Optimized design and error analysis of vibration sensitivity of horizontally placed cylindrical reference cavity

HAO Yanmei; HUANG Yao; ZHANG Baolin; CHEN Qunfeng; GUAN Hua; GAO Kelin

doi:10.3969/j.issn.1007-5461.2025.02.003

Chinese Journal of Quantum Electronics, Volume. 42, Issue 2, 177(2025)

Optimized design and error analysis of vibration sensitivity of horizontally placed cylindrical reference cavity

HAO Yanmei^1,2,3, HUANG Yao^1,2, ZHANG Baolin^1,2, CHEN Qunfeng^1,2、*, GUAN Hua^1,2、**, and GAO Kelin^1,2

Author Affiliations

¹Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China

²Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences, Wuhan 430071, China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(8)

Fig. 1. Schematic diagram of the ultra-stable cavity. (a) Overall assembly section;(b) Details of the cavity and the base; (c) Side and front views of the cavity

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$The fractional length change of the cavity with different sp values. (a) The fractional length change of the cavity obtained by rough scanning sp with a step size of 5 mm; (b) The fractional length change of the cavity obtained by accurate scanning sp with a step size of 0.1 mm$

Fig. 2. The fractional length change of the cavity with different sp values. (a) The fractional length change of the cavity obtained by rough scanning sp with a step size of 5 mm; (b) The fractional length change of the cavity obtained by accurate scanning sp with a step size of 0.1 mm

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$The fractional length change of the cavity obtained by rough scanning cp with a step size of 1 mm (insert: the fractional length change of the cavity obtained by accurate scanning cp with a step size of 0.1 mm)$

Fig. 3. The fractional length change of the cavity obtained by rough scanning cp with a step size of 1 mm (insert: the fractional length change of the cavity obtained by accurate scanning cp with a step size of 0.1 mm)

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Fig. 4. Schematic of cavity mirror installation offset. (a) The plane mirror is offset toward the $x$ direction;(b) The concave mirror is offset toward the $x$ direction

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Table 1. Vibration sensitivity under different mesh divisions

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Table 1. Vibration sensitivity under different mesh divisions

Balls mesh/mm	Rest mesh 5.84 mm	Rest mesh 3.25 mm	Rest mesh 1.3 mm	Rest mesh 0.48 mm
5.84	$5.19 \times 10^{- 9} / g$	$5.17 \times 10^{- 9} / g$	$5.16 \times 10^{- 9} / g$	$6.41 \times 10^{- 8}$ / $g$
3.25	$6.99 \times 10^{- 9} / g$	$6.97 \times 10^{- 9}$ / $g$	$6.96 \times 10^{- 9}$ / $g$	$3.64 \times 10^{- 8}$ / $g$
1.30	$4.60 \times 10^{- 8} / g$	$4.60 \times 10^{- 8}$ / $g$	$4.60 \times 10^{- 8} / g$	$1.28 \times 10^{- 7}$ / $g$
0.48	$4.42 \times 10^{- 10} / g$	$4.23 \times 10^{- 10} / g$	$4.21 \times 10^{- 10}$ / $g$	$4.22 \times 10^{- 10} / g$

Table 2. Parameters of different materials and corresponding simulated values

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Table 2. Parameters of different materials and corresponding simulated values

Material

Density/

(kg⋅m^-3)

Young's modulus/Pa

Poisson's

radio

Vibration sensitivity under same model

Best vibration

sensitivity

Best sp value/mm

Best cp value/mm

PIB

980

7.84

\times 10^{6}

0.47

7.3 \times 10^{- 12} / g

7.3 \times 10^{- 12} / g

90.5

9.3

Teflon

2160

5.00

\times 10^{8}

0.26

- 1.5 \times 10^{- 10} / g

5.3 \times 10^{- 12} / g

90.5

10.5

Viton

1800

7.84

\times 10^{6}

0.49

1.1 \times 10^{- 10}

g

- 1.9 \times 10^{- 12} / g

90.5

10.1

Table 3. Vibration sensitivity with specified displacement

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Table 3. Vibration sensitivity with specified displacement

Condition

One ball with 5 µm

displacement

One ball with 0.01 mm displacement

One ball with 0.05 mm displacement

Two balls with 0.01 mm displacement

Vibration sensitivity

- 7.5 \times 10^{- 11}

g

1.1 \times 10^{- 10}

g

8.1 \times 10^{- 9} / g

- 9.3 \times 10^{- 11}

g

Table 4. Vibration sensitivity caused by various error factors under the same offset

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Table 4. Vibration sensitivity caused by various error factors under the same offset

Error factor	Vibration sensitivity (/0.01 mm)
Inconsistency in ball size	$- 3.2 \times 10^{- 11}$ /g
Base machining error	$1.1 \times 10^{- 10}$ /g
Spacer mounting error	$- 9.5 \times 10^{- 11} / g$
Support balls position error	$1.3 \times 10^{- 10}$ /g
Mirror mounting error	$1.1 \times 10^{- 11} / g$

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Yanmei HAO, Yao HUANG, Baolin ZHANG, Qunfeng CHEN, Hua GUAN, Kelin GAO. Optimized design and error analysis of vibration sensitivity of horizontally placed cylindrical reference cavity[J]. Chinese Journal of Quantum Electronics, 2025, 42(2): 177

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Paper Information

Category:

Received: Sep. 1, 2023

Accepted: --

Published Online: Apr. 1, 2025

The Author Email: Qunfeng CHEN (qfchen@wipm.ac.cn), Hua GUAN (guanhua@wipm.ac.cn)

DOI:10.3969/j.issn.1007-5461.2025.02.003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology