分类号：O437UDC：密级：公开编号：2005031126成都信息工程学院学位论文光纤负色散区两光波的调制不稳定研究论文作者姓名：申请学位专业：电子科学与技术申请学位类别：工学学士指导教师姓名（职称）：论文提交日期：光纤负色散区两光波的调制不稳定研究摘要当不同波长同偏振的两光波在光纤中传输时，由于光纤中交叉相位调制（XPM）和光纤中色散效应共同作用，可能导致交叉相位调制不稳定性产生。本文从光纤中光脉冲的耦合非线性薛定谔方程出发，采用线性稳定性分析法解析研究了光纤中双光波的交叉相位调制不稳定性条件和增益谱，并计算模拟和讨论了光纤负色散区的增益谱随色散参数、非线性系数和光纤功率的变化规律，并与相同参数下正色散区的情形进行比较分析。结果表明：在其它条件相同时，随着光功率的增加，增益谱的谱峰和谱宽都变大。而随着色散参数的增大，谱宽变窄，谱峰变化小。随着非线性系数的增加，增益谱的谱峰和谱宽都变大。相比较而言，负色散区的增益谱比正常色散区更宽，增益峰值也更高，即在负色散区更易产生调制不稳定性。关键词：交叉相位调制；线性稳定性分析；调制不稳定性；增益谱StudyonmodulationinstabilityoftwoopticalwavesintheanomalousdispersionregimeofopticalfibersAbstractWhenthetwoopticalwaveswiththesamepolarizationbuttwodifferentwavelengthspropagatinginopticalfibers,duetotheinteractionbetweencross-phasemodulation(XPM)anddispersioneffectsofopticalfibers,cross-phasemodulationinstabilitymayoccur.Inthispaper,startingfromthecouplingnonlinearSchrodingerequationsinopticalfibers,adoptingthelinearstableanalysis,theconditionsandthegainspectraofcross-phasemodulationinstabilityareanalyticallyderived.Andthevariationofgainspectrawiththedispersionparameters,nonlinearcoefficientsandtheinputpowersoftheopticalwavesiscalculatedanddiscussedintheanomalousdispersionregimeofopticalfibers.Moreover,comparisonisalsomadewiththecaseofnormaldispersionregime.Theresultsshowthat,Whentheotherparametersarethesame,boththewidthsandpeakvaluesofthegainspectrawillincreasewiththeinputpowersandnonlinearcoefficients.Withtheincreaseofdispersonparameters,however,thespectralwidthswillnarrowbutthespectralpeakkeepnearlyunchanged.Incomparison,thespectralwidthsarewiderandthegainpeakslargerintheanomalousdispersionregimethanthoseinthenormaldispersionregime.Thatistosay,XPM-inducedmodulationinstabilityareeasiertoexistintheanomalousdispersionregime.Keywords:cross-phasemodulation;linearstableanalysis;modulationinstability;gainspectrum目录论文总页数：15页TOC\o"1-3"\h\z\uHYPERLINK\l"_Toc231549356"1引言PAGEREF_Toc231549356\h1HYPERLINK\l"_Toc231549357"2影响光脉冲在光纤中传输的因素PAGEREF_Toc231549357\h1