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电磁层析成像(EMT):正问题的理论分析

Electromagnetric Tomography (EMT):Theoretical Analysis of the Forward Problem

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【作者】 熊汉亮徐苓安

【Author】 XIONG Han_liang, XU Ling_an (School of Electrical Automation and Energy Engineering, Tianjin University, Tianjin 300072, P R China)

【机构】 天津大学电气自动化与能源工程学院!天津300072

【摘要】 基于感应原理的电磁层析成像 (EMT)是一种新颖的工业过程成像技术· 通过解析求解特定的两组分流成像正问题 ,导出了二维磁场分布的精确表达式 ,定量分析了传感器内部的物理机制和EMT技术的可检测性极限 ,建立了场灵敏度的直接数学表达式和灵敏度图· 在一定程度上 ,为传感器的定量设计 ,EMT技术术的可检测性分析和两组分过程的图像重建提供了数理基础

【Abstract】 Inductance_based electromagnetic tomography (EMT) is a novel industrial process tomographic technique. Exact expressions of the magnetic field distribution in a two_dimensional object space were derived by analytically solving the forward problem for a particular two_component flow. The physical mechanisms within the sensor and the detectability limits of the EMT technique were quantitatively analyzed. Direct mathematical expressions for the field sensitivity and the sensitivity maps were established. To a certain extent, mathematical and theoretical bases are given for quantitative design of the sensor, detectability analysis of the EMT technique and image reconstruction of two_compontnt processes based on the linear back_projection algorithm.

【基金】 国家自然科学基金资助项目!(6 9574 0 2 1;598770 18)
  • 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,2000年09期
  • 【分类号】O442
  • 【被引频次】37
  • 【下载频次】257
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