Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 1034-1044.

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ELECTROMAGNETIC TOMOGRAPHY (EMT): THEORETICAL ANALYSIS OF THE FORWARD PROBLEM

XIONG Han-liang, XU Ling-an   

  1. School of Electrical Automation and Energy Engineering, Tianjin University, Tianjin 300072, P. R. China
  • Received:1999-01-29 Revised:2000-06-15 Online:2000-09-18 Published:2000-09-18
  • Supported by:

    the National Natural Science Foundation of China(69574021,59877018)

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-component processes based on the linear back-projection algorithm.

2010 MSC Number: 

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