金属圆柱腔体中使用非均一背景增强微波断层成像

丁亮; 刘培国; 何建国; Amer Zakaria; Joe LoVetri

doi:10.7498/aps.63.044102

摘要

针对基于圆柱金属腔体的微波断层成像系统，提出了一种利用非均一背景增强系统获取目标信息能力的方法. 该方法通过在腔体内放置已知物体构成非均一背景，这样不但能利用背景的先验信息，而且可以增加等效辐射源对目标进行探测. 首先，利用矩量法计算圆柱金属腔体内非均一背景的格林函数和离散积分算子，并对离散积分算子进行奇异值谱和条件数分析，在理论上证明该方法的可行性；然后，利用基于有限元的对比源逆成像法对均一背景、有耗非均一背景和无耗非均一背景三种情况进行仿真研究；最后对仿真结果进行了误差分析和比较. 仿真结果表明，该方法可以提高反演收敛速度和结果准确度，有耗非均一背景略优于无耗非均一背景. 该方法可以在不改变硬件系统和算法的情况下得到更准确的反演结果，可应用于医学成像与工业无损探测.

关键词:

Abstract

Microwave tomography is enhanced by using an inhomogeneous background. In this paper, the measurement region is located in a circular perfect electrical conductor (PEC) chamber where a known object is placed inside the imaging domain as an inhomogeneous background. This can not only make use of the prior information about the background, but also increase the equivalent radiation source for the target detection. The Green function of a circular PEC chamber with inhomogeneous background is obtained using the method of moments. Based on the Green functions for both homogeneous and inhomogeneous background in circular PEC chamber, the properties of the radiation operators are analyzed by comparing the condition numbers and the singular value spectra. Simulations are carried out in homogeneous, lossless inhomogeneous and lossy inhomogeneous backgrounds respectively, and the relative errors are discussed. The results show that using inhomogeneous background can improve the convergence rate and accuracy, and the lossy inhomogeneous background produces better results than the lossless one. In addition, it can enhance the inversion results without changing the microwave tomography system, which can be used in the medical imaging and industrial nondestructive detection.

Keywords:

作者及机构信息

1.
国防科学技术大学电子科学与工程学院, 长沙 410073;

2.
Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg MB R3T 5V6, Canada

基金项目: 国家自然科学基金（批准号：61372029）和高等学校博士学科点专项科研基金（批准号：20114307110022）资助的课题.

Authors and contacts

1.
School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China;

2.
Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg MB R3T 5V6, Canada

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61372029) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114307110022).

参考文献

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[2]	Zakaria A, Baran A, LoVetri J 2012 IEEE Antennas. Wirel. Propag. Lett. 11 1606
[3]	Song L P, Yu C, Liu Q H 2005 IEEE Trans. Geosci. Remote Sens. 43 2793
[4]	Abubakar A, Habashy T M, Druskin V L, Knizhnerman L, Alumbaugh D 2008 Geophysics 73 F165
[5]	Zhu H Y, Shen J Q, Li J 2004 Acta Phys. Sin. 53 947 (in Chinese) [朱红毅, 沈建其, 李军 2004 物理学报 53 947]
[6]	Zhang P, Zhang X J 2013 Acta Phys. Sin. 62 164201 (in Chinese) [张鹏, 张晓娟 2013 物理学报 62 164201]
[7]	Sheen D M, McMakin D L, Hall T E 2001 IEEE Trans. Microw. Theory Tech. 49 1581
[8]	Liu D, Wang F, Huang Q X, Yan J H, Chi Y, Cen K F 2008 Acta Phys. Sin. 57 4812 (in Chinese) [刘东, 王飞, 黄群星, 严建华, 池涌, 岑可法 2008 物理学报 57 4812]
[9]	Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 物理学报 58 4579]
[10]	Gilmore C, Mojabi P, Zakaria A, Pistorius S, LoVetri J 2010 IEEE Antennas Wirel. Propag. Lett. 9 393
[11]	Ostadrahimi M, Mojabi P, Gilmore C, Zakaria A, Noghanian S, Pistorius S, LoVetri J 2011 IEEE Antennas Wirel. Propag. Lett. 10 900
[12]	Gilmore C, LoVetri J 2008 Inverse Probl. 24 035008
[13]	Gilmore C, Zakaria A, LoVetri J, Pistorius S 2013 Med. Phys. 40 023101
[14]	Nordeboa S, Fhagerb A, Gustafssonc M, Nilssona B 2010 Inverse Probl. Sci. En. 18 1043
[15]	Crocco L, Litman A 2009 Inverse Probl. 25 065001
[16]	Zakaria A, Gilmore C, LoVetri J 2010 Inverse Probl. 26 115010
[17]	van den Berg P M, Fokkema J T 2003 IEEE Trans. Microw. Theory Tech. 51 187
[18]	van den Berg P M, Kleinman R E 1997 Inverse Probl. 13 1607
[19]	Bucci O M, Crocco L, Isernia T 1999 J. Opt. Soc. Am. 16 1788

