation to simulate a recent ultrasonic imaging technique called the clinical amplitude- velocity reconstruction imaging （CARI） of breast tumors which are of typical soft tissue matters. Investigations have been made on the effects of the size and position of tumors on the quality of ultrasonic medical imaging. It is observed from numerical results that the sound pressure along the reflecting line, which indicates the detection results, varies obviously with sizes and lateral positions of tumors, but remains almost the same for different axial positions.Soft matters are observed anomalous viscosity behaviors often characterized by a power law frequency dependent attenuation in acoustic wave propagation. Recent decades have witnessed a fast growing research on developing various models for such anomalous viscosity behaviors among which one of the present authors proposed the modified Szabo＇s wave equation via the positive fractional derivative. The purpose of this study is to apply the modified Szabo＇s wave equation to simulate a recent ultrasonic imaging technique called the clinical amplitude- velocity reconstruction imaging （CARI） of breast tumors which are of typical soft tissue matters. Investigations have been made on the effects of the size and position of tumors on the quality of ultrasonic medical imaging. It is observed from numerical results that the sound pressure along the reflecting line, which indicates the detection results, varies obviously with sizes and lateral positions of tumors, but remains almost the same for different axial positions.

关 键 词：soft matter VISCOSITY frequency-dependent dissipation modified Szabo＇s waveequation positive fractional derivative ultrasonic imaging 

分 类 号：O469[理学—凝聚态物理] TG115.285[理学—电子物理学]