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1、SimulationofNonlinearOpticalEffectsinPhotonicCrystalsUsingtheFinite-DifferenceTime-DomainMethodAThesisPresentedtoTheAcademicFacultyByCharlesM.ReinkeInPartialFulfillmentOftheRequirementsfortheDegreeMasterofScienceinElectricalEngineeringGeorgiaInstituteofTechnologyMay2007
2、SimulationofNonlinearOpticalEffectsinPhotonicCrystalsUsingtheFinite-DifferenceTime-DomainMethodApprovedby:Dr.AliAdibiSchoolofElectricalandComputerEngineeringGeorgiaInstituteofTechnologyDr.JohnBuckSchoolofElectricalandComputerEngineeringGeorgiaInstituteofTechnologyDr.Tho
3、masGaylordSchoolofElectricalandComputerEngineeringGeorgiaInstituteofTechnologythDateApproved:March27,2007AcknowledgementsOfallthethingsthatseemedtofallintoplacewhenIwasstartingmygraduatestudentcareer,oneofthemostsignificantwasbeingselectedanewprofessoratGeorgiaTechtojoi
4、nhisresearchgroup.WorkingwithDr.AliAdibihasprovedtobeagreatopportunity,ashestrivedtomakemytimeatGeorgiaTechasprofitableaspossible.Iamoverwhelmedwithappreciationforhistime,knowledge,andcommitmenttomeasmyadvisor.IwouldalsoliketothankDr.SinaKhorasaniforhisinvaluableassista
5、nceduringtheearlystagesofthisresearchproject.Hehadthevisiontoseewhatitcouldbecome,andtaughtmemuchaboutnonlinearopticsandnumericalelectromagneticsalongtheway.IonlywishthatourtimeworkingtogetheratGeorgiaTechcouldhavebeenlonger.Also,IappreciateDr.ReginaldLeeandDr.YongXufor
6、theuseoftheirfinite-differencetime-domaincode,andseveralhelpfuldiscussionsregardingitandthetechniqueingeneral.Iamgreatlyindebtedtomyparentsforallofthelove,support,andwisdomtheyhaveofferedmeduringmethroughoutmylifeandgradschoolyearsinparticular.WithoutthemIwouldcertainly
7、notbewhereIamtoday,andwithouttheirprayerswouldlikelynothaveenduredthroughmygraduatestudies.Finally,IwouldliketothankGodAlmighty,WhomademewhoIam,empowersmeinallofmysuccessesbyHisSonYeshua,andguidesmythroughmylifejourneythroughHisSpirit.iiiTableofContentsAcknowledgements…
8、……………………………………………………………………iiiListofFigures……………………………………………………………………………..vSummary……………………………………………………………………………
