[1]倪晓坚,蔡体菁.弓形结构冷原子干涉重力测量精度分析[J].东南大学学报(自然科学版),2009,39(4):769-773.[doi:10.3969/j.issn.1001-0505.2009.04.023]
 Ni Xiaojian,Cai Tijing.Accuracy analysis of measuring gravity using arched configuration cold atom interferometry[J].Journal of Southeast University (Natural Science Edition),2009,39(4):769-773.[doi:10.3969/j.issn.1001-0505.2009.04.023]
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弓形结构冷原子干涉重力测量精度分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
39
期数:
2009年第4期
页码:
769-773
栏目:
仪器科学与技术
出版日期:
2009-07-20

文章信息/Info

Title:
Accuracy analysis of measuring gravity using arched configuration cold atom interferometry
作者:
倪晓坚 蔡体菁
东南大学仪器科学与工程学院, 南京 210096
Author(s):
Ni Xiaojian Cai Tijing
School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China
关键词:
冷原子干涉 重力仪 Raman脉冲 精度分析
Keywords:
cold atom interferometry gravimeter Raman pulse accuracy analysis
分类号:
U666.1
DOI:
10.3969/j.issn.1001-0505.2009.04.023
摘要:
为了提高冷原子干涉测量重力的精度,提出了一种弓形结构干涉方案.该方案通过改变施加在冷原子上的Raman脉冲的方向和数量,构造出弓形结构的干涉路径.根据激光传播相位得到干涉相位差和重力加速度的线性关系,其比例系数决定了干涉仪的灵敏度; 利用费曼路径积分的方法计算原子波包的传播相位,并应用微扰理论分析重力梯度误差和地球自转误差; 使用矩阵方法分析原子波包干涉不重合误差.与Mach-Zehnder型和四单向脉冲干涉仪相比,弓形结构的重力梯度误差和波包不重合误差均得到降低.又推导了含有多个弓形结构的干涉仪相位差与光脉冲相位和重力加速度的关系式,发现随着弓形结构数量的增加,干涉仪的灵敏度不断提高,但其提高的程度递减.
Abstract:
In order to improve the precision of measuring gravity using cold atom interferometry, a realization scheme of atom interferometry with arched configuration is presented. By altering directions and quantity of Raman pulses applied on cold atoms, the interference path with arched configuration is achieved. The linear relationship between interferometry phase shift and gravity acceleration derived from propagation phase of laser, which determines sensitivity, is given. Based on Feynman’s path integral theory, the propagation phase of atom wavepackets is calculated,and then the errors of gravity gradiometry and earth rotation are analyzed by applying perturbation theory. Non-ideal overlap in the two interfering wavepackets are analyzed by using a matrix. Compared with Mach-Zehnder and four unidirectional pulses atom interferometry, the error of gravity gradiometry and the error from non-ideal overlap in the two interfering wavepackets are depressed. The relation expression of interferometry phase shift with several arched configurations and laser phase and gravity is derived. It is found that the sensitivity increases with the amount of arched configuration, however the increment declines gradually.

参考文献/References:

[1] Jekeli C.Precision free-inertial navigation with gravity compensation by an onboard gradiometer [J].Journal of Guidance,Control,and Dynamics,2006,29(3):704-713.
[2] Gustavson T L,Landragin A,Kasevich M A.Rotationsensing with a dual atom-interferometer Sagnac gyros-cope[J].Classical and Quantum Gravity,2000,17(12):2385-2398.
[3] Peters A,Chung K Y,Chu S.High-precision gravity measurements using atom interferometry[J].Metrologia,2001,38(1):25-61.
[4] McGuirk J M,Foster G T,Fixler J B,et al.Sensitive absolute-gravity gradiometry using atom interferometry[J]. Physical Review A,2002,65(3):033608.
[5] Canuel B,Leduc F,Holleville D,et al.Six-axis inerti-al sensor using cold-atom interferometry[J].Physical Review Letters,2006,97(1):010402.
[6] Mcguirk J M,Snadden M J,Kasevich M A.Large area light-pulse atom interferometry[J].Physical Review Letters,2000,85(21):4498-4501.
[7] 郑森林,陈君,林强.光脉冲序列对三能级原子重力仪测量精度的影响[J].物理学报,2005,54(8):3535-3541.
  Zheng Senlin,Chen Jun,Lin Qiang.Improvement of the measuring precision by changing the pulse sequence in the three-level atom gravimeter[J].Acta Physica Sinica,2005,54(8):3535-3541.(in Chinese)
[8] Mcguirk J M.High precision absolute gravity gradiometry with atom interferometry [D].PaloAlto:The Department of Physics of Stanford University,2002.
[9] Bongs K,Launay R,Kasevich M A.High-order inertial phase shifts for time-domain atom interferometers [J]. Applied Physics B,2006,84(4):599-602.
[10] 曾谨言.量子力学:卷2 [M].4版.北京:科学出版社,2007:167-186.
[11] Fixler J B.Atom interferometer-based gravity gradiometer measurements[D].New Haven:Yale University,2003.

备注/Memo

备注/Memo:
作者简介: 倪晓坚(1983—),男,博士生; 蔡体菁(联系人),男,博士,教授,博士生导师,caitij@seu.edu.cn.
基金项目: 船舶工业国防科技预研基金资助项目、总装备部预研基金资助项目(51309010202)、国家高技术研究发展计划(863计划)资助项目(2006AA06A203,2006AA12Z302).
引文格式: 倪晓坚,蔡体菁.弓形结构冷原子干涉重力测量精度分析[J].东南大学学报:自然科学版,2009,39(4):769-773. [doi:10.3969/j.issn.1001-0505.2009.04.023]
更新日期/Last Update: 2009-07-20