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Coherent imaging with a multi-beam laser is considered as a key technique in ground based imaging. The image quality is directly determined by stability and consistency of each beam in transmitter. Although the stabilities of laser frequency and the drifting compensation methods have been studied previously, they mostly focused on the laser source. In most cases, especially in large transmitter array, however, transmitted beams are always disturbed by different influential factors, such as frequency drift induced by acoustic-optical modulation (AOM) and high power driven amplification. Therefore this kind of frequency drifting needs further rectification. Aiming at this problem, in this paper we propose two new methods called dynamic demodulation and dependence range demodulation. Firstly, the dynamic demodulation takes the whole drifting frequency drift as a changing procedure. It is believed that the beat frequency drifted at any position still carries the target information, so the system demodulates the signal at that drifted position. According to this method, the response speed of the demodulation system should be very high. But in a real system this acquisition is too high to be satisfied. It cannot work as quickly as expected. In computer simulation some slow varying drifts are induced at the beat frequency and the variation is distributed only in three parts of spatial frequency of transmitter interfering array. Simulation results show that this method may well compensate for slow drifting beat frequency. While its response speed is often limited by hardware system. On the other hand, for the dependence range demodulation, the beat drifting range is considered as a useful district, in which all the beat energy is added and demodulated at a preset position. An experiment is carried out to verify this method. The result demonstrates that it can well restrict the beat frequency drift within 100 Hz, which often happens in the procedure of AOM and driving amplification. Besides the laboratory setup research, the field experiments in 200 m and 1.5 km range are also carried out. The dependence range demodulation is proved to be well performed as well. The resolution of the 25 cm simulated target in 1.5 km reaches 0.008 rad. In the consideration of real system, the imaging range is further expanded and the amplifier power is stronger. The field experiments reveal that this demodulation method is applicable in such a condition. Therefore the research in this article provides some new techniques for the remote high resolution imaging in multi-beam laser interfering imaging.
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Keywords:
- coherent imaging /
- multi-beam /
- beat frequency drift /
- dependence range
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[2] Lu C M, Gao X, Tang J, Wang J J 2012 Proc. SPIE 8551 855110
[3] 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, 伍州, 周志盛 2013 物理学报 62 164203]
[4] Zhang Y, Luo X J, Cao B, Chen M L, Liu H, Xia A L, Lan F Y 2016 Acta Phys. Sin. 65 114201 (in Chinese)[张羽, 罗秀娟, 曹蓓, 陈明徕, 刘辉, 夏爱利, 兰富洋 2016 物理学报 65 114201]
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[6] Hutchin R A 2012 US Patent 0292481 A1
[7] Chen M L, Luo X J, Zhang Y, Lan F Y, Liu H, Cao B, Xia A L 2017 Acta Phys. Sin. 66 024203 (in Chinese)[陈明徕, 罗秀娟, 张羽, 兰富洋, 刘辉, 曹蓓, 夏爱利 2017 物理学报 66 024203]
