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稀疏光学合成孔径系统中,共相探测环节检测子孔径间的相位平移误差,为系统高分辨力的实现提供重要支持. 文章从基本的物理原理出发,分析了系统远场与相位平移误差的关系,并以此为基础,从数学上阐明了相位平移误差对系统远场图像的影响机制.进一步,针对典型的两孔径系统,提出了一种新的基于远场相似度的共相探测方法,并对其可行性、原理性偏差和动态范围进行了仿真分析.结果表明,该方法在原理上可实现对两孔径系统相位平移误差的良好标定,且避免了一些既有方法可能存在的2模糊性及无法判断符号的问题,具有一定的动态范围,为共相探测新技术的进一步研究提供了有效参考.For the sparse-optical-synthetic-aperture telescope system, the co-phasing detection plays an important role for the realization of system's high resolution in solving out piston errors between sub-apertures. In this paper, the relationship between piston error and system's far-field intensity was analyzed based on physical principles, then the impact of piston error on system's far-field images was clarified theoretically. Furthermore, an innovative co-phasing detecting method based on the far-field images' similarity was approved for the bi-sub-aperture systems, with its feasibility, detecting deviation and dynamic range were researched by simulation. The results proved that, with this method, the piston error between the system's two sub-apertures can be soundly detected principally while immune from the problems of 2 ambiguity and direction decision that might exist within some other co-phasing detecting methods. Plus its dynamic range shown from these results, this new co-phasing detecting method provides effective references for deeper research of co-phasing detecting techniques.
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Keywords:
- sparse-optical-synthetic-aperture system /
- far-field image /
- piston error /
- co-phasing detection
[1] Meinel A B 1970 Appl. Opt. 9 2501
[2] Burton D, Neil O, De Hainaut C R 1990 Proc. SPIE 1236 406
[3] Nicholas J M, Matthew P D, Bradley D D 2007 Appl. Opt. 46 5933
[4] Yue J Y, Liu H, Lu Z W, Xu W B, Zhang H, Zhang H X, Liu Y 2010 Chin. Phys. B 19 010702
[5] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese)[白福忠, 饶长辉 2010 物理学报 59 4056]
[6] Liu Z, Wang S Q, Huang L H, Rao C H 2011 Acta Phys. Sin. 60 7804 (in Chinese)[刘政, 王胜千, 黄林海, 饶长辉 2011 物理学报 60 7804]
[7] Luc D 1993 Proc. SPIE 1947 161
[8] Zhao W R, Cao G R 2011 Opt. Exp. 19 8670
[9] Cao F, Wu Z, Zhu Y T 2008 Astron Resear. Tech. 5 288 (in Chinese)[曹芳, 吴桢, 朱永田 2008 天文研究与技术 5 288]
[10] Bolcar M R, Fienup J R 2009 Appl. Opt. 48 A5
[11] Li F, Rao C H 2011 High Power Laser Part. Beams 3 37 (in Chinese)[李斐, 饶长辉 2011 强激光与粒子束 3 37]
[12] Fienup J R 1987 J. Opt. Soc. Am. A 4 118
[13] Fienup J R, Kowalczyk A M 1990 J. Opt. Soc. Am. A 7 450
[14] Wizinowich P, Lloyd-Hart M, McLeod B, Colucci D, Dekany R, Wittman D, Angel R, McCarthy D, Hulburd B, Sandler D 1991 Proc. SPIE 1542 148
[15] Robert D S, Alice L P 2001 Proc. SPIE 4441 60
[16] Diolaiti A T, Ragazzoni R, Ferruzi D 2003 Proc. SPIE 4839 299
