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《Advances in Optics and Photonics 1, 58(2009)Understanding leaky modes-slab waveguide revisited》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、Understandingleakymodes:slabwaveguiderevisitedJonathanHu*andCurtisR.MenyukUniversityofMarylandBaltimoreCounty,TRC205A,5200WestlandBoulevard,Baltimore,Maryland21227,USA*Correspondingauthor:hu1@umbc.eduReceivedJuly25,2008;revisedNovember5,2008;acceptedNove
2、mber6,2008;postedNovember6,2008(Doc.ID99380);publishedJanuary29,2009Computationalmethodsfordeterminingthecomplexpropagationconstantsofleakywaveguidemodeshavebecomesopowerfulandsoreadilyavailablethatitispossibletousethesemethodswithlittleunderstandingofwh
3、attheyarecalculating.Wecomparedifferentcomputationalmethodsforcalculatingthepropagationconstantsoftheleakymodes,focusingontherelativelysimplecontextofaW-typeslabwaveguide.Inalosslessmediumwithinfinitetransverseextent,adirectdeterminationoftheleakymodebyus
4、ingmodematchingiscomparedwithcompletemodedecomposition.Themodematchingmethodisanalogoustothemultipolemethodintwodimensions.Wethencomparetheseresultswithasimplefinite-differenceschemeinatransverseregionwithabsorbingboundariesthatisanalogoustofinite-differen
5、ceorfinite-elementmethodsintwodimensions.Whilethephysicalmeaningoftheleakymodesinthesedifferentsolutionmethodsisdifferent,theyallpredictanearlyidenticalevolutionforaninitial,nearlyconfinedmodeprofileoveralimitedspatialregionandalimiteddistance.Finally,wedem
6、onstratethatawaveguidethatusesbandgapconfinementwithacentraldefectproducesanalogousresults.OCIScodes:000.4430,230.7400.1.Introduction...............................................602.WaveEquationandItsSolutionsinSlabWaveguides...............633.NonleakyW
7、aveguides.......................................693.1.UniformMedium.......................................693.2.Three-LayerWaveguide..................................724.W-TypeWaveguide..........................................764.1.LeakyModeAnalysis....
8、................................774.2.PerturbationAnalysis....................................794.3.PhysicalExplanationofExponentialDecay...................794.4.RadiationModeDecomposition............................804.5.
