铌酸锂晶体的研究与分析

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1、铌酸锂晶体的研究与分析摘要本文基于新型线性电光效应耦合波理论，通过设定超晶格周期极化铌酸锂晶体倒格矢参数，从而弥补双折射时o光和e光折射率不同造成的相位失配。计算有效电光系数，推倒耦合波方程的解析解。并利用matlab进行线性仿真，研究温度，波长，外加电场和晶体占空比变化时对于电光效应中的转换效率的影响。仿真的数值结果表明：随着温度与相位匹配时对应的温度的差值的增大，相位失配量将增加，从而导致转换效率呈峰值逐渐降低的波动形式趋于零，当温度满足相位匹配时转换效率最高；此外晶体极化周期数量的增加，将使得转换效率的波动更加剧烈，其值也降低的更快，波动次数

2、也将增多。改变波长的情况基本类似于温度，仅在波动细节上有细微差距。而电场对转换效率的影响则是成正比的线性关系。此外我们所取的占空比约等于0.25和0.75时将可以使转换效率取到最大值。关键词铌酸锂；电光效应；耦合波；转换效率III铌酸锂晶体的研究与分析AbstractBasedonthenewwavecouplingtheoryoflinearelectro-opticeffect.BysettingthegratingwavevectorparametersofperiodicallypoledLiNbOcrystal,wecompensatef

3、orthephase-matchedwhichiscausedbydifferentindexofrefractionoftheo-rayande-raywhenbirefringencehappens.Wecancalculatetheeffectiveelectro-opticcoefficientofthesystem.Throughtheanalyticalsolutionofthewavecouplingequations,usematlabtodolinearsimulation,andstudyontheinfluenceofthec

4、onversionefficiencyintheelectro-opticaleffectwhentemperature,wavelength,electricfieldintensityandcrystaldutycyclechange.Numericalsimulationresultsshowthat,withtheincreasingdifferencemadebytemperaturewhichcorrespondstothetemperatureandphasematching,theamountofphasemismatchwilli

5、ncrease.itresultsinanincreaseofphasemismatch,thuscausingtheconversionefficiencytoassumethefluctuatingformtendingtozerowhichthepeakvaluereducesgradually;whenthetemperaturesatisfiesphasematch,conversionefficiencyisthehighest.Inadditionwhenthenumberofthecrystalpolarizationcyclein

6、creases,thefluctuationoftheconversionefficiencywillbemoreviolent,thevaluewillalsoreducefasterandthenumberoffluctuationswillincrease.Thesituationofthewavelengthissimilarwiththetemperature.Thereisjustonlylittlediscrepancyonthefluctuationindetailsoftheconversionefficiency.Butthei

7、nfluenceoftheelectricfieldtotransferefficiencyistheproportionallinearrelationship.Inaddition,whenthedutycycleisequivalenttoabout0.75and0.25,theconversionratecanbetakentothemaximum.KeywordsLiNbO;electro-opticaleffect;coupledwave;conversionefficiencyIII铌酸锂晶体的研究与分析目录摘要IAbstractII

8、第1章绪论11.1引言11.2电光效应的理论发展11.3研究方向和内容21.4本章小结3第2章LiNbO晶体电光效应理论4