[数值]3[FDTD][Taflove-2003]Finite-ElementTime-DomainAlgorithms for....

Finite-ElementTime-DomainAlgorithms for ModelingLinearDebyeandLorentzDielectric DispersionsatLowFrequencies Ej"u1F14J  
NikolayS.Stoykov*, Member, IEEE, Todd A. Kuiken, Member, IEEE, Madeleine M. Lowery, Member, IEEE, # yN*',I&  
and AllenTaflove, Fellow, IEEE |`0n"x7  
Abstract—Wepresentwhatwebelievetobethefirstalgorithms _ck[&Q  
thatuseasimplescalar-potentialformulationtomodellinear suVmg-d  
DebyeandLorentzdielectricdispersionsatlowfrequenciesin Zh'&-c_J  
thecontextoffinite-elementtime-domain(FETD)numerical 6Hf,6>  
solutionsofelectricpotential.Thenewalgorithms,whichpermit JvL{| KtyU  
treatmentofmultiple-poledielectricrelaxations,arebasedonthe BJy;-(JP  
auxiliarydifferentialequationmethodandareunconditionally zK;XFN#U^  
stable.Wevalidatethealgorithmsbycomparisonwiththeresults VteEDL/w  
ofapreviouslyreportedmethodbasedontheFouriertransform. G%:GeW  
Thenewalgorithmsshouldbeusefulincalculatingthetransient >
cgpajx*  
responseofbiologicalmaterialssubjecttoimpulsiveexcitation. tJU-<{8  
PotentialapplicationsincludeFETDmodelingofelectromyog- rQr!R$t/[  
raphy,functionalelectricalstimulation,defibrillation,andeffects !
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oflightningandimpulsiveelectricshock. H=~9CJ+tc  
IndexTerms—Finiteelementmethods,transientanalysis. Ow/@Z7~  
I.INTRODUCTION  rLv;Y  
HEelectricalpropertiesofdielectricmaterialsinevitably z9 ($.  
varywithfrequency.Thisphenomenonistermeddielec- tj5giQ3DG)  
T m3 -9b"  
tricdispersion.Inthetimedomain,dispersionleadstoacon- #ekM"p  
volutionalrelationbetweenanimpulsiveexcitationandtheef- /X#z*GX  
fectivedielectricimpulseresponse.Thedielectricdispersion y{=>$C[  
propertiesofbiologicaltissueshavebeenstudiedextensively.A ~x]9SXD%  
numberoftheoreticalandempiricalmodelsareavailabletoex- iqPBsIW  
plainthelargevolumeofmeasureddata[1]–[7].However,fewif G;1?<3
 
anypublishedcomputationalsimulationsoftissueinteractions N+g@8Q2s;5  
withlow-frequencyelectricfieldsaccountforanydielectricdis- 7x k|+!  
persion.Thisholdsforavarietyofelectricalsignalswithinthe 75NRCXh.  
body,forexamplethoseduetomusclea .. h-QLV
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