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Coherent field imaging is based on the assumption of equal transmitting apertures spacing and equal spectrum of laser, and high-resolution image is reconstructed by iteratively computing the frequency spectrum. However, the inevitable transmitting aperture spacing error of laser is a key factor to affect the coherent field imaging quality in the application. Aiming at the problem of degrading imaging quality caused by the transmitting aperture spacing error, we discuss the mechanism of influence of aperture spacing error on imaging quality and propose a novel method of improving imaging quality from the perspective of suppressing the influence of transmitting aperture spacing error. Firstly, the mechanism of the influence of aperture spacing error on imaging quality and laser echo spectrum is analyzed in detail. Then we derive a frequency spectrum error propagation model. Based on the model, the iterative effect of frequency spectrum error is investigated and the trend of variation in imaging quality with frequency spectrum error is given. We propose a theoretical equation, in which the transmitting aperture spacing error has no influence on frequency spectrum nor imaging quality. To solve the above equation, an optimized method of linear programming is proposed and the optimized matrix of aperture spacing error is obtained. In practice, the influence of aperture spacing error on imaging quality can be largely counteracted by reasonably allocating aperture spacing error according to the optimized spacing error matrix. The correctness and validity of the theoretical model are verified by a simulation experiment. The results show that the Strehl ratio of imaging quality index can be improved by about 100% through using the proposed method, the greater the aperture spacing error, the higher the Strehl ratio of imaging quality index obtained by the method will be. In addition, the method is easy to use practically and less costly as well. Finally, it is concluded that the proposed method can easily and effectively counteract the degrading effect of aperture spacing error on imaging quality. The research can provide a theoretical basis for improving imaging quality and reasonably assigning transmitter aperture spacing accuracy of coherent field imaging telescope.
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Keywords:
- transmitting aperture spacing error /
- frequency spectrum error /
- imaging quality /
- coherent field imaging
[1] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 J. Opt. Soc. Am. A 13 351
[2] Holmes R B, Brinkley T 1999 Proc. SPIE 3815 11
[3] Rhodes W T 2012 Appl. Opt. 51 A11
[4] Cuellar E L, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[5] Liu R F, Yuan X X, Fang Y Z, Zhang P, Zhou Y, Gao H, Li F L 2014 Chin. Phys. B 23 054202
[6] Fu J, Li P 2013 Chin. Phys. B 22 014204
[7] Yu S H, Wang J L, Dong L, Liu X Y, Wang G C 2014 Acta Phys Sin. 63 104203 (in Chinese) [司庆丹, 罗秀娟, 曾志红 2014 物理学报 63 104203]
[8] Luo X J, Zhang Y, Sun X, Cao B, Zeng Z H, Xia A L, Li L B, Zhu S L 2013 Acta Opt. Sin. 33 0801004 (in Chinese) [罗秀娟, 张羽, 孙鑫, 曹蓓, 曾志红, 夏爱利, 李立波, 朱少岚 2013 光学学报 33 0801004]
[9] Zeng Z H, Luo X J, Wang B F, Xia A L, Cheng Z Y, Si Q D 2014 Acta Photon. Sin. 43 0601002 (in Chinese) [曾志红, 罗秀娟, 王保峰, 夏爱利, 程志远, 司庆丹 2014 光子学报 43 0601002]
[10] Xiang L B, Zhang W X, Wu Z, L X Y, Li Y, Zhou Z S, Kong X X 2013 Acta Phys. Sin. 62 224201 (in Chinese) [相里斌, 张文喜, 伍洲, 吕笑宇, 李杨, 周志盛, 孔新新 2013 物理学报 62 224201]
[11] Ye S, Liu Y, Wu J 2011 High Power Laser Particle Beams 23 611 (in Chinese) [叶溯, 刘艺, 吴健 2011 强激光与粒子束 23 611]
[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, 李杨, 伍洲, 周志胜 2013 物理学报 62 164203]
[13] Jiang Z Y, Li L, Huang Y F 2009 Chin. Phys. B 18 2774
[14] Li Y 2013 Ph. D. Dissertation (Xi’an: Chinese Academy Scienses University) (in Chinese) [李杨 2013 博士学位论文 (西安: 中国科学院大学)]
[15] Kong X X, Huang M, Zhang W X 2012 Acta Opt. Sin. 32 1211001 (in Chinese) [孔新新, 黄旻, 张文喜 2012 光学学报 32 1211001]
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[1] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 J. Opt. Soc. Am. A 13 351
[2] Holmes R B, Brinkley T 1999 Proc. SPIE 3815 11
[3] Rhodes W T 2012 Appl. Opt. 51 A11
[4] Cuellar E L, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[5] Liu R F, Yuan X X, Fang Y Z, Zhang P, Zhou Y, Gao H, Li F L 2014 Chin. Phys. B 23 054202
[6] Fu J, Li P 2013 Chin. Phys. B 22 014204
[7] Yu S H, Wang J L, Dong L, Liu X Y, Wang G C 2014 Acta Phys Sin. 63 104203 (in Chinese) [司庆丹, 罗秀娟, 曾志红 2014 物理学报 63 104203]
[8] Luo X J, Zhang Y, Sun X, Cao B, Zeng Z H, Xia A L, Li L B, Zhu S L 2013 Acta Opt. Sin. 33 0801004 (in Chinese) [罗秀娟, 张羽, 孙鑫, 曹蓓, 曾志红, 夏爱利, 李立波, 朱少岚 2013 光学学报 33 0801004]
[9] Zeng Z H, Luo X J, Wang B F, Xia A L, Cheng Z Y, Si Q D 2014 Acta Photon. Sin. 43 0601002 (in Chinese) [曾志红, 罗秀娟, 王保峰, 夏爱利, 程志远, 司庆丹 2014 光子学报 43 0601002]
[10] Xiang L B, Zhang W X, Wu Z, L X Y, Li Y, Zhou Z S, Kong X X 2013 Acta Phys. Sin. 62 224201 (in Chinese) [相里斌, 张文喜, 伍洲, 吕笑宇, 李杨, 周志盛, 孔新新 2013 物理学报 62 224201]
[11] Ye S, Liu Y, Wu J 2011 High Power Laser Particle Beams 23 611 (in Chinese) [叶溯, 刘艺, 吴健 2011 强激光与粒子束 23 611]
[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, 李杨, 伍洲, 周志胜 2013 物理学报 62 164203]
[13] Jiang Z Y, Li L, Huang Y F 2009 Chin. Phys. B 18 2774
[14] Li Y 2013 Ph. D. Dissertation (Xi’an: Chinese Academy Scienses University) (in Chinese) [李杨 2013 博士学位论文 (西安: 中国科学院大学)]
[15] Kong X X, Huang M, Zhang W X 2012 Acta Opt. Sin. 32 1211001 (in Chinese) [孔新新, 黄旻, 张文喜 2012 光学学报 32 1211001]
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