Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode

doi:10.1088/1674-1056/23/10/104303

›› 2014, Vol. 23 ›› Issue (10): 104303-104303.doi: 10.1088/1674-1056/23/10/104303

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode

郭亮^{a b c}, 刘国强^a, 夏慧^a, 刘宇^a, 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

收稿日期:2014-03-04 修回日期:2014-04-02 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51137004, 51277169, and 61271424).

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

Received:2014-03-04 Revised:2014-04-02 Online:2014-10-15 Published:2014-10-15
Contact: Guo Liang,Liu Guo-Qiang E-mail:guoliang@upc.edu.cn;gqliu@mail.iee.ac.cn
About author:43.35.Rw; 43.40.At; 43.20.Bi
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 51137004, 51277169, and 61271424).

摘要/Abstract

摘要： 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.

关键词: magneto-acousto-electrical tomography, Green’, s function, conductivity reconstructing, scan mode

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.

Key words: magneto-acousto-electrical tomography, Green’s function, conductivity reconstructing, scan mode

中图分类号: (Magnetoacoustic effect; oscillations and resonance)

43.35.Rw

43.40.At (Experimental and theoretical studies of vibrating systems) 43.20.Bi (Mathematical theory of wave propagation)

郭亮, 刘国强, 夏慧, 刘宇, 陆敏华. Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode[J]. , 2014, 23(10): 104303-104303.

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[J]. Chin. Phys. B, 2014, 23(10): 104303-104303.

参考文献 0


[11]	Li Y L, Ma Q Y, Zhang D and Xia R M 2008 Chin. Phys. B 17 4302

[1]	Matsumoto Y, Murakami M, Shono T, Hasegawa T, Fukumura T, Kawasaki M, Ahmet P, Chikyow T, Koshihara S and Koinuma H 2001 Science 291 854 doi: 10.1126/science.1056186

[12]	Lin W J, Wang X M and Zhang H L 2006 Chin. J. Geophys. 49 284

[2]	Fukumura T, Yamada Y, Toyosaki H, Hasegawa T, Koinuma H and Kawasaki M 2004 Appl. Surf. Sci. 223 62 doi: 10.1016/S0169-4332(03)00898-5

[13]	Zeng X P 2011 "Research for Magneto-Acousto-Electrical Tomography" (M.S. dissertation) (Institute of Electrical Engineering, Chinese Academy of Sciences) (in Chinese)

[3]	Prellier W, Fouchet A and Mercey B 2003 J. Phys.: Condens. Matter 15 R1583

[14]	Guo L, Liu G Q, Xia H and Chen J 2013 Chin. Phys. Lett. 30 124303 doi: 10.1088/0256-307X/30/12/124303

[15]	Zeng X P, Liu G Q, Xia H and Xu X Y 2010 3rd International Conference on Biomedical Engineering and Informatics, October 16-18, 2010, Yantai, China, p. 95

[4]	Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, Molnr S V, Roukes M L, Chtchelkanova A Y and Treger D M 2001 Science 294 1488 doi: 10.1126/science.1065389

[16]	Xu M H, Xu Y and Wang L V 2003 IEEE Trans. Biomed. Eng. 50 814

[17]	Xu Y and Wang L V 2004 Phys. Rev. Lett. 92 033902 doi: 10.1103/PhysRevLett.92.033902

[18]	Liu G Q 2006 Medical Electromagnetic Imaging (Beijing: Science Press) p. 143

[5]	Chappert C and Kim J V 2008 Nat. Phys. 4 837 doi: 10.1038/nphys1122

[19]	Liu G Q, Huang X and Xia H 2013 Chin. Sci. Bull. 58 3600 doi: 10.1007/s11434-013-5964-2

[20]	Huang X, Liu G Q and Xia H 2013 Transaction of China Electrotechical Society 28 67 (in Chinese)

[6]	Žutić I, Fabian J and Sarma S D 2004 Rev. Mod. Phys. 76 323 doi: 10.1103/RevModPhys.76.323

[7]	Wang Y X, Liu H, Li Z Q, Zhang X X, Zheng R K and Ringer S P 2006 Appl. Phys. Lett. 89 042511 doi: 10.1063/1.2240139

[21]	Leo M, Li X and He B 2011 IEEE. Trans. Biomed. Eng. 58 713 doi: 10.1109/TBME.2010.2094618

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Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode

Conductivity reconstruction algorithms and numerical simulations for magneto-acousto-electrical tomography with piston transducer in scan mode

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