[8] Lu C M, Chen M L, Luo X J, Zhang Y, Liu H, Lan F Y, Cao B 2017 Acta Phys. Sin. 66 114201 (in Chinese)[陆长明, 陈明徕, 罗秀娟, 张羽, 刘辉, 兰富洋, 曹蓓 2017 物理学报 66 114201]
[9] Lan F Y, Luo X J, Chen M L, Zhang Y, Liu H 2017 Acta Phys. Sin. 66 204202 (in Chinese)[兰富洋, 罗秀娟, 陈明徕, 张羽, 刘辉 2017 物理学报 66 204202]
[10] Montilla I, Bechet C, Louarn L, Reyes M 2010 J. Opt. Soc. Am. 27 A9
[11] William T 2012 Appl. Opt. 51 A11
[12] Daissy H, Garces, William T 2010 Digital Holography and Three-Dimensional Imaging (Miami) DTuB8
[13] Stephen T, Ridgway, Kenneth H 2010 Proc. SPIE 7735 77356Z-1
[14] 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]
[15] Kong X X, Huang M, Zhang W X, Wu Z, Li Y, Zhou Z S 2013 Laser Optoelectron. Prog. 50 011102 (in Chinese)[孔新新, 黄旻, 张文喜, 伍洲, 李扬, 周志盛 2013 激光与光电子学进展 50 011102]
[16] Cao B, Luo X J, Chen M L, Zhang Y 2015 Acta Phys. Sin. 64 124205 (in Chinese)[曹蓓, 罗秀娟, 陈明徕, 张羽 2015 物理学报 64 124205]
[17] Chen W, Li Q, Wang Y G 2010 Acta Opt. Sin. 30 3441 (in Chinese)[陈卫, 黎全, 王雁桂 2010 光学学报 30 3441]
[18] Holmes R B, Brinkley T 1996 Proc. SPIE 3815 11
[19] Cuellar E L, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[20] Matwyschuk A 2017 Appl. Opt. 56 7766
[21] Mansmann R, Thomson K, Smallwood G, Dreier T, Schulz C 2017 Opt. Express 25 2413
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[1] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 J. Opt. Soc. Am. A 13 351
[2] Lu C M, Gao X, Tang J, Wang J J 2012 Proc. SPIE 8551 855110
[3] 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, 伍州, 周志盛 2013 物理学报 62 164203]
[4] Zhang Y, Luo X J, Cao B, Chen M L, Liu H, Xia A L, Lan F Y 2016 Acta Phys. Sin. 65 114201 (in Chinese)[张羽, 罗秀娟, 曹蓓, 陈明徕, 刘辉, 夏爱利, 兰富洋 2016 物理学报 65 114201]
[5] Dong L, Wang B, Liu X Y 2010 Chin. J. Opt. Appl. Opt. 3 440 (in Chinese)[董磊, 王斌, 刘欣悦 2010 中国光学与应用光学 3 440]
[6] Hutchin R A 2012 US Patent 0292481 A1
[7] Chen M L, Luo X J, Zhang Y, Lan F Y, Liu H, Cao B, Xia A L 2017 Acta Phys. Sin. 66 024203 (in Chinese)[陈明徕, 罗秀娟, 张羽, 兰富洋, 刘辉, 曹蓓, 夏爱利 2017 物理学报 66 024203]
[8] Lu C M, Chen M L, Luo X J, Zhang Y, Liu H, Lan F Y, Cao B 2017 Acta Phys. Sin. 66 114201 (in Chinese)[陆长明, 陈明徕, 罗秀娟, 张羽, 刘辉, 兰富洋, 曹蓓 2017 物理学报 66 114201]
[9] Lan F Y, Luo X J, Chen M L, Zhang Y, Liu H 2017 Acta Phys. Sin. 66 204202 (in Chinese)[兰富洋, 罗秀娟, 陈明徕, 张羽, 刘辉 2017 物理学报 66 204202]
[10] Montilla I, Bechet C, Louarn L, Reyes M 2010 J. Opt. Soc. Am. 27 A9
[11] William T 2012 Appl. Opt. 51 A11
[12] Daissy H, Garces, William T 2010 Digital Holography and Three-Dimensional Imaging (Miami) DTuB8
[13] Stephen T, Ridgway, Kenneth H 2010 Proc. SPIE 7735 77356Z-1
[14] 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]
[15] Kong X X, Huang M, Zhang W X, Wu Z, Li Y, Zhou Z S 2013 Laser Optoelectron. Prog. 50 011102 (in Chinese)[孔新新, 黄旻, 张文喜, 伍洲, 李扬, 周志盛 2013 激光与光电子学进展 50 011102]
[16] Cao B, Luo X J, Chen M L, Zhang Y 2015 Acta Phys. Sin. 64 124205 (in Chinese)[曹蓓, 罗秀娟, 陈明徕, 张羽 2015 物理学报 64 124205]
[17] Chen W, Li Q, Wang Y G 2010 Acta Opt. Sin. 30 3441 (in Chinese)[陈卫, 黎全, 王雁桂 2010 光学学报 30 3441]
[18] Holmes R B, Brinkley T 1996 Proc. SPIE 3815 11
[19] Cuellar E L, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[20] Matwyschuk A 2017 Appl. Opt. 56 7766
[21] Mansmann R, Thomson K, Smallwood G, Dreier T, Schulz C 2017 Opt. Express 25 2413
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