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1、网络出版时间：2017-05-0814:18:38网络出版地址：http://kns.cnki.net/kcms/detail/61.1235.O4.20170508.1418.096.html光子学报ACTAPHOTONICASINICAdoi:稿件编号：gz16y-0103无周期光学超晶格中误差函数研究张丽娟，赵丽明（晋中学院信息技术与工程学院，山西晋中030600）（首都师范大学物理系理论物理中心，北京100048）摘要：利用非线性共轭梯度算法设计了无周期光学超晶格结构，研究了文献[12]提
2、出的误差函数在该结构中的适用性。研究结果表明：误差函数能够很好地适用于无周期光学超晶格结构，且该结构比文献[12]中所用的非周期光学超晶格更具有一般性；当u(x)和n保2n持很好的线性关系时，无周期光学超晶格结构中计算所得的误差函数曲线与文献[12]中的误差函数曲线几乎是重合的，说明了在无周期光学超晶格中达到了很好的准相位匹配。通过在样品中引入随机误差进一步研究了相位失配情况下误差函数在无周期光学超晶格结构中的适用性，结果表明：相位失配时无周期光学超晶格结构中计算所得的误差函数曲线与标准曲线是有
3、偏离的，且相位失配程度越大，偏离也越大；对于一些误差函数曲线与标准曲线偏离不大的情况，误差函数仍可近似地用来估计无泵浦损耗近似的适用范围。关键词：二次谐波产生；误差函数；非线性共轭梯度算法；无周期光学超晶格；准相位匹配中图分类号：O437文献标识码：A文章编号：ResearchontheRelativeToleranceFunctioninNon-periodicOpticalSuperlatticeZHANGLi-juan,ZHAOLi-ming(SchoolofInformationTechn
4、ologyandEngineering,JinzhongUniversity,Jinzhong,Shanxi030600,China)（DepartmentofPhysics,CapitalNormalUniversity,Beijing100048,China)Abstract:TheNon-periodicOpticalSuperlatticestructurewasdesignedbyusingthetheNonlinearConjugate-Gradient(NCG)algorithm,a
5、ndtheapplicabilityintheNOSstructureoftherelativetolerancefunctionmentionedinRef.[12]wasstudied.Theresultsshowthat,thisrelativetolerancefunctioncanapplytotheNOSstructurewell,andtheNOSstructureismoregeneraltocomparewiththeAperiodicOpticalSuper-lattice(A
6、OS)whichisusedinRef.[12].Whenu(x)andnkeepa2ngoodlinearrelationship,therelativetolerancefunctioncurvecalculatedintheNOSstructureisnearlycoincidentwiththatmentionedinRef.[12],whichshowsthataQuasi-Phase-Matching(QPM)iswellsatisfiedintheNOSstructure.Thea
7、pplicabilityintheNOSstructureoftherelativetolerancefunctionwhichisunderthecaseofphasemismatchingwasalsofurtherlyinvestigatedbyintroducingtherandomerrorinthesample.Theresultsshowthat,therelativetolerancefunctioncurvecalculatedintheNOSstructureisnotcoin
8、cidentwiththestandardcurveunderthecaseofphasemismatching,andasthemismatchingdegreeincreases,therelativetolerancefunctioncurvesexhibitalargerdeviationfromthestandardone.TheapplicablescopeofUPA(Un-depletedPumpApproximation)canbeapproximatelycalc
