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Using the linear approximation method, we calculate the intensity correlation function and the output signal-tonoise ratio (SNR) by adding a modulated wave to light intensity equation of a single mode laser system driven by the periodic force of modulating noise. Through the numerical calculation and analysis of the SNR, we find that the lowfrequency modulation frequency Ω, the high-frequency carrier frequency ω, and the frequency of periodic force Ωλ have a significant effect on the SNR. In particular, multi-peak stochastic resonances and strong single-peak resonance with low-frequency modulation frequency Ω appear in the SNR. When Ω ω, the system exhibits multi-peak resonance and the distance between the resonance peaks increases with the increase of Ωλ, but the position of peak is invariant. When Ω → ω, the output SNR R increases rapidly, the effect of Ωλ becomes weak or negligible, and multi-peak resonance disappears. When Ω = ω, a strong single-peak resonance appears in the system. In addition, the SNR varies with the decrease of amplitude of the multi-peak stochastic resonance, and with the SNR changes with carrier frequency the single-peak stochastic resonance appears in the system.
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Keywords:
- multi-peak stochastic resonance /
- single-peak stochastic resonance /
- signal to noise ratio
[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phts. A: Math.Gen 14 L453
[2] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1994 Phys. Rev. E 49 4878
[4] Burada P S, Schmid G, Reguera D, Rubi J M, Hänggi P 2009 Europhys. Lett. 87 50003
[5] Jin Y F, Xu W, Xu M, Fang T 2005 J.Phys. A: Math. Gen. 38 3733
[6] Tang Y, Gao H J, Zou W, Kurths J 2013 Phys. Rev. E 87 062920
[7] He G T, Luo R Z, Luo M K 2013 Phys. Scr. 88 065009
[8] Li D S, Li J H 2010 Commun. Theor. Phys. 53 298
[9] Gao S L, Wei K, Zhong S C, Ma H 2012 Phys. Scr. 86 025002
[10] Lemarchand A, Gorecki J, Gorecki A, Nowakowski B 2014 Phys. Rev. E 89 022916
[11] Kravtsov N V, Lariontsev E G, Chekina S N 2013 Quantum Electron. 43 917
[12] Cao L, Wu D J 2007 Phys. Scr. 76 539
[13] Han L B, Cao L, Wu D J, Wang J 2004 Acta Phys. Sin. 53 2127 (in Chinese) [韩立波, 曹力, 吴大进, 王俊 2004 53 2127]
[14] Zhang L Y Cao L, Wu D J 2009 Commun. Theor. Phys. 52 143
[15] Wang B, Wu X Q, Qian J F 2010 Chin. Opt. Lett. 8 1160
[16] Zheng C M, Guo W, Du L C, Mei D C 2014 Europhys. Lett. 105 60004
[17] Chen L M, Cao L, Wu D J 2006 Chin. J. Quantum Electron. 23 167 (in Chinese) [陈黎梅, 曹力, 吴大进 2006 量子电子学报 23 167]
[18] Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 952
[19] Zhang L Y, Cao L, Wu D J 2008 Cummun. Theor. Phys. 49 1310
[20] Chen D Y, Zhang L 2009 Chin. Phys. B 18 1755
[21] Chen L M, Cao L, Wu D J, Ge G Q 2005 Commum. Theor. Phys. 44 638
[22] Mcnamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[23] Barykin A V, Seki K 1998 Phys. Rev. E 57 6555
[24] Berdichevsky V, Gitterman M 1999 Phys. Rev. E 60 1494
[25] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514 (in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[26] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
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[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phts. A: Math.Gen 14 L453
[2] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rev. Mod. Phys. 70 223
[3] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1994 Phys. Rev. E 49 4878
[4] Burada P S, Schmid G, Reguera D, Rubi J M, Hänggi P 2009 Europhys. Lett. 87 50003
[5] Jin Y F, Xu W, Xu M, Fang T 2005 J.Phys. A: Math. Gen. 38 3733
[6] Tang Y, Gao H J, Zou W, Kurths J 2013 Phys. Rev. E 87 062920
[7] He G T, Luo R Z, Luo M K 2013 Phys. Scr. 88 065009
[8] Li D S, Li J H 2010 Commun. Theor. Phys. 53 298
[9] Gao S L, Wei K, Zhong S C, Ma H 2012 Phys. Scr. 86 025002
[10] Lemarchand A, Gorecki J, Gorecki A, Nowakowski B 2014 Phys. Rev. E 89 022916
[11] Kravtsov N V, Lariontsev E G, Chekina S N 2013 Quantum Electron. 43 917
[12] Cao L, Wu D J 2007 Phys. Scr. 76 539
[13] Han L B, Cao L, Wu D J, Wang J 2004 Acta Phys. Sin. 53 2127 (in Chinese) [韩立波, 曹力, 吴大进, 王俊 2004 53 2127]
[14] Zhang L Y Cao L, Wu D J 2009 Commun. Theor. Phys. 52 143
[15] Wang B, Wu X Q, Qian J F 2010 Chin. Opt. Lett. 8 1160
[16] Zheng C M, Guo W, Du L C, Mei D C 2014 Europhys. Lett. 105 60004
[17] Chen L M, Cao L, Wu D J 2006 Chin. J. Quantum Electron. 23 167 (in Chinese) [陈黎梅, 曹力, 吴大进 2006 量子电子学报 23 167]
[18] Jin G X, Zhang L Y, Cao L 2009 Chin. Phys. B 18 952
[19] Zhang L Y, Cao L, Wu D J 2008 Cummun. Theor. Phys. 49 1310
[20] Chen D Y, Zhang L 2009 Chin. Phys. B 18 1755
[21] Chen L M, Cao L, Wu D J, Ge G Q 2005 Commum. Theor. Phys. 44 638
[22] Mcnamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[23] Barykin A V, Seki K 1998 Phys. Rev. E 57 6555
[24] Berdichevsky V, Gitterman M 1999 Phys. Rev. E 60 1494
[25] Zhang X Y, Xu W, Zhou B C 2011 Acta Phys. Sin. 60 060514 (in Chinese) [张晓燕, 徐伟, 周丙常 2011 60 060514]
[26] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
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