Jensen J A
Electronics Institute, Technical University of Denmark, Lyngby.
J Acoust Soc Am. 1991 Jan;89(1):182-90. doi: 10.1121/1.400497.
An inhomogeneous wave equation is derived describing propagation and scattering of ultrasound in an inhomogeneous medium. The scattering term is a function of density and propagation velocity perturbations. The integral solution to the wave equation is combined with a general description of the field from typical transducers used in clinical ultrasound to yield a model for the received pulse-echo pressure field. Analytic expressions are found in the literature for a number of transducers, and any transducer excitation can be incorporated into the model. An example is given for a concave, nonapodized transducer in which the predicted pressure field is compared to a measured field.
推导了一个非均匀波动方程，用于描述超声波在非均匀介质中的传播和散射。散射项是密度和传播速度扰动的函数。波动方程的积分解与临床超声中使用的典型换能器的场的一般描述相结合，以产生接收脉冲回波压力场的模型。文献中找到了许多换能器的解析表达式，任何换能器激励都可以纳入该模型。给出了一个凹面、非变迹换能器的例子，其中将预测的压力场与测量场进行了比较。
