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流体媒质三次谐波及三阶非线性声参量研究
引用本文:毛峰,徐晓辰,颜永生.流体媒质三次谐波及三阶非线性声参量研究[J].三峡大学学报(自然科学版),2001,23(1):86-90.
作者姓名:毛峰  徐晓辰  颜永生
作者单位:1. 三峡大学 理学院,
2. 南京大学声学研究所,
基金项目:国家自然科学基金资助项目(19834040);近代声学国家重点实验室开发课题(9912);湖北省教育厅资助项目.
摘    要:从流体动力学的基本方程出发,采用逐级近似微扰法,建立了理想流体媒质-至三级近似的波动方程,并得到三次谐波声压的积累解与声波传播距离的平方成正比,在此基础上进而求得三阶非线性声参量C/A与三次谐波声压之间的关系,这为下一步用有限振幅法测量和研究流体媒质的三阶非线性声参量C/A提供了理论依据,而三阶非线性参量预期在医学超声参数成像技术中有重要的应用前景。

关 键 词:流体媒质  三次谐波  三阶非线性声参量  超声医学  医学成像诊断
文章编号:1007-7081(2001)01-0086-05

Theoretical study of third-order harmonics and third-order nonlinear pamameter in fluid media
Abstract:Based on the basic equation of fluid dynamics, the wave equations in the first order,second-order and third-order approximations are established by the perturbation method. The accumulation solution of third-order harmonics sound pressure has a term proportional to the square of the distance. The solution gives explanation to the relationship between nonlinear parameter C/A and the sound pressure of third-order harmonics, thus providing a theoretical foundation for the measurement and study of the nonlinear parameter C/A of fluids by the finite amplitude method. It is expected that the third-order nonlinear parameter will have a good future in medical ultrasonic imaging.
Keywords:fluid media  third-order harmonics  third-order nonlinear parameter
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