从超声波在连续介质中的传播特性出发, 在建立声波在均匀介质中传播的波动方程的基础上, 对声波在非均匀介质中传播的问题进行了研究。利用格林函数, 建立了关于精确散射场和全场的波动方程。为了便于利用计算机等处理器对方程进行求解, 将矩量法引入到方程的离散化问题中, 从而为波动方程的求解提供了理论基础。试验验证结果表明: 基于离散化的散射场方程和全场动方程, 在一定对比度的条件下, 采用迭代方法能够实现超声散射层析成像。

From the ultrasonic wave propagation characteristics in a continuous medium of departure, acoustic propagation in inhomogeneous media problems were studied based on the basis of the wave equation established of acoustic wave propagation in the homogeneous medium. The wave equations on the scattering filed and the whole field were established through Green′s function. In order to facilitate the use of computers and other processors, the method of moments was introduced into the discrete equation. The method provided a theoretical basis for solving the wave equation. Simulation experiments confirmed that using iterative method ultrasonic scattering tomography can be realized based on the wave equations.