中文摘要：

磁声电成像（MAET）是一种新型生物医学成像技术，结合了电阻抗成像高对比度和超声成像高分辨率优势，是一种有望获得高质量图像的生物电阻抗成像方法。该文建立了二维磁声电正问题和逆问题的数学模型，推导了基于互易定理正逆问题理论公式，在此基础上实现了二维模型电流密度和电导率分布的图像重建。对超声探头焦斑大小和扫描步长对重建图像质量的影响进行分析，得出焦斑大小决定磁声电成像的横向分辨率，扫描步径在一定程度上影响成像质量。

英文摘要：

Magneto-acousto-electrical tomography （MAET）, which combines the electrical impedance tomography with high contrast and the ultrasound imaging with good spatial resolution, is a novel medical imaging method to obtain high quality images of biological electrical impedance imaging. In this paper, a mathematical model of 2D MAET forward problem and inverse problem is established and derived with reciprocity theorem. On this basis, the current density and conductivity distribution of 2D physical model sample are reconstructed. Finally, the imaging influence factors of focal spot size and scan step for ultrasound probe are analyzed. The analysis shows that the focal spot size determines the lateral resolution of MAET imaging, and the scanning step affects the image quality to some extent.