Botros Y Y, Volakis J L, VanBaren P, Ebbini E S
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor 48109-2122, USA.
IEEE Trans Biomed Eng. 1997 Nov;44(11):1039-50. doi: 10.1109/10.641331.
A computationally efficient hybrid ray-physical optics (HRPO) model is presented for the analysis and synthesis of multiple-focus ultrasound heating patterns through the human rib cage. In particular, a ray method is used to propagate the ultrasound fields from the source to the frontal plane of the rib cage. The physical-optics integration method is then employed to obtain the intensity pattern inside the rib cage. The solution of the matrix system is carried out by using the pseudo inverse technique to synthesize the desired heating pattern. The proposed technique guides the fields through the intercostal spacings between the solid ribs and, thus, minimal intensity levels are observed over the solid ribs. This simulation model allows for the design and optimization of large-aperture phased-array applicator systems for noninvasive ablative thermal surgery in the heart and liver through the rib cage.
提出了一种计算效率高的混合射线-物理光学（HRPO）模型，用于分析和合成通过人体肋骨的多焦点超声加热模式。具体而言，采用射线方法将超声场从源传播到肋骨的前平面。然后采用物理光学积分方法来获取肋骨内部的强度模式。通过使用伪逆技术来合成所需的加热模式，从而求解矩阵系统。所提出的技术引导场穿过实心肋骨之间的肋间间隙，因此，在实心肋骨上观察到的强度水平最低。该模拟模型允许设计和优化用于通过肋骨对心脏和肝脏进行非侵入性消融热手术的大孔径相控阵施加器系统。
