为了减少用光学干涉法测量绝对重力过程中落体旋转对测量结果的影响,设计了基于扭摆法调校落体光心与质心间距的方法。采用标准模态分析落体的本征频率,推导光心与质心沿铅锤线方向偏移的测量方程。并分析了角锥棱镜折射率与气体阻尼分别对测量结果的影响。结果表明:入射角在0~0.1°之间,品质因子Q=1000时,调校落体使光心与质心重合,旋转导致的重力加速度干扰最佳可控制在1.4μGal。
Abstract
To reduce the influence of falling body rotation on the measurement result for absolute gravity measurement based on optical interferometry,a novel method used to collocate the falling bodys center of mass(Ocm) with its optical center by torsion pendulum was proposed. Analyzing the eigenfrequency of falling body by standard mode,the measurement equation of the center of optical and the center of mass deviation along the plumb line was deduced. In addition,analyzing the influence of the corner-cube retroreflectors refractive index and the gas damping for the measured results,respectively. Numerical analysis shows that when the incidence angle is between 0 and 0.1 degree, and the quality factor Q=1000, the disturbance of gravity acceleration caused by rotation can be optimal controlled at the level of 1.4μGal.
关键词
计量学 /
绝对重力仪 /
落体旋转 /
扭摆法 /
光程
Key words
metrology /
absolute gravimeters /
rotation of falling body /
torsional pendulum method /
optical path
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1]Faller J E. Thirty years of progress in absolute gravimetry: a scientific capability implemented by technological advances [J]. Metrologia, 2002, 39(5): 425-428.
[2]Rothleitner C, Svitlov S, Mérimèche H, et al. Development of new free-fall absolute gravimeters [J]. Metrologia, 2009, 46(3): 283-297.
[3]胡华, 伍康, 申磊, 等. 新型高精度绝对重力仪[J]. 物理学报, 2012, 61(9): 542-549.
Hu H, Wu K, Shen L, et al. A new high precision absolute gravimeter [J]. Acta Physica. Sinica, 2012, 61(9): 542-549.
[4]余烨, 胡翔, 熊超, 等. 一种用于测量重力梯度的扭秤装置[J]. 计量学报, 2018, 39(2): 159-162.
Yu Y, Hu X, Xiong C, et al. A Torsion Balance Device for Measuring the Gravity Gradient[J]. Acta Metrologica Sinica, 2018, 39(2): 159-162.
[5]滕云田, 吴琼, 郭有光, 等. 基于激光干涉的新型高精度绝对重力仪[J]. 地球物理学进展, 2013, 28(4): 2141-2147.
Teng Y T, Qiong W, Guo Y G, et al. New type of high-precision absolute gravimeter base on laser interference [J]. Progress in Geophysics, 2013, 28(4): 2141-2147.
[6]Wu B, Wang Z, Cheng B, et al. . The investigation of a μGal-level cold atom gravimeter for field applications [J]. Metrologia, 2014, 51(5): 452-458.
[7]Dickerson S M, Hogan J M, Sugarbaker A, et al. Multiaxis inertial sensing with long-time point source atom interferometry [J]. Physical Review Letters, 2013, 111(8): 083001.
[8]Hanada H, Tsubokawa T, Tsuruta S. Possible large systematic error source in absolute gravimetry [J]. Metrologia, 1996, 33(5): 155-160.
[9]冯金扬, 吴书清, 李春剑, 等. 基于双干涉仪的自由落体绝对重力测量[J]. 光学精密工程, 2015, 23(10): 2730-2746.
Feng J Y, Wu S Q, Li C J, et al. Free-fall absolute gravity measurement based on double interferometers [J]. Optics and Precision Engineering, 2015, 23(10): 2740-2746.
[10]李春剑, 粟多武, 吴书清, 等. 光干涉绝对重力仪衍射修正[J]. 计量学报, 2017, 38(4): 420-423.
Li C J, Su D W, Wu S Q, et al. The Diffraction Correction for Interferometric Absolute Gravimeters[J]. Acta Metrologica Sinica, 2017, 38(4): 420-423.
[11]Rothleitner C, Francis O. On the influence of the rotation of a corner cube reflector in absolute gravimetry[J]. Metrologia, 2010, 47(5): 567-574.
[12]Hanada H. Coinciding the optical center with the center of gravity in a corner cube prism: a method[J]. Applied Optics, 1988, 27(16): 3530-3533.
[13]Nibauer T M, Constantino A, et al. Balancing a retroreflector to minimize rotation errors using a pendulum and quadrature Interferometer[J]. Applied Optics, 2015, 54(18): 5750-5758.
[14]Peck E R. Theory of the Corner-Cube Interferometer [J]. Journal of the Optical Society of America, 1948, 38(12): 1015: 1023.
基金
国家重点研发计划重点专项(2018YFF0212400); 中国计量科学研究院基本科研业务费专项(AKY1608)