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《Chinese Journal of Lasers》 2005-10
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Coupled-Mode Analysis of Modulation Instability in Frequency-Mixing Process with Fiber Loss

XIONG Jie,LUO Bin,PAN Wei,XIAO Bo(Institute of Optical Communication,Southwest Jiaotong University,Chengdu,Sichuan 610031,China)  
Considering the fiber loss,focusing on the two carried frequencies and sideband frequencies generated in the frequency-mixing process,the coupled-mode method was used to investigate the modulation instability(MI) under the effect of group velocity dispersion(GVD),self-phase modulation(SPM) and cross-phase modulation(XPM).The expressions of gain caused by SPM or XPM of carried frequencies were given when one phase matched perfectly and others mismatched seriously.The maxima of gain are independent of GVD when the MI is caused by SPM or XPM mainly.The maxima of gain at different sidebands are equal when MI is caused by XPM.After considering the fiber loss,the decreased degree of gain is affected by power,nonlinear coefficient,dispersion,loss coefficient and transmission distance,and only when the frequency shift is large enough,the MI gain occurs.The frequency shift corresponding to the maximal gain caused by SPM decreases after considering the fiber loss.
【Fund】: 国家自然科学基金(10174057);; 高等学校博士点科研基金(20030613007);; 西南交通大学博士创新基金资助项目
【CateGory Index】: TN818;
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