How to program FDTD

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1、HowtoprogramFDTDv0.1byKyriacouAdamos,GreeceHowtoprogramtheFDTDforEMSimulations(v0.1)Author:KyriacouAdamosLocation:Xanthi,GreeceE-mailAddress:somada141@yahoo.grForeword:Thepurposeofthisguideisreallystraightforward.IwanttohelppeoplewiththeimplementationoftheFiniteDifferenceTimeDo

2、mainmethod.ThismethodiswelldocumentedhenceIwon’tbothertoexplainitsinnerworkings(forthisyoumustreadsuchgreatbooksasTaflove’sComputationalElectrodynamicswhichexplainsthemethodgreatly)butratherthekinksonemightfacewhileactuallyprogrammingthismethod.Thereasonsuchaguidewaswrittenisth

3、atwhileIwasstudyingFDTDthereweretonsofpointsnoonebotheredtoclarify,notinanyoneofthefamousbooks.Thattookmealotoftimetofigureonmyownandalotofmistakes.IftherewassuchaguidewhenIwasstrugglingIwouldhavekissedtheauthor’sfeet(notthatIwantsuchadisgustingthing).Iknowthatasitis,thisguidew

4、illonlyhelptotalnewbiestoFDTDsinceitdoesn’tcoveranymoreadvancedissues.ButifthereisapositiveresponsefromthecommunityIwillupdatethisguidetoincludemorecomplextopicssuchas:AbsorbingBoundaryConditionsSourceModelingImplementationofotherequations(suchastheBioheatEquation)BEWARE:THI

5、SDOCUMENTISMERELYWHATYOUCOULDCALLABETA-NOTAFINALVERSION.IFENOUGHPEOPLEAREINTERESTEDINTHISGUIDETHENIWILLCONTINUETHISGUIDEANDUPDATEIT.BEWARE:Thecodesuppliedinthisguideisfarfromoptimized.Tobehonestitisprobablythemostinefficientcode.Howeveritisalsothesimplestcode.Thisguide’spurpose

6、istoteachFDTDnotprogramming.OfcoursethisisnotthecodeIamusingforFDTDbutthefirstcodeIwrote.Sogoahead,learnFDTDandthenimproveit.1HowtoprogramFDTDv0.1byKyriacouAdamos,GreeceTheYee-CellItallstartswiththeformoftheYeecellwearegoingtouse.InthiscasetheYeecellweareusingistheoneshownbelow

7、:ZEyExHzExEyEzEzHxHyHyEzEzHxEyYExHzExEyXstndAlthoughtheaboveformisn’ttheoneshownbyTaflove(atleastinthe1and2Editionsofhisbook)mostpeopleusethiswhenprogrammingFDTD.Sowearegoingtousethisonebecause:ItwillbeeasiertocompareourcodewiththatofothersItallowseasierimplementationofPerfec

8、tElectricConductors(PEC)2HowtoprogramFDTDv0.1byKyriaco