本文選題：非線性聲學(xué) + 波動(dòng)方程　； 參考：《浙江大學(xué)學(xué)報(bào)(工學(xué)版)》2016年03期

【摘要】：為了實(shí)現(xiàn)仿真醫(yī)學(xué)超聲波在非均勻組織中的傳播過(guò)程,建立超聲非線性傳播計(jì)算模型.由軟組織中一階非線性波動(dòng)方程推導(dǎo)得出"聲壓-質(zhì)點(diǎn)振動(dòng)速度"耦合超聲非線性波動(dòng)方程以降低求解復(fù)雜度.采用k空間方法對(duì)非線性波動(dòng)方程組求解,在保證數(shù)值計(jì)算精度的同時(shí)降低計(jì)算的內(nèi)存占用量和計(jì)算時(shí)間.通過(guò)與一維問(wèn)題的解析解和二維問(wèn)題的時(shí)域有限差分(FDTD)求解結(jié)果對(duì)比,驗(yàn)證所述模型的精度.在空間采樣率為聲波波長(zhǎng)的1/9、Courant-Friedrichs-Lewy(CFL)數(shù)為0.3的情況下,所述模型的平方誤差為0.012 5%,而時(shí)域有限差分方法(FDTD)的平方誤差為42.5%.利用體腹壁組織數(shù)字模型,進(jìn)行醫(yī)學(xué)超聲諧波成像仿真,驗(yàn)證諧波成像較基波成像能夠提高深部組織區(qū)域的圖像質(zhì)量.
[Abstract]:In order to simulate the propagation process of medical ultrasound in heterogeneous tissue, a nonlinear ultrasonic propagation model was established. From the first order nonlinear wave equation in soft tissue, the "acoustic pressure-particle vibration velocity" coupling ultrasonic nonlinear wave equation is derived to reduce the complexity of solution. The k-space method is used to solve the nonlinear wave equations, which not only ensures the accuracy of numerical calculation, but also reduces the memory consumption and computing time. The accuracy of the proposed model is verified by comparing with the analytical solution of the one-dimensional problem and the finite-difference FDTD solution of the two-dimensional problem. When the spatial sampling rate is 1 / 9 of the acoustic wavelength, the square error of the model is 0.012 and that of the finite-difference time-domain method is 42.5. The medical ultrasonic harmonic imaging simulation is carried out using the digital model of the abdominal wall tissue. It is proved that the harmonic imaging can improve the image quality of the deep tissue region compared with the fundamental imaging.
【作者單位】： 浙江大學(xué)生物醫(yī)學(xué)工程教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】：中央高校基本科研業(yè)務(wù)費(fèi)專(zhuān)項(xiàng)資金資助項(xiàng)目(2015FZA5019;2016FZA5015)
【分類(lèi)號(hào)】：TB559

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本文編號(hào)：1994512