中国物理B ›› 2016, Vol. 25 ›› Issue (6): 60701-060701.doi: 10.1088/1674-1056/25/6/060701

• GENERAL • 上一篇    下一篇

Study of the optimal duty cycle and pumping rate for square-wave amplitude-modulated Bell-Bloom magnetometers

Mei-Ling Wang(王美玲), Meng-Bing Wang(王梦冰), Gui-Ying Zhang(张桂迎), Kai-Feng Zhao(赵凯锋)   

  1. 1 Applied Ion Beam Physics Laboratory, Key Laboratory of the Ministry of Education, Fudan University, Shanghai 200433, China;
    2 Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China
  • 收稿日期:2015-12-04 修回日期:2016-02-04 出版日期:2016-06-05 发布日期:2016-06-05
  • 通讯作者: Kai-Feng Zhao E-mail:zhaokf@fudan.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11074050).

Study of the optimal duty cycle and pumping rate for square-wave amplitude-modulated Bell-Bloom magnetometers

Mei-Ling Wang(王美玲)1,2, Meng-Bing Wang(王梦冰)1,2, Gui-Ying Zhang(张桂迎)1,2, Kai-Feng Zhao(赵凯锋)1,2   

  1. 1 Applied Ion Beam Physics Laboratory, Key Laboratory of the Ministry of Education, Fudan University, Shanghai 200433, China;
    2 Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China
  • Received:2015-12-04 Revised:2016-02-04 Online:2016-06-05 Published:2016-06-05
  • Contact: Kai-Feng Zhao E-mail:zhaokf@fudan.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11074050).

摘要:

We theoretically and experimentally study the optimal duty cycle and pumping rate for square-wave amplitude-modulated Bell-Bloom magnetometers. The theoretical and the experimental results are in good agreement for duty cycles and corresponding pumping rates ranging over 2 orders of magnitude. Our study gives the maximum field response as a function of duty cycle and pumping rate. Especially, for a fixed duty cycle, the maximum field response is obtained when the time averaged pumping rate, which is the product of pumping rate and duty cycle, is equal to the transverse relaxation rate in the dark. By using a combination of small duty cycle and large pumping rate, one can increase the maximum field response by up to a factor of 2 or π/2, relative to that of the sinusoidal modulation or the 50% duty cycle square-wave modulation respectively. We further show that the same pumping condition is also practically optimal for the sensitivity due to the fact that the signal at resonance is insensitive to the fluctuations of pumping rate and duty cycle.

关键词: optical pumping, spin relaxation, power-broadening, magnetometry

Abstract:

We theoretically and experimentally study the optimal duty cycle and pumping rate for square-wave amplitude-modulated Bell-Bloom magnetometers. The theoretical and the experimental results are in good agreement for duty cycles and corresponding pumping rates ranging over 2 orders of magnitude. Our study gives the maximum field response as a function of duty cycle and pumping rate. Especially, for a fixed duty cycle, the maximum field response is obtained when the time averaged pumping rate, which is the product of pumping rate and duty cycle, is equal to the transverse relaxation rate in the dark. By using a combination of small duty cycle and large pumping rate, one can increase the maximum field response by up to a factor of 2 or π/2, relative to that of the sinusoidal modulation or the 50% duty cycle square-wave modulation respectively. We further show that the same pumping condition is also practically optimal for the sensitivity due to the fact that the signal at resonance is insensitive to the fluctuations of pumping rate and duty cycle.

Key words: optical pumping, spin relaxation, power-broadening, magnetometry

中图分类号:  (Magnetometers for magnetic field measurements)

  • 07.55.Ge
32.80.Xx (Level crossing and optical pumping) 76.60.Es (Relaxation effects) 76.70.Hb (Optically detected magnetic resonance (ODMR))