A New Algorithm for FDTD

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1、万方数据第26卷第1期苏州科技学院学报(自然科学版)V01．26No．12009年3月JournalofSuzhouUniversityofScienceandTechnolo$!(NaturalScience)Mat．2009ANewAlgorithmforFDTDWANGJian-yon91，LIQing-wu2(1．Department缸MathematicsandPhysics，HehaiUniversity。Changzhou213022，China；v．ngineeriIlg，HehaiUniversity，ChangzlIou213022，China)Abstract：Th

2、esteppingdirection0fthefinite-differencetime-domainmethod(FDID)istime-stepping．Inthispaper,aIIewalgorithmforFOIDispmposed，whosesteppingdirectionisspace-stepping；thatis。thestareddataisupdatedalongacertainspaceaxis，butnotalongthetimeaxis．Takingone-dimensionalcaseforexample，theauthorshaveillustrated

3、thefundamentalprincipleandpresentedthedifference∞hemeofMaxwdl'scudequations,one-wayequationsandcon伪pondingMurscheme．wavesourceconditions．Andthevalidity0fthisalgorithmisverifiedbynumericalexperiments．Theprinciplec蛐bepopularizedtonumericalsolutionofallkindsofdifferentialequations．Keywords：thefinite

4、-differencefime--doma／nmethod；absorbingboundaryconditions；wave$ollrceconditiona血e辨LibraryClassificafioa：TN011LiteratureLabelCode：APaperNumber：1672-0687(2009)01-0072-434The6Ilite—differencetime—domain(FDTD)method【1。司iSawidelyusednumericaltechniqueforelectromag-neticsimulationnowadays．Themethodsolv

5、esMaxwell’Sequationsinthetimedomainbyevolvingintimeandspace．Currently。thesteppingdirectionofF姗istime-stepping，thatis，storeddataisupdatedalongthetimeaxis．Forconvenience，thisFDrIDmethodwillbecalledtime-steppingFD，ID(T—S啪)inothersectionsofthispaper．Infact，thedirectionCallalsobespace-stepping，thatis，

6、storeddataisupdatedalongacertainspaceaxis，butnotthetimeaxis．SimilartoT-SF啪。forconvenience，thisFI)’rDmethodwillbecalledspace—step-ping肿(S-SFDTD)．Itisevidentthatthetwoalgorithmshaveseveraladvantagesrespectively．Therefore，itisnecessarytOresearchonS—Sn”D．1PrincipleofS—SFDTDForclarity，theprinciplewill

7、beillustratedforthecageofone—dimensionalwaveinlinear，nondispersive，andnonlossymaterials．Assumethatthewavepropagatesalongthe：axis，then，Maxwell’Scurlequationsare警=叶誓(1)韶讲誓=牛警(2)豫1aceilforI-DFD'IDInaccordancewithYeealgori