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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.
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Keywords:
- inverse scattering /
- microwave tomography /
- inhomogeneous background /
- Green function
[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 53 947]
[6] Zhang P, Zhang X J 2013 Acta Phys. Sin. 62 164201 (in Chinese) [张鹏, 张晓娟 2013 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 57 4812]
[9] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 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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[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 53 947]
[6] Zhang P, Zhang X J 2013 Acta Phys. Sin. 62 164201 (in Chinese) [张鹏, 张晓娟 2013 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 57 4812]
[9] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 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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