施引文献

[1]	Meaneya P M, Fanninga M W, Raynoldsa T, Foxa C J, Fang Q, Kogelb C A, Poplackb S P, Paulsena K D 2007 Acad. Radiol. 14 207
[2]	Zakaria A, Baran A, LoVetri J 2012 IEEE Antennas. Wirel. Propag. Lett. 11 1606
[3]	Song L P, Yu C, Liu Q H 2005 IEEE Trans. Geosci. Remote Sens. 43 2793
[4]	Abubakar A, Habashy T M, Druskin V L, Knizhnerman L, Alumbaugh D 2008 Geophysics 73 F165
[5]	Zhu H Y, Shen J Q, Li J 2004 Acta Phys. Sin. 53 947 (in Chinese) [朱红毅, 沈建其, 李军 2004 物理学报 53 947]
[6]	Zhang P, Zhang X J 2013 Acta Phys. Sin. 62 164201 (in Chinese) [张鹏, 张晓娟 2013 物理学报 62 164201]
[7]	Sheen D M, McMakin D L, Hall T E 2001 IEEE Trans. Microw. Theory Tech. 49 1581
[8]	Liu D, Wang F, Huang Q X, Yan J H, Chi Y, Cen K F 2008 Acta Phys. Sin. 57 4812 (in Chinese) [刘东, 王飞, 黄群星, 严建华, 池涌, 岑可法 2008 物理学报 57 4812]
[9]	Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 物理学报 58 4579]
[10]	Gilmore C, Mojabi P, Zakaria A, Pistorius S, LoVetri J 2010 IEEE Antennas Wirel. Propag. Lett. 9 393
[11]	Ostadrahimi M, Mojabi P, Gilmore C, Zakaria A, Noghanian S, Pistorius S, LoVetri J 2011 IEEE Antennas Wirel. Propag. Lett. 10 900
[12]	Gilmore C, LoVetri J 2008 Inverse Probl. 24 035008
[13]	Gilmore C, Zakaria A, LoVetri J, Pistorius S 2013 Med. Phys. 40 023101
[14]	Nordeboa S, Fhagerb A, Gustafssonc M, Nilssona B 2010 Inverse Probl. Sci. En. 18 1043
[15]	Crocco L, Litman A 2009 Inverse Probl. 25 065001
[16]	Zakaria A, Gilmore C, LoVetri J 2010 Inverse Probl. 26 115010
[17]	van den Berg P M, Fokkema J T 2003 IEEE Trans. Microw. Theory Tech. 51 187
[18]	van den Berg P M, Kleinman R E 1997 Inverse Probl. 13 1607
[19]	Bucci O M, Crocco L, Isernia T 1999 J. Opt. Soc. Am. 16 1788

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