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Stochastic resonance with frequency noise in a linear model of single-mode laser

Jin Guo-Xiang Zhang Liang-Ying Cao Li

Stochastic resonance with frequency noise in a linear model of single-mode laser

Jin Guo-Xiang, Zhang Liang-Ying, Cao Li
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  • By adding a periodic signal of the fluctuating frequency to the gain-noise model of the single-mode lasers, we calculate the correlated function and power spectrum of the output laser intensity and discuss the variation of signal-to-noise ratio(SNR) with the intensity of the noise and system parameter. The result indicates that the SNR shows stochastic resonances with the variations of intensities of the frequency noise, pump noise and quantum noise, also with the variations of gain coefficient and loss coefficient.
    • Funds:
    [1]

    Zhang L Y, Cao L, Wu D J, Wang J 2003 Chin. Phys. Lett. 20 25

    [2]

    Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江、 李 蓉、 温孝东 2003 物理学报52 2404]

    [3]

    Zhang L Y, Cao L , Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英、 曹 力、 吴大进 2003 物理学报 52 1174]

    [4]

    Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 0952

    [5]

    Kang Y M, Xu J X ,Xie Y 2003 Acta Phys. Sin. 52 2712 (in Chinese) [康艳梅、 徐健学、 谢 勇 2003 物理学报 52 2712]

    [6]

    Li J H, Huang Z Q , Wang C Y 1998 Acta Phys. Sin. 47 382 (in Chinese)[李静辉、 黄祖洽、 王存玉 1998 物理学报 47 382]

    [7]

    Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201

    [8]

    Mcnamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854

    [9]

    Barykin A V, Seki K 1998 Phys. Rev. E 57 6555

    [10]

    Berdichevsky V, Gitterman M 1999 Phys. Rev.E 60 1494

    [11]

    Li J L, Xu B H 2006 Chin. Phys. 15 2867

    [12]

    Zhou B C, Xu W 2007 Acta Phys. Sin. 56 5623 (in Chinese)[周丙常、 徐 伟 2007 物理学报 56 5623]

    [13]

    Lin M, Huang Y M 2006 Proc. of the CSEE. 26 128 (in Chinese) [林 敏、 黄咏梅 2006 中国电机工程学报 26 128]

    [14]

    Jin G X ,Cao L ,Zhang L Y 2007 Acta Phys. Sin. 56 3739 (in Chinese) [金国祥、 曹 力、 张良英 2007 物理学报 56 3739]

    [15]

    Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张 莉、 刘 立、 曹 力 2010 物理学报 59 1494]

    [16]

    Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝、 王忠龙 2008 物理学报 57 3333]

    [17]

    Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 102 (in Chinese) [陈德彝、 王忠龙 2009 物理学报 58 102]

    [18]

    Lin M, Meng Y 2010 Acta Phys. Sin. 59 3627 (in Chinese) [林 敏、 孟 莹 2010 物理学报 59 3627]

    [19]

    Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起、 丁 珂、 张 宇、 赵 远 2010 物理学报 59 3001]

    [20]

    Zhang L B, Zhang L Y 2009 Measurement & Control Technology 28 89 (in Chinese) [张良斌、 张良英 2009 测控技术 28 89]

    [21]

    Zhang X B, Dong H Y, Xuan Z L 2008 AppLied Acoustics 27 283 (in Chinese) [张晓兵、 董华玉、 玄兆林 2008 应用声学 27 283]

    [22]

    Fulinski A, Gora P F 2000 Journal of Statistical Physics 101 483

    [23]

    Hernandez-Garcia E, Toral R, San Miguel M 1990 Phys. Rev. A 42 6823

    [24]

    Zang L Y, Cao L,Wu D J 2009 Communications in Theoretical Physics 52 143

  • [1]

    Zhang L Y, Cao L, Wu D J, Wang J 2003 Chin. Phys. Lett. 20 25

    [2]

    Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江、 李 蓉、 温孝东 2003 物理学报52 2404]

    [3]

    Zhang L Y, Cao L , Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英、 曹 力、 吴大进 2003 物理学报 52 1174]

    [4]

    Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 0952

    [5]

    Kang Y M, Xu J X ,Xie Y 2003 Acta Phys. Sin. 52 2712 (in Chinese) [康艳梅、 徐健学、 谢 勇 2003 物理学报 52 2712]

    [6]

    Li J H, Huang Z Q , Wang C Y 1998 Acta Phys. Sin. 47 382 (in Chinese)[李静辉、 黄祖洽、 王存玉 1998 物理学报 47 382]

    [7]

    Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201

    [8]

    Mcnamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854

    [9]

    Barykin A V, Seki K 1998 Phys. Rev. E 57 6555

    [10]

    Berdichevsky V, Gitterman M 1999 Phys. Rev.E 60 1494

    [11]

    Li J L, Xu B H 2006 Chin. Phys. 15 2867

    [12]

    Zhou B C, Xu W 2007 Acta Phys. Sin. 56 5623 (in Chinese)[周丙常、 徐 伟 2007 物理学报 56 5623]

    [13]

    Lin M, Huang Y M 2006 Proc. of the CSEE. 26 128 (in Chinese) [林 敏、 黄咏梅 2006 中国电机工程学报 26 128]

    [14]

    Jin G X ,Cao L ,Zhang L Y 2007 Acta Phys. Sin. 56 3739 (in Chinese) [金国祥、 曹 力、 张良英 2007 物理学报 56 3739]

    [15]

    Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张 莉、 刘 立、 曹 力 2010 物理学报 59 1494]

    [16]

    Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝、 王忠龙 2008 物理学报 57 3333]

    [17]

    Chen D Y, Wang Z L 2009 Acta Phys. Sin. 58 102 (in Chinese) [陈德彝、 王忠龙 2009 物理学报 58 102]

    [18]

    Lin M, Meng Y 2010 Acta Phys. Sin. 59 3627 (in Chinese) [林 敏、 孟 莹 2010 物理学报 59 3627]

    [19]

    Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起、 丁 珂、 张 宇、 赵 远 2010 物理学报 59 3001]

    [20]

    Zhang L B, Zhang L Y 2009 Measurement & Control Technology 28 89 (in Chinese) [张良斌、 张良英 2009 测控技术 28 89]

    [21]

    Zhang X B, Dong H Y, Xuan Z L 2008 AppLied Acoustics 27 283 (in Chinese) [张晓兵、 董华玉、 玄兆林 2008 应用声学 27 283]

    [22]

    Fulinski A, Gora P F 2000 Journal of Statistical Physics 101 483

    [23]

    Hernandez-Garcia E, Toral R, San Miguel M 1990 Phys. Rev. A 42 6823

    [24]

    Zang L Y, Cao L,Wu D J 2009 Communications in Theoretical Physics 52 143

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Publishing process
  • Received Date:  24 May 2010
  • Accepted Date:  13 July 2010
  • Published Online:  15 April 2011

Stochastic resonance with frequency noise in a linear model of single-mode laser

  • 1. (1)Hubei Province Key Laboratory of Intelligent Robot, Wuhan Institute of Technology, Wuhan 430073, China; (2)School of Physics and Electronic Engineering, Xiangfan University, Xiangfan 441053, China; (3)School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

Abstract: By adding a periodic signal of the fluctuating frequency to the gain-noise model of the single-mode lasers, we calculate the correlated function and power spectrum of the output laser intensity and discuss the variation of signal-to-noise ratio(SNR) with the intensity of the noise and system parameter. The result indicates that the SNR shows stochastic resonances with the variations of intensities of the frequency noise, pump noise and quantum noise, also with the variations of gain coefficient and loss coefficient.

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