WANG Zi-qiang, ZHONG Min-cheng, ZHOU Jin-hua etc. Modeling and compensation of random drift error for optical tweezer system[J]. Editorial Office of Optics and Precision Engineering, 2014,22(6): 1403-1409
WANG Zi-qiang, ZHONG Min-cheng, ZHOU Jin-hua etc. Modeling and compensation of random drift error for optical tweezer system[J]. Editorial Office of Optics and Precision Engineering, 2014,22(6): 1403-1409 DOI: 10.3788/OPE.20142206.1403.
Modeling and compensation of random drift error for optical tweezer system
In consideration of the effect of noise in an optical tweezer on its measuring accuracy
an effective compensation method for the random drift error of the optical tweezer was proposed. Firstly
the time series analysis and Kalman filter methods were introduced. Then the random drift error of the tweezer was modeled by time series analysis method and the Kalman filter was proposed to decrease this drift error. The testing error from an optical tweezer test setup was compensated. The compensating result shows that the error variance is reduced from 188.90 nm
2
to 8.41 nm
2
. The data analysis with the Allan variance method demonstrates that the minimum error is reduced from 0.7 nm to 0.1 nm for an averaging time of 1 s. The experiment shows that the method mentioned above can effectively compensate the random drift error of the optical tweezer. It can be used in aligning the double optical tweezers and can improve the accuracy of initial alignment for a capturing light and a detecting light in the double optical tweezer and can enhance the equipment performance.
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ZHONG M C,WEI X B, ZHOU J H, et al.. Trapping red blood cells in living animals using optical tweezers[J]. Nat. Commun.,2013, 4:1768.
JAUFFRED L,RICHARDSON A C,ODDERSHEDE L B. Three-dimensional optical control of individual quantum dots[J]. Nano Letters,2008,8(10):3376-3380.
CARTER A R,SELO Y,PERKINS T T. Precision surface-coupled optical-trapping assay with one-basepair resolution[J]. Biophysical Journal,2009, 96(7):2926-2934.
MOFFITT J R,CHEMLA Y R,IZHAKY D, et al.. Differential detection of dual traps improves the spatial resolution of optical tweezers[J]. Proceedings of the National Academy of Sciences of the United States of America,2006, 103(24):9006-9011.
NUENT-GLANDORF L,PERKINS T T. Measuring 0.1-nm motion in 1 ms in an optical microscope with differential back-focal-plane detection[J]. Optics Letters,2004, 29(22): 2611-2613.
KLEIN M,ANDERSSON M,AXNER O, et al.. Dual-trap technique for reduction of low-frequency noise in force measuring optical tweezers[J]. Applied Optics,2007, 46(3): 405-412.
ANDERSSON M,FÄLLMAN E,UHLIN B E, et al.. Force measuring optical tweezers system for long time measurements of P pili stability [J]. SPIE,2006, 6088: 8810-8810.
ANDERSSON M,CZERWINSKI F,ODDERSHEDE L B. Optimizing active and passive calibration of optical tweezers[J]. J. Opt-Uk, 2011, 13(4):044020.
王自强,李银妹,楼立人,等. BP神经网络用于光镊力的非线性修正研究[J]. 光学 精密工程,2008, 16(1): 6-10. WANG Z Q, LI Y M, LOU L R, et al.. Application of BP neural network to nonlinearity correction of optical tweezers force[J]. Opt. Precision Eng.,2008, 16(1): 6-10. (in Chinese)
CZERWINSKI F,RICHARDSON A C,LENE B. Quantifying noise in optical tweezers by Allan variance[J]. Optics Express,2009, 17(15):13255-13269.
张立新,黄晋英. 基于卡尔曼滤波的微压电陀螺的误差补偿[J]. 机械工程与自动化,2011, 168(5):134-136. ZHANG L X, HUANG J Y. Electric gyro error compensation based on Kalman filter[J]. Mechanical Englineering & Automation, 2011, 168(5): 134-136. (in Chinese)
魏彤,郭蕊. 自适应卡尔曼滤波在无刷直流电机系统辨识中的应用[J]. 光学 精密工程,2012, 20(10):2308-2314. WEI T, GUO R. Application of adaptive Kalman filtering in system identification of brushless DC motor [J]. Opt. Precision Eng.,2012, 20(10): 2308-2314. (in Chinese)
POLLOCK D S G,GREEN R C,NGUYEN T. Handbook of Time Series Analysis, Signal Processing, and Dynamics[M]. London:Academic Press, 1999.
李家垒,许化龙,何婧. 光纤陀螺随机漂移的实时滤波方法研究[J]. 宇航学报,2011, 31(12):2717-2721. LI J L,XU H L,HE J. Real time filtering methods of random drift of fiber optic gyroscope[J]. Journal of Astronautics,2011,31(12):2717-2721.(in Chinese)
汤霞清,宗艳桃,郭理彬, 等. 光纤陀螺随机漂移的AR-MA模型[J]. 装甲兵工程学院学报,2008, 22(3): 50-53. TANG X Q, ZONG Y T,GUO L B, et al.. ARMA model of random drift of fiber optic gyro[J]. Journal of Academy of Armored Force Engineering,2008, 22(3):50-53.(in Chinese)
王新龙,陈涛,杜宇. 基于ARMA模型的光纤陀螺漂移数据建模方法研究[J]. 弹箭与制导学报,2006, 26(1): 5-7. WANG X L,CHEG T,DU Y. The drift method of fiber optic gyros based on the ARMA model[J]. Journal of Projectiles, Rockets, Missiles and Guidance,2006, 26(1):5-7.(in Chinese)
武丽花,凌林本. 三浮陀螺仪漂移模型的建立及MATLAB实现[J]. 中国惯性技术学报,2005, 12(6): 75-78. WU L H,LIN L B. Modeling of gyro drift and realizing in MATLAB[J]. Journal of Chinese Inertial Technology, 2005, 12(6):75-78.(in Chinese)
GIBSON G M, LEACH J, KEEN S, et al.. Measuring the accuracy of particle position and force in optical tweezers using high-speed video microscopy[J]. Optics Express,2008, 16(19):14561-14570.
CZERWINSKI F, RICHARDSON A C, SELHUBER-UNKEL C, et al.. Quantifying and pinpointing sources of noise in optical tweezers experiments[J]. SPIE,2009, 7400: 740004.
SMTIH S B, CUI Y J,BUSTAMANTE C.Optical-trap force transducer that operates by direct measurement of light momentum[J]. Biophotonics Pt. B,2003, 361:134-162.
NUGENT-GLANDORF L, PERKINS T T.Measuring 0.1-nm motion in 1 ms in an optical microscope with differential back-focal-plane detection[J].Optics Letters,2004,29(22):2611-2613.