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Fourier telescopy can realize high resolution imaging to remote, small and dim target by using laser as the light source. The signal-to-noise ratio of imaging system is easy to improve by increasing the area of receiver. However, numerical simulation shows that the reconstruction images sometimes has a virtual phenomenon. It reduces the quality of reconstruction images, and even cannot have a resolution to the imaging target. Based on Fourier telescopy imaging principle, using T type transmitting array, the reason of forming virtual images is indicated by mathematical deduction. The spatial frequency error between the actual getting and setting would be produced when the laser beams scan the x or y axis with pitch error. The error would cause the random phase influence when calculating the single Fourier frequency of target by using phase closure on the axis and quadrant scan. Using integrated spatial frequency of transmitter array to reconstruct the image of target would cause a virtual phenomenon. By contrasting reconstruction images it is found that the image quality is reduced seriously, even the virtual phenomenon appears when the transmitting system is axially scanned with pitch error, and it decreases slightly on quadrant scan. In the present paper, we consider the reason of the phase closure of quadrant of T type transmitting array relies on axial frequency. At the same pitch error, different scan methods would cause different reconstruction images. The directions of virtual images are the same within the axial error. The computer simulation confirms the validity of the above analysis by three different modes of transmitter array through using the next field experiment parameters.
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Keywords:
- Fourier telescopy /
- spatial frequency error /
- image reconstruction
[1] Holmes R, MacGovern A, Bhowmik A 1994 Proceedings of the 1994 Space Surveillance Workshop p135
[2] Holmes R B, Ma S, Bhowmik A, Greninger C 1995 SPIE 2566 177
[3] MacDonalda K R, Boger J K, Fetrow M, Long S 1999 SPIE 3815 23
[4] Holmes R B, Brinkley T 1999 SPIE 3815 11
[5] Mathis J, Stapp J, Louis E L, Cooper J, Morris A, Fairchild P, Hult D, Koski K, Ramzel L, Thornton M A 2005 SPIE 5896 58960F
[6] Cuellar E L, Stapp J, Cooper J 2005 SPIE 5896 58960D
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[8] Spivey B, Stapp J, Sandler D 2006 SPIE 6307 630702
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[10] Yu S H, Wang J L, Dong L, Liu X Y 2012 Opt. Precision Eng. 20 2275 (in Chinese) [于树海, 王建立, 董磊, 刘欣悦 2012 光学精密工程 20 2275]
[11] Yu S H, Wang J L, Dong L, Liu X Y, Wang L 2015 Opt. Precision Eng. 23 282 (in Chinese) [于树海, 王建立, 董磊, 刘欣悦, 王亮 2015 光学 精密工程 23 282]
[12] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203(in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍洲, 周志盛 2013 62 164203]
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[16] Jia J L, Wang J L, Zhao J Y, Wang G Q 2013 Opt. Precision Eng. 21 1026 (in Chinese) [贾建禄, 王建立, 赵金宇, 王国强 2013 光学 精密工程 21 1026]
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[18] Zhang Y, Yang C P, Guo J, Kang M L, Wu J 2011 HPLPB 23 571 (in Chinese) [张炎, 杨春平, 郭晶, 康美岺, 吴健 2011 强激光与粒子束 23 571]
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[1] Holmes R, MacGovern A, Bhowmik A 1994 Proceedings of the 1994 Space Surveillance Workshop p135
[2] Holmes R B, Ma S, Bhowmik A, Greninger C 1995 SPIE 2566 177
[3] MacDonalda K R, Boger J K, Fetrow M, Long S 1999 SPIE 3815 23
[4] Holmes R B, Brinkley T 1999 SPIE 3815 11
[5] Mathis J, Stapp J, Louis E L, Cooper J, Morris A, Fairchild P, Hult D, Koski K, Ramzel L, Thornton M A 2005 SPIE 5896 58960F
[6] Cuellar E L, Stapp J, Cooper J 2005 SPIE 5896 58960D
[7] Ford S D, Voelz D G, Gamiz V L, Storm S L, Czyzak S R 1999 SPIE 3815 2
[8] Spivey B, Stapp J, Sandler D 2006 SPIE 6307 630702
[9] Yu S H, Wang J L, Dong L, Liu X Y, Wang G C 2013 Acta Opt. Sin. 33 0811001 (in Chinese) [于树海, 王建立, 董磊, 刘欣悦, 王国聪 2013 光学学报 33 0811001]
[10] Yu S H, Wang J L, Dong L, Liu X Y 2012 Opt. Precision Eng. 20 2275 (in Chinese) [于树海, 王建立, 董磊, 刘欣悦 2012 光学精密工程 20 2275]
[11] Yu S H, Wang J L, Dong L, Liu X Y, Wang L 2015 Opt. Precision Eng. 23 282 (in Chinese) [于树海, 王建立, 董磊, 刘欣悦, 王亮 2015 光学 精密工程 23 282]
[12] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203(in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍洲, 周志盛 2013 62 164203]
[13] Si Q D, Luo X J, Zeng Z H 2014 Acta Phys. Sin. 63 104203(in Chinese) [司庆丹, 罗秀娟, 曾志红 2014 63 104203]
[14] Chen W, Li Q, Wang Y G 2011 Acta Opt. Sin. 31 0311001 (in Chinese) [陈卫, 黎全, 王雁桂 2011 光学学报 2011 31 0311001]
[15] Jia J L, Wang J L, Zhao J Y, Liu X Y, Li H W, Wang L, Lin X D, Zhao Y F 2013 Opt. Precision Eng. 21 1387 (in Chinese) [贾建禄, 王建立, 赵金宇, 刘欣悦, 李洪文, 王亮, 林旭东, 赵雨菲 2013 光学 精密工程 21 1387]
[16] Jia J L, Wang J L, Zhao J Y, Wang G Q 2013 Opt. Precision Eng. 21 1026 (in Chinese) [贾建禄, 王建立, 赵金宇, 王国强 2013 光学 精密工程 21 1026]
[17] Lin X D, Liu X Y, Wang J L, Wang F G, Wei P F 2013 Opt. Precision Eng. 21 267 (in Chinese) [林旭东, 刘欣悦, 王建立, 王富国, 卫沛锋 2013 光学 精密工程 21 267]
[18] Zhang Y, Yang C P, Guo J, Kang M L, Wu J 2011 HPLPB 23 571 (in Chinese) [张炎, 杨春平, 郭晶, 康美岺, 吴健 2011 强激光与粒子束 23 571]
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