| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode |
| Guo Liang (郭亮)a b c, Liu Guo-Qiang (刘国强)a, Xia Hui (夏慧)a, Liu Yu (刘宇)a, Lu Min-Hua (陆敏华)d |
a Institution of Electrical Engineering, Chinese Academy of Sciences, Beijing 100190, China;
b University of Chinese Academy of Sciences, Beijing 100190, China;
c College of Control Theory and Engineering, China University of Petroleum, Qingdao 266580, China;
d Guangdong Key Laboratory for Biomedical Measurements and Ultrasound Imaging, Shenzhen 518060, China |
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Abstract Conductivities tomography with the interactions of magnetic field, electrical field, and ultrasound field is presented in this paper. We utilize a beam of ultrasound in scanning mode instead of the traditional ultrasound field generated by point source. Many formulae for the reconstruction of conductivities are derived from the voltage signals detected by two electrodes arranged somewhere on tissue's surface. In a forward problem, the numerical solutions of ultrasound fields generated by the piston transducer are calculated using the angular spectrum method and its Green's function is designed approximately in far fields. In an inverse problems, the magneto-acousto-electrical voltage signals are proved to satisfy the wave equations if the voltage signals are extended to the whole region from the boundary locations of transducers. Thus the time-reversal method is applied to reconstructing the curl of the reciprocal current density. In addition, a least square iteration method of recovering conductivities from reciprocal current densities is discussed.
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Received: 04 March 2014
Revised: 02 April 2014
Accepted manuscript online:
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PACS:
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43.35.Rw
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(Magnetoacoustic effect; oscillations and resonance)
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43.40.At
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(Experimental and theoretical studies of vibrating systems)
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43.20.Bi
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(Mathematical theory of wave propagation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51137004, 51277169, and 61271424). |
Corresponding Authors:
Guo Liang,Liu Guo-Qiang
E-mail: guoliang@upc.edu.cn;gqliu@mail.iee.ac.cn
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| About author: 43.35.Rw; 43.40.At; 43.20.Bi |
Cite this article:
Guo Liang (郭亮), Liu Guo-Qiang (刘国强), Xia Hui (夏慧), Liu Yu (刘宇), Lu Min-Hua (陆敏华) Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode 2014 Chin. Phys. B 23 104303
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| | [11] | Li Y L, Ma Q Y, Zhang D and Xia R M 2008 Chin. Phys. B 17 4302
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