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A sub-nanometric closed-loop displacement control system for piezoelectric transducers has been set up based on an optical frequency comb, an external cavity diode laser and a Fabry-Perot interferometer. The external cavity diode laser is locked to the optical frequency comb, so that the optical frequency can be set precisely in the working range by tuning the repetition frequency of the optical frequency comb. As a sensor of the piezoelectric transducer, the Fabry-Perot cavity is locked to the external cavity diode laser by means of the Pound-Drever-Hall locking technique. With the aid of precisely controlling the diode laser frequency, displacements of the piezoelectric transducer can be obtained with a sub-nanometric resolution. Experimental results show that the Allan deviation of the diode laser frequency is 1.68×10-12 after locked to the optical frequency comb. The displacement range of 4.8 μm can be generated by the piezoelectric transducer through continuously and precisely tuning the diode laser frequency in the range of 30.9496 GHz. Meantime, the displacement resolution of 450 pm is achieved by scanning the repetition frequency of the optical frequency comb at a step of 3.75 Hz. Besides, the hysteresis characteristic of the piezoelectric transducer is measured using this system. Compared to those methods based on heterodyne interferometers to calibrate the displacement of piezoelectric transducers, the nonlinear errors are eliminated and the measurement results are traceable to an Rb clock.
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Keywords:
- optical frequency comb /
- piezoelectric transducer /
- Fabry-Perot cavity /
- tunable diode laser
[1] Leach R, Haycocks J, Lewis A, Oldfield S, Yacoot A 2001 Nanotechnology 12 R1
[2] King T G, Preston M E, Murphy B J M, Cannell D S 1990 Precision. Eng. 12 131
[3] Furutaniy K, Urushibata M, Mohri N 1998 Nanotechnology 9 93
[4] Okazaki Y 1990 Prec. Eng. 12 151
[5] Topcu S, Chassagne L, Haddad D, Alayli Y 2003 Rev. Sci. Instrum. 74 4876
[6] Chassagne L, Topcu S, Alayli Y, Juncar P 2005 Meas. Sci. Technol. 16 1771
[7] Lawall J R 2005 J. Opt. Soc. Am. A 22 2786
[8] Haitjema H, Schellekens P H J, Wetzels S F C L 2000 Metrologia 37 25
[9] Zhang L Q, Li Y 2012 Journal of Optoelectronic· Laser 23 740 (in Chinese) [张丽琼, 李岩 2012 光电子· 激光 23 740]
[10] Li T C, Fang Z J 2011 Chin. Sci. Bull. 56 709 (in Chinese) [李天初, 方占军 2011 科学通报 56 709]
[11] Zhang J T, Wu X J, Li Y, Wei H Y 2012 Acta Phys. Sin. 61 100601 (in Chinese) [张继涛, 吴学健, 李岩, 尉昊赟 2012 61 100601]
[12] Fang Z J, Wang Q, Wang M M, Meng F, Lin B K, Li T C 2007 Acta Phys. Sin. 56 5684 (in Chinese) [方占军, 王强, 王民明, 孟飞, 林百科, 李天初 2007 56 5684]
[13] Wu X J, Wei H Y, Zhu M H, Zhang J T, Li Y 2012 Acta Phys. Sin. 61 180601 (in Chinese) [吴学健, 尉昊赟, 朱敏昊, 张继涛, 李岩 2012 61 180601]
[14] Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97
[15] Jones D J, Diddams S A, Ranka J K, Stenz A, Windler R S, Hall J L, Cundiff S T 2000 Science 288 635
[16] Udem T, Holzwarth R, Hansch T W 2002 Nature 416 233
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[1] Leach R, Haycocks J, Lewis A, Oldfield S, Yacoot A 2001 Nanotechnology 12 R1
[2] King T G, Preston M E, Murphy B J M, Cannell D S 1990 Precision. Eng. 12 131
[3] Furutaniy K, Urushibata M, Mohri N 1998 Nanotechnology 9 93
[4] Okazaki Y 1990 Prec. Eng. 12 151
[5] Topcu S, Chassagne L, Haddad D, Alayli Y 2003 Rev. Sci. Instrum. 74 4876
[6] Chassagne L, Topcu S, Alayli Y, Juncar P 2005 Meas. Sci. Technol. 16 1771
[7] Lawall J R 2005 J. Opt. Soc. Am. A 22 2786
[8] Haitjema H, Schellekens P H J, Wetzels S F C L 2000 Metrologia 37 25
[9] Zhang L Q, Li Y 2012 Journal of Optoelectronic· Laser 23 740 (in Chinese) [张丽琼, 李岩 2012 光电子· 激光 23 740]
[10] Li T C, Fang Z J 2011 Chin. Sci. Bull. 56 709 (in Chinese) [李天初, 方占军 2011 科学通报 56 709]
[11] Zhang J T, Wu X J, Li Y, Wei H Y 2012 Acta Phys. Sin. 61 100601 (in Chinese) [张继涛, 吴学健, 李岩, 尉昊赟 2012 61 100601]
[12] Fang Z J, Wang Q, Wang M M, Meng F, Lin B K, Li T C 2007 Acta Phys. Sin. 56 5684 (in Chinese) [方占军, 王强, 王民明, 孟飞, 林百科, 李天初 2007 56 5684]
[13] Wu X J, Wei H Y, Zhu M H, Zhang J T, Li Y 2012 Acta Phys. Sin. 61 180601 (in Chinese) [吴学健, 尉昊赟, 朱敏昊, 张继涛, 李岩 2012 61 180601]
[14] Drever R W P, Hall J L, Kowalski F V, Hough J, Ford G M, Munley A J, Ward H 1983 Appl. Phys. B 31 97
[15] Jones D J, Diddams S A, Ranka J K, Stenz A, Windler R S, Hall J L, Cundiff S T 2000 Science 288 635
[16] Udem T, Holzwarth R, Hansch T W 2002 Nature 416 233
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