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Chin. Phys. B, 2018, Vol. 27(7): 070203    DOI: 10.1088/1674-1056/27/7/070203
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A new ellipse fitting method of the minimum differential-mode noise in the atom interference gravimeter

Aopeng Xu(许翱鹏)1, Zhaoying Wang(王兆英)1, Delong Kong(孔德龙)1, Zhijie Fu(付志杰)1, Qiang Lin(林强)2
1 Institute of Optics, Department of Physics, Zhejiang University, Hangzhou 310027, China;
2 Center for Optics and Optoelectronics Research, College of Science, Zhejiang University of Technology, Hangzhou 310023, China
Abstract  Ellipse fitting is a useful tool to obtain the differential signal of two atom interference gravimeters. The quality standard of ellipse fitting should be the deviation between the true phase and the fitting phase of the interference fringe. In this paper, we present a new algorithm to fit the ellipse. The algorithm is to minimize the differential noise of two interference gravimeters and obtain a more accurate value of the gravity gradient. We have theoretically derived the expression of the differential-mode noise and implemented the ellipse fitting in the program. This new algorithm is also compared with the classical methods.
Keywords:  ellipse fitting      atom interference      gravity measurement  
Received:  05 February 2018      Revised:  03 May 2018      Accepted manuscript online: 
PACS:  02.60.Ed (Interpolation; curve fitting)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFC0601602) and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2017FZA3005 and 2018FZA3005).
Corresponding Authors:  Zhaoying Wang     E-mail:  zhaoyingwang@zju.edu.cn

Cite this article: 

Aopeng Xu(许翱鹏), Zhaoying Wang(王兆英), Delong Kong(孔德龙), Zhijie Fu(付志杰), Qiang Lin(林强) A new ellipse fitting method of the minimum differential-mode noise in the atom interference gravimeter 2018 Chin. Phys. B 27 070203

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