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Background oriented schlieren based wavefront sensing (BOS-WS) is a new experimental technique for measuring the two-dimensional distribution of optical wavefronts and the optical path differences (OPDs) induced by the flow-field density variations. Background oriented schlieren (BOS) is traditionally used to test the flow-field density distribution, which restricts the obtaining of useful information since the obtained density information is integrated over the optical path. The OPD is very important for predicting the optical distortion when light travels through the flow field and it is tested by BOS-WS. In order to obtain the optical distortion generated by aero-optic effect, and restore the original image from the distortion known information so as to explore a new kind of supersonic imaging guidance method, theory analysis, numerical simulation and experimental methods are used based on BOS-WS. Through theoretical analysis, the wavefront measurement method based on BOS is verified and the calculation methods of using wavefront information known to predict distortion displacement field and using known displacement field to reconstruct wavefront are explored. By numerical simulation, the error sizes and the result rationalities of one stepped integral algorithm and Southwell method on the wavefront reconstruction are compared, and through the error analysis it is proved that the Southwell method is more accurate and reasonable. By a wavefront aberration experiment carried out in the flow field above the candle flame and a lens perturbation experiment, the methods of using OPD known to reconstruct distorted displacement field and correcting image distortion by the field are creatively explored. The verification experiments show the effectiveness of the correction method.
[1] Zhu Y Z, Yi S H, Chen Z, Ge Y, Wang X H, Fu J 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植, 葛勇, 王小虎, 付佳 2013 物理学报 62 084219]
[2] Gan C J, Li L, Ma H D, Xiong H L 2013 Acta Phys. Sin. 62 184701 (in Chinese) [甘才俊, 李烺, 马汉东, 熊红亮 2013 物理学报 62 184701]
[3] Meier G E A 1998 Proceedings of the 8th International Symposium Flow Visualization Sorrento, Italy, September 1, 1998 p1
[4] Tian L F 2011 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [田立丰 2011 博士学位论文 (长沙: 国防科学技术大学)]
[5] Zhao Y X 2008 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵玉新 2008 博士学位论文 (长沙: 国防科学技术大学)]
[6] Richard H, Raffel M 2001 Meas. Sci. Technol. 12 1576
[7] Venkatakeishnan L, Meier G E A 2004 Exp. Fluids 37 237
[8] Elsinga G E, Oudheusden B W 2004 Exp. Fluids 36 309
[9] Sreekanth R, David J M, Thomas R, Peter A J 2004 AIAA Australian Aerospace Student Conference 2004 Sydney, Australia, December 12, 2004 p1
[10] Sourgen F, Haertig J, George A 2005 AIAA Paper 2005-6036
[11] Erik G, Jorg S 2007 Exp. Fluids 43 241
[12] Ramanah D, Raghunath S, Mee D J 2007 Shock Waves 17 65
[13] Abhishek B, Brian T 2010 AIAA paper 2010-4842
[14] Zhao Y X, Yi S H, Tian L F, He L, Cheng Z Y 2010 Sci. China Ser. G 53 81
[15] Tian L F, Yi S H, Zhao Y X, He L, Chen Z 2011 Chin. Sci. Bull. 56 2320
[16] Southwell W H 1980 J. Opt. Soc. Am. 70 998
[17] Zhang T X, Hong H Y, Zhang X Y 2014 Aero-optical Effect Correction: Principles, Methods and Applications (Hefei: University of Chinese Science and Technology Press) (in Chinese) [张天序, 洪汉玉, 张新宇 2014 气动光学效应校正--原理、方法与应用 (合肥: 中国科学技术大学出版社)]
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[1] Zhu Y Z, Yi S H, Chen Z, Ge Y, Wang X H, Fu J 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植, 葛勇, 王小虎, 付佳 2013 物理学报 62 084219]
[2] Gan C J, Li L, Ma H D, Xiong H L 2013 Acta Phys. Sin. 62 184701 (in Chinese) [甘才俊, 李烺, 马汉东, 熊红亮 2013 物理学报 62 184701]
[3] Meier G E A 1998 Proceedings of the 8th International Symposium Flow Visualization Sorrento, Italy, September 1, 1998 p1
[4] Tian L F 2011 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [田立丰 2011 博士学位论文 (长沙: 国防科学技术大学)]
[5] Zhao Y X 2008 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [赵玉新 2008 博士学位论文 (长沙: 国防科学技术大学)]
[6] Richard H, Raffel M 2001 Meas. Sci. Technol. 12 1576
[7] Venkatakeishnan L, Meier G E A 2004 Exp. Fluids 37 237
[8] Elsinga G E, Oudheusden B W 2004 Exp. Fluids 36 309
[9] Sreekanth R, David J M, Thomas R, Peter A J 2004 AIAA Australian Aerospace Student Conference 2004 Sydney, Australia, December 12, 2004 p1
[10] Sourgen F, Haertig J, George A 2005 AIAA Paper 2005-6036
[11] Erik G, Jorg S 2007 Exp. Fluids 43 241
[12] Ramanah D, Raghunath S, Mee D J 2007 Shock Waves 17 65
[13] Abhishek B, Brian T 2010 AIAA paper 2010-4842
[14] Zhao Y X, Yi S H, Tian L F, He L, Cheng Z Y 2010 Sci. China Ser. G 53 81
[15] Tian L F, Yi S H, Zhao Y X, He L, Chen Z 2011 Chin. Sci. Bull. 56 2320
[16] Southwell W H 1980 J. Opt. Soc. Am. 70 998
[17] Zhang T X, Hong H Y, Zhang X Y 2014 Aero-optical Effect Correction: Principles, Methods and Applications (Hefei: University of Chinese Science and Technology Press) (in Chinese) [张天序, 洪汉玉, 张新宇 2014 气动光学效应校正--原理、方法与应用 (合肥: 中国科学技术大学出版社)]
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