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In this paper, a new algorithm based on the equivalent current source is proposed to reconstruct the objects buried in layered media. In this method the radiating current source from the scattering data is first reconstructed and the reconstruction of equivalent current source and objects are then achieved efficiently by solving an optimization problem in a lower dimensional linear space using the conjugate gradient method. The effects of the frequency of incident wave, sampling interval, length of measurement line level of noise, and the estimation of background on the reconstructed results are studied and analyzed in detail. Numerical results show that the proposed method has a high ability to reconstruct the objects buried in layered media. Therefore, the method can be used to solve the problems in the areas of through-the-wall imaging and geophysical exploration and so on.
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Keywords:
- electromagnetic scattering /
- layered media /
- equivalent current source
[1] Sullivan D M 1996 IEEE Trans. Antennas Propag. 44 28
[2] Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 126
[3] Deming R W, Devaney A J 1997 Inverse Problem 13 29
[4] Cui T J, Chew W C 2003 Int. J. Imag. Syst. Tech. 41 2197
[5] Meaney P M, Paulsen K D, Hartov A, Crane R K 1996 IEEE Trans. Biomed. Eng. 43 878
[6] Li F H, Liu Q H, Song L P 2004 IEEE Geosci. Remote Sens. Lett. 1 107
[7] Song L P, Yu C, Liu Q H 2005 IEEE Trans. Geosci. Remote Sens. 43 2793
[8] Yang J, Fan D Y, Wang S J, Gu Y 2000 Chin. Phys. B 9 119
[9] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 5130 (in Chinese) [郭立新, 王运华, 吴振森 2005 物理学报 54 5130]
[10] Zhu R J, Wang J, Ou D R, Zhu J, Jin G F 2005 Chin. Phys. Lett. 22 1906
[11] Li Y L, Huang J Y, Wang M J 2008 Acta Phys. Sin. 57 7630 (in Chinese) [李应乐, 黄际英, 王明军 2008 物理学报 57 7630]
[12] Dai S Y, Wu Z S, Xu Y B 2007 Acta Phys. Sin. 56 786 (in Chinese) [代少玉, 吴振森, 徐仰彬 2007 物理学报 56 786]
[13] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 96 (in Chinese) [郭立新, 王运华, 吴振森 2005 物理学报 54 96]
[14] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 物理学报 52 3035]
[15] Chen X D 2010 IEEE Trans. Geosci. Remote Sens. 48 42
[16] Simsek E, Liu J G, Liu Q H 2006 IEEE Trans. Antennas Propag. 54 1742
[17] Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509 (in Chinese) [杨利霞, 葛德彪, 魏兵 2007 物理学报 56 4509]
[18] Yang L X, Ge D B, Wang G, Yan S 2007 Acta Phys. Sin. 56 6937 (in Chinese) [杨利霞, 葛德彪, 王刚, 阎述 2007 物理学报 56 6937]
[19] Tang W, Yan Y B, Li Q L, Wu Z S 2004 Acta Phys. Sin. 53 4173 (in Chinese) [汤炜, 闫玉波, 李清亮, 吴振森 2004 物理学报 53 4173]
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[1] Sullivan D M 1996 IEEE Trans. Antennas Propag. 44 28
[2] Xu L J, Yuan N C 2005 IEEE Microw. Wireless Compon. Lett. 15 126
[3] Deming R W, Devaney A J 1997 Inverse Problem 13 29
[4] Cui T J, Chew W C 2003 Int. J. Imag. Syst. Tech. 41 2197
[5] Meaney P M, Paulsen K D, Hartov A, Crane R K 1996 IEEE Trans. Biomed. Eng. 43 878
[6] Li F H, Liu Q H, Song L P 2004 IEEE Geosci. Remote Sens. Lett. 1 107
[7] Song L P, Yu C, Liu Q H 2005 IEEE Trans. Geosci. Remote Sens. 43 2793
[8] Yang J, Fan D Y, Wang S J, Gu Y 2000 Chin. Phys. B 9 119
[9] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 5130 (in Chinese) [郭立新, 王运华, 吴振森 2005 物理学报 54 5130]
[10] Zhu R J, Wang J, Ou D R, Zhu J, Jin G F 2005 Chin. Phys. Lett. 22 1906
[11] Li Y L, Huang J Y, Wang M J 2008 Acta Phys. Sin. 57 7630 (in Chinese) [李应乐, 黄际英, 王明军 2008 物理学报 57 7630]
[12] Dai S Y, Wu Z S, Xu Y B 2007 Acta Phys. Sin. 56 786 (in Chinese) [代少玉, 吴振森, 徐仰彬 2007 物理学报 56 786]
[13] Guo L X, Wang Y H, Wu Z S 2005 Acta Phys. Sin. 54 96 (in Chinese) [郭立新, 王运华, 吴振森 2005 物理学报 54 96]
[14] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 物理学报 52 3035]
[15] Chen X D 2010 IEEE Trans. Geosci. Remote Sens. 48 42
[16] Simsek E, Liu J G, Liu Q H 2006 IEEE Trans. Antennas Propag. 54 1742
[17] Yang L X, Ge D B, Wei B 2007 Acta Phys. Sin. 56 4509 (in Chinese) [杨利霞, 葛德彪, 魏兵 2007 物理学报 56 4509]
[18] Yang L X, Ge D B, Wang G, Yan S 2007 Acta Phys. Sin. 56 6937 (in Chinese) [杨利霞, 葛德彪, 王刚, 阎述 2007 物理学报 56 6937]
[19] Tang W, Yan Y B, Li Q L, Wu Z S 2004 Acta Phys. Sin. 53 4173 (in Chinese) [汤炜, 闫玉波, 李清亮, 吴振森 2004 物理学报 53 4173]
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