Research on Pressure Compensation for the Rubidium Atomic Clock Working in Atmospheric Environment

doi:10.11938/cjmr20243112

Abstract

Abstract:

Vapor cell rubidium atomic clock is widely used in the fields of satellite navigation and communication with advantages including small size, light weight, low power and maintenance cost. The high-performance vapor cell rubidium atomic clocks in BDS-3 (Beidou-3 Navigation Satellite System) demonstrate exceptional stability, achieving 5E-13/ $τ$ within 1~10 000 s and exceeding 3E-15 at one day. However, in atmospheric environment, due to environmental factors, particularly the influence of atmospheric pressure, the long-term stability deteriorates by 1 to 2 orders of magnitude after 1 000 s. This paper proposes a high-precision pressure compensation method by analyzing noise introduced from compensation algorithm and conducting sufficient experimental verification. After compensation, the long-term stability at 10 000 s of ground-type rubidium atomic clock is improved by approximately one order of magnitude, reaching a frequency stability better than 6.5E-15.

Key words: rubidium atomic clock, frequency stability, pressure compensation

CLC Number:

O482.53

LI Junyao, LI Chengkang, ZHAO Feng, WANG Chen, WANG Fang, KANG Songbai, WANG Pengfei, MEI Ganghua, MING Gang. Research on Pressure Compensation for the Rubidium Atomic Clock Working in Atmospheric Environment[J]. Chinese Journal of Magnetic Resonance, 2025, 42(1): 96-102.

Figures/Tables 10

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References 8

[1]	XU F, HAO Q, HE S G, et al. Spectrum characteristics and filtering effect of ⁸⁷Rb-Ar spectrum lamp[J]. Chinese J Magn Reson, 2016, 33(1): 125-132.
	许风, 郝强, 何胜国, 等. ⁸⁷Rb-Ar光谱灯光谱特性和滤光效果研究[J]. 波谱学杂志, 2016, 33(1): 125-132. doi: 10.11938/cjmr20160112
[2]	MEI G H, ZHAO F, QI F, et al. Characteristics of the space-borne rubidium atomic clocks for the BeiDou III navigation satellite system[J]. Sci Sin-Phys Mech As, 2021, 51(1): 118-124.
[3]	LI J Y, MING G, ZHAO F, et al. A rubidium atomic frequency standard with stability at 10^-15 level operated under atmospheric condition[C]// 2021 Proceedings of China satellite navigation conference (CSNC), Springer LNEE, 774: 62-73.
[4]	ALMAT N, GHARAVIPOUR M, MORENO W, et al. Long-term stability analysis toward <10^-14 level for a highly compact POP Rb cell atomic clock[J]. IEEE T Ultrason Ferr, 2020, 67(1): 207-216.
[5]	VANIER J, KUNSKI R, CYR N, et al. On hyperfine frequency shifts caused by buffer gases: Application to the optically pumped passive rubidium frequency standard[J]. J Appl Phys, 1982, 53(8): 5387-5391.
[6]	XU J Q, LI J Y, ZHAO F, et al. High-precision frequency drift compensation study of high-performance rubidium atomic clock[J]. Chinese J Magn Reson, 2024, 41(2): 184-190.
	徐俊秋, 李俊瑶, 赵峰, 等. 高性能铷原子钟的高精度漂移补偿研究[J]. 波谱学杂志. 2024, 41(2): 184-190. doi: 10.11938/cjmr20233080
[7]	TIMOSHENKO S, WOINOWSKY-KRIEGER S. Theory of plates & shells[M]. 2nd ed. New York, NY, USA: McGraw-Hill, 1959.
[8]	邵军. 数理统计[M]. 北京: 高等教育出版社, 2018.

		W=1 s	W=10 s	W=50 s	W=100 s	W=500 s	W=1 000 s
频率稳定度	τ = 100 s	4.38E-14	4.38E-14	4.38E-14	4.38E-14	4.38E-14	4.38E-14
	τ = 1 000 s	1.63E-14	1.63E-14	1.63E-14	1.62E-14	1.61E-14	1.64E-14
	τ = 10 000 s	7.67E-15	7.68E-15	7.70E-15	7.73E-15	8.12E-15	9.03E-15

		G=1.5E-16	G=1.5E-15	G=7.5E-15	G=1.5E-14	G=7.5E-14
频率稳定度	τ = 100 s	4.38E-14	4.38E-14	4.38E-14	4.38E-14	4.39E-14
	τ = 1 000 s	1.62E-14	1.62E-14	1.63E-14	1.65E-14	2.11E-14
	τ = 10 000 s	7.73E-15	7.77E-15	8.37E-15	8.91E-15	2.31E-14

		S=1 s	S=10 s	S=50 s	S=100 s	S=500 s	S=1000 s
频率稳定度	τ = 100 s	4.38E-14	4.32E-14	4.38E-14	4.43E-14	4.60E-14	4.59E-14
	τ = 1 000 s	1.62E-14	1.61E-14	1.57E-14	1.58E-14	1.50E-14	1.74E-14
	τ = 10 000 s	7.73E-15	7.75E-15	7.99E-15	8.13E-15	7.82E-15	8.63E-15

τ/s	补偿前稳定度	补偿后稳定度
1	3.02E-13	2.98E-13
2	2.25E-13	2.24E-13
4	1.72E-13	1.71E-13
10	1.09E-13	1.08E-13
20	7.72E-14	7.64E-14
40	5.55E-14	5.52E-14
100	3.44E-14	3.53E-14
200	2.54E-14	2.52E-14
400	2.10E-14	1.85E-14
1000	1.76E-14	1.40E-14
2000	1.94E-14	1.05E-14
4000	2.90E-14	7.71E-15
10000	5.78E-14	6.32E-15
20000	1.03E-13	8.10E-15

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[11]	NIE Shuai, WANG Peng-fei, MEI Gang-hua, ZHONG Da. Magnetic Frequency Shift in Rubidium Atomic Frequency Standards [J]. Chinese Journal of Magnetic Resonance, 2017, 34(2): 200-205.
[12]	CHEN Tao1–3，SUN Bing-feng1,2，YAN Shi-dong1，MEI Gang-hua1，ZHONG Da1*. Design of a Narrow-Band Voltage Controlled Oscillator for Phase-Locked Frequency Multiplier in Miniature Rubidium Atomic Clock [J]. Chinese Journal of Magnetic Resonance, 2014, 31(4): 587-595.
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[15]	CAO Bin-Zhao, LI Xiao-Xiao, CUI Jing-Zhong. Resonant Characteristics of a Microwave Cavity for a New Type of Rubidium Clock [J]. Chinese Journal of Magnetic Resonance, 2012, 29(1): 93-100.