【摘要】： 在生物醫(yī)學(xué)超聲理論和應(yīng)用中，非線性現(xiàn)象的研究是近年來的一個(gè)熱點(diǎn)和難點(diǎn)。非線性原理應(yīng)用于超聲成像可以獲得更高的分辨率和對(duì)比度，，從而得到高質(zhì)量的超聲圖像，更清晰、更真實(shí)地反映成像對(duì)象，在實(shí)際應(yīng)用中已經(jīng)表現(xiàn)出顯著的優(yōu)勢(shì)和誘人的前景。 本文的研究遵循嚴(yán)密、可行和有效的原則，對(duì)非線性超聲的原理與應(yīng)用中所需解決的若干重點(diǎn)問題在理論推理、建模、數(shù)值計(jì)算和仿真等層面上進(jìn)行了較為深入的探討。取得了如下幾個(gè)方面的研究成果： 1．提出了一種基于Fourier-Bessel級(jí)數(shù)的新方法，用于計(jì)算吸收媒質(zhì)中非線性超聲場的高次諧波分量，得到其級(jí)數(shù)形式的解析解，由此推導(dǎo)出吸收媒質(zhì)中零階Bessel超聲場、Gauss聚焦超聲場高次諧波的封閉解析解，進(jìn)而對(duì)其聲場特性尤其是近場特性進(jìn)行了研究。 2．通過頻域有限差分方法求解KZK方程，對(duì)吸收媒質(zhì)中的零階Bessel超聲場、Gauss聚焦超聲場進(jìn)行計(jì)算，得到基波和高次諧波聲場的數(shù)值解和仿真圖，計(jì)算仿真結(jié)果驗(yàn)證了上述的理論結(jié)論。 3．對(duì)于高次諧波超聲成像原理及模型進(jìn)行了初步研究，提出了一個(gè)高次諧波成像計(jì)算仿真模型的框架。 本文的研究工作得到了國家自然科學(xué)基金項(xiàng)目“高分辨率高幀率超聲成像系統(tǒng)的研究”(No．60471057)和中國科學(xué)技術(shù)大學(xué)青年科學(xué)基金“非線性非衍射波的特性研究及其在醫(yī)學(xué)超聲中的應(yīng)用”(No．KA2100230001)的資助。
[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).
【學(xué)位授予單位】：中國科學(xué)技術(shù)大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2007
【分類號(hào)】：R312

【引證文獻(xiàn)】

相關(guān)期刊論文 前1條

1 李躍杰;湯四媛;王立偉;李松;;基于脈沖反相技術(shù)的醫(yī)用高頻超聲組織諧波信息提取技術(shù)的研究[J];中國醫(yī)療器械雜志;2008年06期

相關(guān)博士學(xué)位論文 前1條

1 徐瑤;時(shí)域有限差分算法在超聲非衍射波聲場仿真中的應(yīng)用[D];中國科學(xué)技術(shù)大學(xué);2012年

相關(guān)碩士學(xué)位論文 前4條

1 先永利;有限聲束非線性超聲場的快速計(jì)算及其特性研究[D];中國科學(xué)技術(shù)大學(xué);2011年

2 樊振軍;通用超聲檢測系統(tǒng)檢測過程仿真技術(shù)研究[D];中北大學(xué);2012年

3 湯四媛;基于脈沖反相技術(shù)的醫(yī)用高頻超聲組織諧波信息提取技術(shù)的研究[D];中國協(xié)和醫(yī)科大學(xué);2008年

4 解卓麗;基于人體腹壁組織的非線性聲場模型研究[D];浙江大學(xué);2013年

本文編號(hào)：2426841