[17] Wang J X, Bai F Z, Ning Y, Jiang W H 2011 Acta Phys. Sin. 60 029501 (in Chinese)[王建新, 白福忠, 宁禹, 姜文汉 2011 物理学报 60 029501]
[18] Lydia M, Andreas E, Matthew H, Bettina L, Steffen R 2010 Proc. SPIE 7734 77342X1
[19] Matthew H, Andreas E, Bettina L, Uwe L, Lydia M, Steffen R 2010 Proc. SPIE 7734 77341X1
[20] Mel N, Larry B, John C, Bruce H 2010 Opt. Exp. 18 13051
[21] Watson S M, Mills J P, Rogers S K 1988 J. Opt. Soc. Am. A 5 893
[22] Born M, Wolf E 1975 Principles Of Optics-Electromagnetic Theory of Propagation, Interference and Diffraction of Light (5th ed)(New York:Pergamon Press)517-520
[23] Goodman J R 1968 Introduction to Fourier Optics (Columbus: McGraw-Hill Press)pp36–40
[24] Ma X Y, Rao C H, Zheng H Q 2009 Opt. Exp. 17 8525
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[1] Meinel A B 1970 Appl. Opt. 9 2501
[2] Burton D, Neil O, De Hainaut C R 1990 Proc. SPIE 1236 406
[3] Nicholas J M, Matthew P D, Bradley D D 2007 Appl. Opt. 46 5933
[4] Yue J Y, Liu H, Lu Z W, Xu W B, Zhang H, Zhang H X, Liu Y 2010 Chin. Phys. B 19 010702
[5] Bai F Z, Rao C H 2010 Acta Phys. Sin. 59 4056 (in Chinese)[白福忠, 饶长辉 2010 物理学报 59 4056]
[6] Liu Z, Wang S Q, Huang L H, Rao C H 2011 Acta Phys. Sin. 60 7804 (in Chinese)[刘政, 王胜千, 黄林海, 饶长辉 2011 物理学报 60 7804]
[7] Luc D 1993 Proc. SPIE 1947 161
[8] Zhao W R, Cao G R 2011 Opt. Exp. 19 8670
[9] Cao F, Wu Z, Zhu Y T 2008 Astron Resear. Tech. 5 288 (in Chinese)[曹芳, 吴桢, 朱永田 2008 天文研究与技术 5 288]
[10] Bolcar M R, Fienup J R 2009 Appl. Opt. 48 A5
[11] Li F, Rao C H 2011 High Power Laser Part. Beams 3 37 (in Chinese)[李斐, 饶长辉 2011 强激光与粒子束 3 37]
[12] Fienup J R 1987 J. Opt. Soc. Am. A 4 118
[13] Fienup J R, Kowalczyk A M 1990 J. Opt. Soc. Am. A 7 450
[14] Wizinowich P, Lloyd-Hart M, McLeod B, Colucci D, Dekany R, Wittman D, Angel R, McCarthy D, Hulburd B, Sandler D 1991 Proc. SPIE 1542 148
[15] Robert D S, Alice L P 2001 Proc. SPIE 4441 60
[16] Diolaiti A T, Ragazzoni R, Ferruzi D 2003 Proc. SPIE 4839 299
[17] Wang J X, Bai F Z, Ning Y, Jiang W H 2011 Acta Phys. Sin. 60 029501 (in Chinese)[王建新, 白福忠, 宁禹, 姜文汉 2011 物理学报 60 029501]
[18] Lydia M, Andreas E, Matthew H, Bettina L, Steffen R 2010 Proc. SPIE 7734 77342X1
[19] Matthew H, Andreas E, Bettina L, Uwe L, Lydia M, Steffen R 2010 Proc. SPIE 7734 77341X1
[20] Mel N, Larry B, John C, Bruce H 2010 Opt. Exp. 18 13051
[21] Watson S M, Mills J P, Rogers S K 1988 J. Opt. Soc. Am. A 5 893
[22] Born M, Wolf E 1975 Principles Of Optics-Electromagnetic Theory of Propagation, Interference and Diffraction of Light (5th ed)(New York:Pergamon Press)517-520
[23] Goodman J R 1968 Introduction to Fourier Optics (Columbus: McGraw-Hill Press)pp36–40
[24] Ma X Y, Rao C H, Zheng H Q 2009 Opt. Exp. 17 8525
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