| Electromagnetic tomography: dyadic Green' s function method |
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| 作者姓名： | XIONG Hanliang XU Ling' an |
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| 作者单位： | School of Automation, Tianjin University, Tianjin 300072, China,School of Automation, Tianjin University, Tianjin 300072, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 59877018). |
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| 摘 要： | This study aims at formulating a dyadic Green' s function method for directly solving the forward and inverse problems of the electromagnetic tomography (EMT) with parallel field sensor. First, an integral equation of the electromagnetic problem for the EMT sensor is presented in terms of an equivalent source, which takes the dyadic Green's function G (r, r') as its kernel. Next, starting from a single conducting cylinder filled with homogeneous medium, a convenient way of finding the electric dyadic Green's function of the first kind Gel( r, r) is described based on the method of Ga. Then, an eigenfunction expansion of the Gel( r, r) into vector wave functions M and N is obtained by means of a contour integration. Finally, an expression of the G( r, r' ), the dyadic Green' s function for the EMT sensor with cylindrically layered structure, is deduced from Gel(r, r) by adding reflected wave terms to it.
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| 关 键 词： | electromagnetic theory inverse problem dyadic Green' s function tomography image reconstruction |
Electromagnetic tomography: dyadic Green' s function method |
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| XIONG Hanliang,XU Ling'' an.Electromagnetic tomography: dyadic Green'' s function method[J].Progress in Natural Science,2001,11(1):67-75. |
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| Authors: | XIONG Hanliang XU Ling' an |
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| Institution: | School of Automation, Tianjin University, Tianjin 300072, China |
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| Abstract: | This study aims at formulating a dyadic Green' s function method for directly solving the forward and inverse problems of the electromagnetic tomography (EMT) with parallel field sensor. First, an integral equation of the electromagnetic problem for the EMT sensor is presented in terms of an equivalent source, which takes the dyadic Green's function G (r, r') as its kernel. Next, starting from a single conducting cylinder filled with homogeneous medium, a convenient way of finding the electric dyadic Green's function of the first kind Gel( r, r) is described based on the method of Ga. Then, an eigenfunction expansion of the Gel( r, r) into vector wave functions M and N is obtained by means of a contour integration. Finally, an expression of the G( r, r' ), the dyadic Green' s function for the EMT sensor with cylindrically layered structure, is deduced from Gel(r, r) by adding reflected wave terms to it. |
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| Keywords: | electromagnetic theory inverse problem dyadic Green' s function tomography image reconstruction |
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