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For the Fizeau optical interferometric telescope system, the co-phasing detection of piston errors between sub-apertures plays an important role in realizing the high resolution of system. In this paper, the relationship between piston error and the main peak displacement of monochromatic interferogram of two sub-aperture system is analyzed based on physical principles, then the piston error detecting method is developed and clarified based on their linear relationship in the range of one wavelength. Furthermore, an innovative co-phasing detecting method based on grating dispersed interferogram with bandwidth light source is proposed, and its feasibility, detecting precision and dynamic range are analyzed in theory and studied in simulation. The results prove that with this method, the piston error between the two sub-apertures of the system can be soundly detected and its measuring error is less than 20 nm while the piston error is not more than 50 μm. In addition, the novel method solves the problems of 2π ambiguity and direction determination that might exist within some other detecting methods. Besides its millimeter level dynamic range, this new co-phasing detecting method provides a new way and an effective reference for in-depth research of co-phasing detecting techniques.
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Keywords:
- Fizeau optical interferometric telescope /
- dispersed interferometer /
- piston error /
- co-phasing detecting
[1] Herbst T, Hinz P 2004 SPIE 5491 383
[2] Herbst T, Ragazzoni R, Eckart A, Weigelt G 2008 SPIE 7013 7013261
[3] Jerry N, Gary H S, Larry M S, Roberto G 2008 SPIE 7012 70121A1
[4] Chanan G, Troy M, Sirko E 1999 Appl. Opt. 38 704
[5] Gonte F, Mazzoleni R, Surdej I, Noethe L 2011 Appl. Opt. 50 1660
[6] de Young D B, Dillow J, Corcoran S, Andrews E, Yellowhair J, de Vries K 1998 SPIE 3356 1156
[7] Su D Q, Zou W Y, Zhang Z C, Qu Y G, Yang S Y, Wang L J, Rao Y M 2000 SPIE 4003 417
[8] Song H L, Xian H, Huang J, Jiang W H 2008 High Power Laser and Particle Beams 20 41 (in Chinese) [宋贺伦, 鲜浩, 黄健, 姜文汉 2008 强激光与粒子束 20 41]
[9] Song H L, Xian H, Li H Q, Huang J, Li C H, Jiang W H 2008 J. Appl. Opt. 29 298 (in Chinese) [宋贺伦, 鲜浩, 李华强, 黄健, 李超宏, 姜文汉 2008 应用光学 29 298]
[10] Esposito S, Pinna E, Tozzi A, Stefanini P, Devaney N 2003 SPIE 5169 72
[11] Zhu N H, Chen X Y, Zhou D, Cao J J 2009 Chin. J. Sens. Actuat. 22 433 (in Chinese) [朱能鸿, 陈欣扬, 周丹, 曹建军 2009 传感技术学报 22 433]
[12] Chanan G, Troy M, Dekens F, Michaels S, Nelson J, Mast T, Kirkman D 1998 Appl. Opt. 37 140
[13] Chanan G, Ohara C, Troy M 2000 Appl. Opt. 39 4706
[14] Shi F, Redding D C, Lowman A E, Bowers C W, Burns L A, Petrone III P, Ohara C M, Basinger S A 2003 SPIE 4850 318
[15] Shi F, Chanan G, Ohara C, Mitchell T, David C R 2004 Appl. Opt. 43 4474
