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Volume 28 Issue 4
Sep.  2013
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Further analysis of modulation instability induced by cross-phase modulation

  • Received Date: 2003-08-11
    Accepted Date: 2004-01-12
  • Based on the coupled nonlinear Schrdinger equation,conditions and gain spectra of modulation instability(MI) induced by cross-phase modulation(XPM) of two optical waves in the optical fiber are analyzed in detail. The results show that when one of the two optical waves propagates in the normal group-velocity dispersion (GVD) regime and the other in the anomalous regime,depending on parameters of the two optical waves,perturbation gain spectra may take three possible forms. Under certain circumstances,it is even possible that there are two forms of gain spectra within certain range of perturbation frequency.
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    AGRAWAL G P.Modulation instability induced by cross-phase modulation in optical fibers [J].Phys Rev,1989,A39(7):3406~3413.
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    ROTHENBERG J E.Modulation instability of copropagating frequencies for normal dispersion [J].Phys Rev Lett,1990,64(7):813~814.
    [5] 杨爱玲,王晶,苗洪利 et al.色散缓变光纤中交叉相位调制不稳定增益谱 [J].激光技术,2003,27(1):44~46.

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    WABNITZ S.Modulation polarization instability of light in a nonlinear birefringent dispersive medium [J].Phys Rev,1988,A38(4):2018~2021.
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    CAVALCANTI S B,CRESSONI J C,da CRUZ H R et al.Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrdinger equation [J].Phys Rev,1991,A43(11):6162~6165.
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    KUMAR S,SELVARAJAN A,ANAND G V.Nonlinear copropagation of two optical pulses of different frequencies in birefringent fibers [J].J O S A,1994,B11(5):810~817.
    [9] 王晶,冯占民,苗洪利 et al.交叉相位调制产生调制不稳定性的基态增益谱 [J].光电子·激光,2000,11(1):83~85.

    [10] 徐文成,罗爱平,郭旗 et al.色散缓变光纤中的调制不稳定性分析 [J].光学学报,2000,20(10):1435~1439.

    [11] 张书敏,徐文成,罗爱平 et al.色散缓变光纤中飞秒光脉冲的调制不稳定性研究 [J].光学学报,2001,21(6):656~659.

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    AFANASYEV V V,KIVSHAR Y S,KONOTOP V V et al.Dynamics of coupled dark and bright optical solitons [J].Opt Lett,1989,14(15):805~807.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Further analysis of modulation instability induced by cross-phase modulation

  • 1. Department of Optoelectronics, Sichuan University, Chengdu 610064, China

Abstract: Based on the coupled nonlinear Schrdinger equation,conditions and gain spectra of modulation instability(MI) induced by cross-phase modulation(XPM) of two optical waves in the optical fiber are analyzed in detail. The results show that when one of the two optical waves propagates in the normal group-velocity dispersion (GVD) regime and the other in the anomalous regime,depending on parameters of the two optical waves,perturbation gain spectra may take three possible forms. Under certain circumstances,it is even possible that there are two forms of gain spectra within certain range of perturbation frequency.

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