医学专题—第二章-脉冲在光纤中的传输.ppt

第二章脉冲(màichōng)在光纤中的传输你应该掌握(zhǎngwò)什么?光是电磁波介质(jièzhì)中的Maxwell方程组IthinkMaxwellequationsistoogenericortoocomplextosolve.AndhowcanIseethewavenatureoflightfromtheseequations?DerivationoftheWaveEquationfromMaxwell’sEquationsDerivationoftheWaveEquationfromMaxwell’sEquations(cont’d)从Maxwell方程组到关于(guānyú)电场的波动方程感应极化(jíhuà)P与光场的关系感应极化(jíhuà)P与光场的普适关系光纤中P与E的简单(jiǎndān)关系光纤中P与E的简单(jiǎndān)关系下一步(yībù)做什么?从波动(bōdòng)方程到非线性Schrodinger方程非线性Schrodinger方程(fāngchéng)非线性Schrodinger方程(fāngchéng)(includinghigher-orderterms)到底(dàodǐ)用哪个方程？需考虑哪些项？再考察(kǎochá)光场如何(rúhé)描述光脉冲？Anultrashortlaserpulsehasanintensityandphasevs.time.Temporal&SpectralShapesofcommonpulsesSecond-orderPhase:TheLinearlyChirpedPulseChirpedwaveandchirpedpulseTheInstantaneousFrequencyvs.timeforaChirpedPulse常见(chánɡjiàn)啁啾脉冲表达式TheTime-BandwidthProductofaChirpedGaussianPulse如何(rúhé)求解非线性Schrodinger方程数值(shùzí)求解NLSE分步Fourier方法(fāngfǎ)分步Fourier方法(fāngfǎ)(Split-StepFourierMethod,SSFM)分步Fourier方法算法(suànfǎ)实现分步Fourier方法算法(suànfǎ)实现ProblemsaboutNumericalSimulationsonNLSESummaryThinking&Doing,MakeYouSuccessful!内容(nèiróng)总结