三維目標(biāo)電磁散射新型基函數(shù)及快速迭代技術(shù).pdf

1、電子科技大學(xué)碩士學(xué)位論文三維目標(biāo)電磁散射新型基函數(shù)及快速迭代技術(shù)姓名：徐光才申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：電磁場(chǎng)與微波技術(shù)指導(dǎo)教師：胡俊20090501AbstractAbstractThefastanalysisofthescatteringcharacteristicofthreedimensionS1[mctl】rehasalwaysbeenintensiveresearchincomputationalmethodsforelectr

2、omagneticsThisthesisfocusesonthemethodofnewbasisfunctionandfastiterationtechniqueThecontentincludes：themultiresolutionbasisfunctionanditsapplicationtothemultilevelfastmultipolealgorithm(MLFMA)；theLoop—Treebasisfunctionan

3、dtheincompleteCholesky(Ic)factorizationprecondition印pliedtoFMA；thePE—CRWGbasisfunctionanditsapplicationtomultiregioniterativemethod(MRI)MLFMAandthemodifiedtechniquebasedontheMIUMLFMAFirstly，theintegralequationmethodsfore

4、lectromagneticproblemsarebrieflyintroducedNumericalmethodsforintegralequationmomentofmethod(MoM)andthefastsolvingtechnique—MLFMAareintroducedaswellThen，thepreconditonaltechniqueinanalysisofelectromagneticsscatteringchara

5、cteristicispresentedSecondly，themultiresolution(MR)basisfunctionbasedonthemeshrefinementanditsconstructionmethodarestudiedTheMRbasisfunctionbasedontheRWGbasisfunctiondefinedontheplanartriangleanditsGalerkinMethodaresucce

6、ssfullyrealizedThediagonalpreconditionwhichmakinguseofthegoodspectralpropertiesisrealizedinMoMandMLFMATheiterationspeedisremarkablyimprovedThirdly，asthetraditionalRWGbasisfunctionandGalerkinMethodresultintonumericalunbal

7、ancebetweenvectorpotentialandscalarpotential，thescalarpotentialtermdominatesoverthevectorpotentialtermThisisthereasonforlowfrequencybreakdownTheLoopTreebasisfunctionisadoptedtoovercometheproblem，however，thiswouldleadtoba

8、dspectralpropertiesofimpedancematrixandslowiterationspeedTheICpreconditiontechniqueisappliedtotheintegralequationtoimprovethespectralpropertiesandacceleratetheiterationspeedofmatrixequationFinally，inordertoimprovethememo