中文摘要：

目的磁声电成像技术是一种融合了超声成像和电阻抗成像的新型功能性成像技术,兼具超声成像的高分辨率和电阻抗成像的高对比度。针对现有研究未涉及声场正问题以及三维成像体的电势差波形变化的情况,进行分析讨论。方法在二维成像的基础上,采用有限元和差分的方式研究了声场正问题,并分析了声场振速的变化趋势。推导了基于互易定理的三维声磁耦合的理论公式,建立数学物理模型并进行了仿真分析。另外,研究了电势差变化情况以及电极数量对于测量结果的影响。结果仿真结果和理论分析结果相吻合。结论为今后三维磁声电成像实验的顺利进行提供了理论依据。

英文摘要：

Objective Magneto-acoustic-electrical tomography(MAET)is a new functional imaging technique,which possesses high resolution of ultrasound tomography and high contrast of electrical impedance tomography.The existing research does not involve the forward problem of sound field and the potential difference waveform change of 3-D imaging volume.This article analyzes and discusses these problems.Methods Based on the 2-D imaging,this paper studied the forward problem of sound field with the finite element method and differential mode,and analyzed the change trends of sound field vibration speed.We deduced the theoretical formulas of 3-D sound magnetic coupling based on reciprocity theorem and established the 3-D mathematical and physical model for simulation analysis.In addition,we studied the potential difference changes and analyzed the effect of the electrode number on the measurement results.Results The simulation results accorded with the theoretical analysis results.Conclusions This paper provides a theoretical basis for the successful progress of the future MAET experiment.