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We have investigated the vibrational sensitivity of a horizontal-mounted spherical reference cavity, which can be applied to develop an ultra-stable laser. Effects of different magnitudes of height and area as well as acceleration of the cavity support points on the length variation of the cavity are studied. When the cavity support points are totally constrained, the vibration sensitivity can be reduced to below 3.0×10-10/g. After performing extensive numerical simulations, we can find the optimal support position. According to the obtained results we present the mounting scheme of the spherical cavity. Taking into consideration the machining errors, near-horizontal mounting, and unsymmetrical mounting of the cavity, we can describe quantitatively the length variation of the cavity caused by these three factors. We also discuss the contribution of the second order effect to the length variation of the cavity.
[1] Jiang Y Y, Ludlow A D, Lemeke N D, Fox R W, Sherman J A, Ma L S, Oates C W 2011 Nat. Photonics 51 58
[2] Chang H, Wang X L, Tian X, Zhang S G, Gao F 2011 Acta Phys. Sin. 60 050601 (in Chinese) [常宏, 王心亮, 田晓, 张首刚, 高峰 2011 60 050601]
[3] Wang Y B, Chen J, Tian X, Gao F, Chang H 2012 Acta Phys. Sin. 61 020601 (in Chinese) [王叶兵, 陈洁, 田晓, 高峰, 常宏 2012 61 020601]
[4] Gao F, Wang Y B, Tian X, Xu P, Chang H 2012 Acta Phys. Sin. 61 173201 (in Chinese) [高峰, 王叶兵, 田晓, 许鹏, 常宏 2012 61 173201]
[5] Jiang Y Y, Fang S, Bi Z Y, Xu X Y, Ma L S 2010 Appl. Phys. B 98 61
[6] Kessler T, Hagemann C, Grebing C, Legero T, Sterr U, Riehle F, Martin M J, Chen L S, Ye J, 2012 Nat. Photonics 6 687
[7] Notcutt M, Ma L S, Ye J, Hall J L 2005 Opt. Lett. 30 1815
[8] Chen L S, Hall J L, Ye J, Yang T, Zang E J, Li T C 2006 Phys. Rev. A 74 053801
[9] Webster S A, Oxborrow M, Gill P 2007 Phys. Rev. A 75 011801
[10] Yang T, Li W B, Zang E J, Chen L S 2007 Chin. Phys. 16 1374
[11] Liu T, Zhao Y N, Elman V, Stejskal A, Wang L J 2009 Opt. Lett. 34 190
[12] Miao J, Jiang Y Y, Fang S, Bi Z Y, Ma L S 2009 Chin. Phys. B 18 2334
[13] Millo J, Magalhaes D, Mandache C, Coq Y, English E, Westergaard P, Lodewyck J, Bize S, Lemonde P, Santarelli G 2009 Phys. Rev. A 79 053829
[14] Guo H F, L S S, Liu F, Wang C, Shen H, Li L F, Chen L S 2012 Chinese J. Lasers 39 1202004 (in Chinese) [郭海凤, 吕莎莎, 刘芳, 王春, 沈辉, 李刘锋, 陈李生 2012 中国激光 39 1202004]
[15] Leibrandt D, Thorpe M, Notcutt M, Drullinger R, Rosenband T, Bergquist J 2011 Opt. Expr. 19 3471
[16] Leibrandt D, Thorpe M, Bergquist J, Rosenband T 2011 Opt. Expr. 19 10278
[17] Webster S A, Gill P 2011 Opt. Lett. 36 3572
[18] Argence B, Lévéque T, Prevost E, Goff R L, Bize S, Lemonde P, Santarelli G 2012 Opt. Expr. 20 25409
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[1] Jiang Y Y, Ludlow A D, Lemeke N D, Fox R W, Sherman J A, Ma L S, Oates C W 2011 Nat. Photonics 51 58
[2] Chang H, Wang X L, Tian X, Zhang S G, Gao F 2011 Acta Phys. Sin. 60 050601 (in Chinese) [常宏, 王心亮, 田晓, 张首刚, 高峰 2011 60 050601]
[3] Wang Y B, Chen J, Tian X, Gao F, Chang H 2012 Acta Phys. Sin. 61 020601 (in Chinese) [王叶兵, 陈洁, 田晓, 高峰, 常宏 2012 61 020601]
[4] Gao F, Wang Y B, Tian X, Xu P, Chang H 2012 Acta Phys. Sin. 61 173201 (in Chinese) [高峰, 王叶兵, 田晓, 许鹏, 常宏 2012 61 173201]
[5] Jiang Y Y, Fang S, Bi Z Y, Xu X Y, Ma L S 2010 Appl. Phys. B 98 61
[6] Kessler T, Hagemann C, Grebing C, Legero T, Sterr U, Riehle F, Martin M J, Chen L S, Ye J, 2012 Nat. Photonics 6 687
[7] Notcutt M, Ma L S, Ye J, Hall J L 2005 Opt. Lett. 30 1815
[8] Chen L S, Hall J L, Ye J, Yang T, Zang E J, Li T C 2006 Phys. Rev. A 74 053801
[9] Webster S A, Oxborrow M, Gill P 2007 Phys. Rev. A 75 011801
[10] Yang T, Li W B, Zang E J, Chen L S 2007 Chin. Phys. 16 1374
[11] Liu T, Zhao Y N, Elman V, Stejskal A, Wang L J 2009 Opt. Lett. 34 190
[12] Miao J, Jiang Y Y, Fang S, Bi Z Y, Ma L S 2009 Chin. Phys. B 18 2334
[13] Millo J, Magalhaes D, Mandache C, Coq Y, English E, Westergaard P, Lodewyck J, Bize S, Lemonde P, Santarelli G 2009 Phys. Rev. A 79 053829
[14] Guo H F, L S S, Liu F, Wang C, Shen H, Li L F, Chen L S 2012 Chinese J. Lasers 39 1202004 (in Chinese) [郭海凤, 吕莎莎, 刘芳, 王春, 沈辉, 李刘锋, 陈李生 2012 中国激光 39 1202004]
[15] Leibrandt D, Thorpe M, Notcutt M, Drullinger R, Rosenband T, Bergquist J 2011 Opt. Expr. 19 3471
[16] Leibrandt D, Thorpe M, Bergquist J, Rosenband T 2011 Opt. Expr. 19 10278
[17] Webster S A, Gill P 2011 Opt. Lett. 36 3572
[18] Argence B, Lévéque T, Prevost E, Goff R L, Bize S, Lemonde P, Santarelli G 2012 Opt. Expr. 20 25409
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