A numerical optimization method for ultra-stable optical cavities

YE Sen; LONG Yun; WANG Ruquan; CAO Qiang; XIAO Sanqiang; ZHAO Hongming; DU Jian

doi:10.7510/jgjs.issn.1001-3806.2016.06.020

In order to reduce the vibration sensitivity of ultra-stable optical cavity, a new parameter was defined to characterize the vibration sensitivity of optical cavity by considering the displacement and rotation of mirrors. Based on the finite element analysis method, a typical vertical ultra-stable optical cavity was optimized by using the defined single parameter. In the optimization process, the key geometric parameters, including the cavity diameter, position and depth of supporting hole were took into account. The results show that the optimized cavity structure and support method could obviously reduce the vibration sensitivity of ultra-stable cavity. The stability of cavity was 1.5 times higher than that before optimization. The optimization method with good feasibility could improve the efficiency of simulation and design of ultra-stable cavities.

A numerical optimization method for ultra-stable optical cavities

Corresponding author: CAO Qiang, caoqiang@bit.edu.cn;

1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China;

2. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;

3. Science and Technology on Special Simulation Laboratory, Beijing Simulation Center, Beijing 100854, China

Received Date: 2015-11-09

Accepted Date: 2015-12-18

Available Online: 2016-11-25

Abstract: In order to reduce the vibration sensitivity of ultra-stable optical cavity, a new parameter was defined to characterize the vibration sensitivity of optical cavity by considering the displacement and rotation of mirrors. Based on the finite element analysis method, a typical vertical ultra-stable optical cavity was optimized by using the defined single parameter. In the optimization process, the key geometric parameters, including the cavity diameter, position and depth of supporting hole were took into account. The results show that the optimized cavity structure and support method could obviously reduce the vibration sensitivity of ultra-stable cavity. The stability of cavity was 1.5 times higher than that before optimization. The optimization method with good feasibility could improve the efficiency of simulation and design of ultra-stable cavities.

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Reference (17)

[1]	NICHOLSON T L, MARTIN M J, WILLIAMS J R, et al. Comparison of two independent Sr optical clocks with 110-17 stability at 103s[J]. Physical Review Letters, 2012, 109(23):230801.
[2]	HARTMAN M T, QUETSCHKE V, TANNER D B, et al. Parallel phase modulation scheme for interferometric gravitational-wave detectors[J]. Optics Express, 2014, 22(23):28327-28337.
[3]	LI Q L, FAN F Y, XIONG W J, et al.Laser frequency scale system in carbon isotopic abundance measurement[J]. Acta Physica Sinica, 2013,62(24):242801(in Chinese).
[4]	DU Zh J, ZHANG Y Ch, WANG X Y, et al.Locking multiple wavelength lasers to the transition of Cesium atoms by using a Fabry-Perot transfer cavity[J].Acta Optica Sinica, 2006,26(3):452-457(in Chinese).
[5]	TAN Zh Q, LONG X W. Influence of cavity length change on measurement of CW cavity ring-down[J]. Laser Technology, 2007, 31(4):438-441(in Chinese).
[6]	HU Ch X, WU Zh M, DENG T,et al. Influence of air gap on the lasing wavelength of the fiber grating external cavity semiconductor laser[J]. Laser Technology, 2008, 32(2):177-179(in Chinese).
[7]	NOTCUTT M, MA L S, YE J, et al. Simple and compact 1Hz laser system via an improved mounting configuration of a reference cavity[J]. Optics Letters, 2005, 30(14):1815-1817.
[8]	CHEN L Sh, HALL J, YE J, et al. Vibration-induced elastic deformation of Fabry-Perot cavities[J]. Physical Review, 2006, A74(5):053801.
[9]	MILLO J, MAGALHAES D V, MANDACHE C, et al.Ultrastable lasers based on vibration insensitive cavities[J]. Physical Review, 2009, A79(5):053829.
[10]	MIAO J, JIANG Y Y, FANG S, et al.Vibration insensitive optical ring cavity[J]. Chinese Physics, 2009, B18(6):2334-2339.
[11]	YANG T, LI W B, ZANG E J, et al. Decreased vibrational susceptibility of Fabry-Perot cavities via designs of geometry and structural support[J]. Chinese Physics, 2007, 16(5):1374-1384.
[12]	WEBSTER S A, OXBORROW M, GILL P. Vibration insensitive optical cavity[J]. Physical Review, 2007, A75(1):011801.
[13]	CAO Y J, LIU Y, CHEN G L, et al.Study on vibrational stabilization of cylindrical cavities[J]. Laser Technology, 2012, 36(2):262-264(in Chinese).
[14]	LEIBRANDT D R, THORPE M J, NOTCUTT M, et al. Spherical reference cavities for frequency stabilization of lasers in non-laboratory environments[J]. Optics Express, 2011, 19(4):3471-3482.
[15]	REN L Q,ZHU S,XU G J,et al.Study of a spherical vibration-insensitive optical reference cavity[J]. Acta Physica Sinica, 2014, 63(9):090601(in Chinese).
[16]	LIAO H Q,CHEN H,LIU G W,et al.Design of the ultra stabile spherical optical cavity[J]. Physics and Engineering, 2015, 25(1):55-58(in Chinese).
[17]	GUO H F, L Sh Sh, LIU F,et al.Analysis of the vibration sensitivity of Fabry-Perot cavities[J]. Chinese Journal of Lasers, 2012, 39(12):15-22(in Chinese).

A numerical optimization method for ultra-stable optical cavities

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