[16] Zhang Y, Zhang L, Liu G R, Wang Y F, Zhang Y J, Zeng Y Z, Li Y P 2011 Acta Opt. Sin. 31 84 (in Chinese) [张勇, 张靓, 刘根荣, 王跃飞, 张亚俊, 曾裔中, 李烨平 2011 光学学报 31 84]
[17] Tremou E, Eckart A, Horrobin M, Lindhorst B, Moser L, Rost S, Smajic S, Straubmeier C, Wank I, Zuther J, Bertram T 2010 SPIE 7734 7734411
[18] Liu Z, Wang S Q, Rao C H 2012 Acta Phys. Sin. 61 039501 (in Chinese) [刘政, 王胜千, 饶长辉 2012 物理学报 61 039501]
[19] Liu Z, Wang S Q, Rao C H 2012 Chin. Phys. B 21 604
[20] Luo Q, Huang L H, Gu N T, Li F, Rao C H 2012 Acta Phys. Sin. 61 069501 (in Chinese) [罗群, 黄林海, 顾乃庭, 李斐, 饶长辉 2012 物理学报 61 069501]
[21] Liu Z, Wang S Q, Huang L H, Rao C H 2011 Acta Phys. Sin. 60 100702 (in Chinese) [刘政, 王胜千, 黄林海, 饶长辉 2011 物理学报 60 100702]
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[1] Herbst T, Hinz P 2004 SPIE 5491 383
[2] Herbst T, Ragazzoni R, Eckart A, Weigelt G 2008 SPIE 7013 7013261
[3] Jerry N, Gary H S, Larry M S, Roberto G 2008 SPIE 7012 70121A1
[4] Chanan G, Troy M, Sirko E 1999 Appl. Opt. 38 704
[5] Gonte F, Mazzoleni R, Surdej I, Noethe L 2011 Appl. Opt. 50 1660
[6] de Young D B, Dillow J, Corcoran S, Andrews E, Yellowhair J, de Vries K 1998 SPIE 3356 1156
[7] Su D Q, Zou W Y, Zhang Z C, Qu Y G, Yang S Y, Wang L J, Rao Y M 2000 SPIE 4003 417
[8] Song H L, Xian H, Huang J, Jiang W H 2008 High Power Laser and Particle Beams 20 41 (in Chinese) [宋贺伦, 鲜浩, 黄健, 姜文汉 2008 强激光与粒子束 20 41]
[9] Song H L, Xian H, Li H Q, Huang J, Li C H, Jiang W H 2008 J. Appl. Opt. 29 298 (in Chinese) [宋贺伦, 鲜浩, 李华强, 黄健, 李超宏, 姜文汉 2008 应用光学 29 298]
[10] Esposito S, Pinna E, Tozzi A, Stefanini P, Devaney N 2003 SPIE 5169 72
[11] Zhu N H, Chen X Y, Zhou D, Cao J J 2009 Chin. J. Sens. Actuat. 22 433 (in Chinese) [朱能鸿, 陈欣扬, 周丹, 曹建军 2009 传感技术学报 22 433]
[12] Chanan G, Troy M, Dekens F, Michaels S, Nelson J, Mast T, Kirkman D 1998 Appl. Opt. 37 140
[13] Chanan G, Ohara C, Troy M 2000 Appl. Opt. 39 4706
[14] Shi F, Redding D C, Lowman A E, Bowers C W, Burns L A, Petrone III P, Ohara C M, Basinger S A 2003 SPIE 4850 318
[15] Shi F, Chanan G, Ohara C, Mitchell T, David C R 2004 Appl. Opt. 43 4474
[16] Zhang Y, Zhang L, Liu G R, Wang Y F, Zhang Y J, Zeng Y Z, Li Y P 2011 Acta Opt. Sin. 31 84 (in Chinese) [张勇, 张靓, 刘根荣, 王跃飞, 张亚俊, 曾裔中, 李烨平 2011 光学学报 31 84]
[17] Tremou E, Eckart A, Horrobin M, Lindhorst B, Moser L, Rost S, Smajic S, Straubmeier C, Wank I, Zuther J, Bertram T 2010 SPIE 7734 7734411
[18] Liu Z, Wang S Q, Rao C H 2012 Acta Phys. Sin. 61 039501 (in Chinese) [刘政, 王胜千, 饶长辉 2012 物理学报 61 039501]
[19] Liu Z, Wang S Q, Rao C H 2012 Chin. Phys. B 21 604
[20] Luo Q, Huang L H, Gu N T, Li F, Rao C H 2012 Acta Phys. Sin. 61 069501 (in Chinese) [罗群, 黄林海, 顾乃庭, 李斐, 饶长辉 2012 物理学报 61 069501]
[21] Liu Z, Wang S Q, Huang L H, Rao C H 2011 Acta Phys. Sin. 60 100702 (in Chinese) [刘政, 王胜千, 黄林海, 饶长辉 2011 物理学报 60 100702]
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