生物医学超声中若干非线性问题的研究
发布时间：2019-02-19 20:20
【摘要】： 在生物医学超声理论和应用中，非线性现象的研究是近年来的一个热点和难点。非线性原理应用于超声成像可以获得更高的分辨率和对比度，，从而得到高质量的超声图像，更清晰、更真实地反映成像对象，在实际应用中已经表现出显著的优势和诱人的前景。 本文的研究遵循严密、可行和有效的原则，对非线性超声的原理与应用中所需解决的若干重点问题在理论推理、建模、数值计算和仿真等层面上进行了较为深入的探讨。取得了如下几个方面的研究成果： 1．提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。 2．通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。 3．对于高次谐波超声成像原理及模型进行了初步研究，提出了一个高次谐波成像计算仿真模型的框架。 本文的研究工作得到了国家自然科学基金项目“高分辨率高帧率超声成像系统的研究”(No．60471057)和中国科学技术大学青年科学基金“非线性非衍射波的特性研究及其在医学超声中的应用”(No．KA2100230001)的资助。
[Abstract]:In the theory and application of biomedical ultrasound, the study of nonlinear phenomena is a hot and difficult point in recent years. The application of nonlinear principle in ultrasonic imaging can obtain higher resolution and contrast, thus obtaining high quality ultrasonic images, which can more clearly and truthfully reflect the imaging object. It has shown remarkable advantages and attractive prospects in practical application. Following the strict, feasible and effective principle, this paper makes a deep discussion on the principle and application of nonlinear ultrasonic in theoretical reasoning, modeling, numerical calculation and simulation. The research results are as follows: 1. A new method based on Fourier-Bessel series is proposed to calculate the high harmonic components of nonlinear ultrasonic field in absorbing medium. The analytic solution of its series form is obtained, and the closed analytical solution of the high order harmonic of the zero order Bessel ultrasonic field and the Gauss focused ultrasonic field in the absorbing medium is derived, and the acoustic field characteristics, especially the near field characteristic, are studied. 2. The KZK equation is solved by the finite difference method in frequency domain. The zero order Bessel ultrasonic field and the Gauss focused ultrasonic field in the absorbing medium are calculated, and the numerical solutions and simulation diagrams of the fundamental and high order harmonic sound fields are obtained. The simulation results verify the above conclusions. 3. The principle and model of high-order harmonic ultrasonic imaging are studied, and a simulation model of high-order harmonic imaging is proposed. In this paper, we have obtained the research work of the National Natural Science Foundation of China "Research on High Resolution and High frame rate Ultrasonic Imaging system" (No.60471057) and the characteristics of nonlinear nondiffractive waves of the Youth Science Foundation of the University of Science and Technology of China. Research and its Application in Medical Ultrasound (No.KA2100230001).
【学位授予单位】：中国科学技术大学
【学位级别】：博士
【学位授予年份】：2007
【分类号】：R312
本文编号：2426841
[Abstract]:In the theory and application of biomedical ultrasound, the study of nonlinear phenomena is a hot and difficult point in recent years. The application of nonlinear principle in ultrasonic imaging can obtain higher resolution and contrast, thus obtaining high quality ultrasonic images, which can more clearly and truthfully reflect the imaging object. It has shown remarkable advantages and attractive prospects in practical application. Following the strict, feasible and effective principle, this paper makes a deep discussion on the principle and application of nonlinear ultrasonic in theoretical reasoning, modeling, numerical calculation and simulation. The research results are as follows: 1. A new method based on Fourier-Bessel series is proposed to calculate the high harmonic components of nonlinear ultrasonic field in absorbing medium. The analytic solution of its series form is obtained, and the closed analytical solution of the high order harmonic of the zero order Bessel ultrasonic field and the Gauss focused ultrasonic field in the absorbing medium is derived, and the acoustic field characteristics, especially the near field characteristic, are studied. 2. The KZK equation is solved by the finite difference method in frequency domain. The zero order Bessel ultrasonic field and the Gauss focused ultrasonic field in the absorbing medium are calculated, and the numerical solutions and simulation diagrams of the fundamental and high order harmonic sound fields are obtained. The simulation results verify the above conclusions. 3. The principle and model of high-order harmonic ultrasonic imaging are studied, and a simulation model of high-order harmonic imaging is proposed. In this paper, we have obtained the research work of the National Natural Science Foundation of China "Research on High Resolution and High frame rate Ultrasonic Imaging system" (No.60471057) and the characteristics of nonlinear nondiffractive waves of the Youth Science Foundation of the University of Science and Technology of China. Research and its Application in Medical Ultrasound (No.KA2100230001).
【学位授予单位】：中国科学技术大学
【学位级别】：博士
【学位授予年份】：2007
【分类号】：R312
【引证文献】
相关期刊论文 前1条
1 李跃杰;汤四媛;王立伟;李松;;基于脉冲反相技术的医用高频超声组织谐波信息提取技术的研究[J];中国医疗器械杂志;2008年06期
相关博士学位论文 前1条
1 徐瑶;时域有限差分算法在超声非衍射波声场仿真中的应用[D];中国科学技术大学;2012年
相关硕士学位论文 前4条
1 先永利;有限声束非线性超声场的快速计算及其特性研究[D];中国科学技术大学;2011年
2 樊振军;通用超声检测系统检测过程仿真技术研究[D];中北大学;2012年
3 汤四媛;基于脉冲反相技术的医用高频超声组织谐波信息提取技术的研究[D];中国协和医科大学;2008年
4 解卓丽;基于人体腹壁组织的非线性声场模型研究[D];浙江大学;2013年
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