Multi-cavity-stabilized ultrastable laser

Lulu Yan; Yanyan Zhang; Zhaoyang Tai; Pan Zhang; Xiaofei Zhang; Wenge Guo; Shougang Zhang; Haifeng Jiang

doi:10.3788/COL201816.121403

Journals >Chinese Optics Letters >Volume 16 >Issue 12 >Page 121403 > Article

Chinese Optics Letters
Vol. 16, Issue 12, 121403 (2018)

Multi-cavity-stabilized ultrastable laser | Editors' Pick

Lulu Yan^1、2, Yanyan Zhang^1、2, Zhaoyang Tai¹, Pan Zhang¹, Xiaofei Zhang^1、2, Wenge Guo¹, Shougang Zhang^1、2, and Haifeng Jiang^1、2、*

Author Affiliations

¹Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi’an 710600, China

²School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China

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DOI: 10.3788/COL201816.121403 Cite this Article Set citation alerts

Lulu Yan, Yanyan Zhang, Zhaoyang Tai, Pan Zhang, Xiaofei Zhang, Wenge Guo, Shougang Zhang, Haifeng Jiang. Multi-cavity-stabilized ultrastable laser[J]. Chinese Optics Letters, 2018, 16(12): 121403 Copy Citation Text

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Abstract

We demonstrate a proposal for making an ultrastable laser referenced to a multi-cavity, enabling a lower thermal noise limit due to the averaging effect. In comparison with a single-cavity system, relative frequency instability of the synthesized laser can be improved by a factor of the square root of the cavity number. We perform an experiment to simulate a two-cavity system with two independent ultrastable lasers. Experimental results show that the relative frequency instability (Allan deviation) of the synthesized laser is 5 × 10¹⁶, improved by a factor of √2 from a single-cavity-stabilized laser.

G_{mirror} (f) = \frac{4 k_{B} T}{ω} \frac{1 - σ^{2}}{\sqrt{π} E w_{0}} (ϕ_{sub} + \frac{2}{\sqrt{π}} \frac{1 - 2 σ}{1 - σ} \frac{d}{w_{0}} ϕ_{coat}),

(1)

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\frac{\sqrt{S_{ν} (f)}}{ν} = \frac{\sqrt{2 G_{mirror} (f)}}{L} = \sqrt{\frac{4 k_{B} T}{π^{3 / 2} f} \frac{1 - σ^{2}}{E w_{0} L^{2}} (ϕ_{sub} + \frac{2}{\sqrt{π}} \frac{1 - 2 σ}{1 - σ} \frac{d}{w_{0}} ϕ_{coat})},

(2)

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σ_{A} = \sqrt{2 \ln 2 f} \frac{\sqrt{S_{ν} (f)}}{ν} = \sqrt{\ln 2 \frac{8 k_{B} T}{π^{3 / 2}} \frac{1 - σ^{2}}{E w_{0} L^{2}} (ϕ_{sub} + \frac{2}{\sqrt{π}} \frac{1 - 2 σ}{1 - σ} \frac{d}{w_{0}} ϕ_{coat})} .

(3)

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ν_{1, n} = \frac{1}{n} \sum_{i = 1}^{n} ν_{i},

(4)

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ν_{1 & 2} = ν_{2} + ν_{AOM} = (ν_{1} + ν_{2}) / 2 - ν_{SG 1} .

(5)

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Lulu Yan, Yanyan Zhang, Zhaoyang Tai, Pan Zhang, Xiaofei Zhang, Wenge Guo, Shougang Zhang, Haifeng Jiang. Multi-cavity-stabilized ultrastable laser[J]. Chinese Optics Letters, 2018, 16(12): 121403

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