三層媒質(zhì)空域Green函數(shù)的快速算法及其應(yīng)用.pdf

1、東南大學(xué)碩士學(xué)位論文三層媒質(zhì)空域Green函數(shù)的快速算法及其應(yīng)用姓名：牟星申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：電子科學(xué)與技術(shù)；電磁場(chǎng)與微波技術(shù)指導(dǎo)教師：周后型20110304目錄ABSTRACTWhenthemethodofmomems(MOM)basedonthemixedpotentialintegralequationisusedtoanalysisalayeredmediamodel，spatialGreen’Sfunctionsareth

2、ekeyofthecalculationDuetothespecialgeometrystructureofthelayeredmedia，spectralGreen’SfunctionscanbededucedeasilyThen，spatialGreen’SfunctionscanbeexpressedasaSommerfeldintegralofspectralGreen’SfunctionsThehighoscillationa

3、ndslowattenuationofBesselorHankelfunctionsintheintegrandsresultinquitetime—consumingintegrations，whichbecomesabottleneckoftheMoManalysisSo，thefastalgorithmsforspatialGreen’SfunctionsareveryimportantInthisdissertation，wei

4、mprovethepathtrackingalgorithmonspectralGreen’Sfunctionsforathreelayeredmediainordertoaccuratelyandefficientlylocateallthemodesoftwodimensionalandthree—dimensionalspectralGreen’SfunctionsIntheapplicationofthreelayeredspa

5、tialGreen’Sfunctions，weconsidertheelectromagneticscatteringfromtwodimensionalmicro—stripstructureandthree—dimensionalburiedobjectandovercometheinaccuracycausedbytheDCIMbyusinginterpolationscheme，andthenwecanquicklyandacc

6、uratelycalculatespatialGreen’SfunctionsunderthegeneralsourcefielddistancesituationThemainworkofthisdissertationiSlistedasfollows：(1)AnimprovedpathtrackingalgorithmforathreelayeredspatialGreen’Sfunctionsisproposed，itcanac

7、curatelylocateallthemodesoftwO—dimensionalandthreedimensionalspectralGreen’SfunctionsBecauseofthisalgorithm，thehybridmethodoftheDCIMandSDPcanaccuratelyandefficientlycalculatethethreelayeredspatialGreen’Sfunctions(2)Astot

8、hesituationwhenthedistancebetweensourcefielddistanceisverysmall(ultranearfieldregion)，byusinginterpolationscheme，wehaveovercometheinaccuracycausedbytheDCIM，andwecancombinetheinterpolationscheme，theDCIMandSDPtoquicklyanda

9、ccuratelycalculatespatialGreen’Sfunctionsunderthegeneralsource_fielddistancesituation(3)TheproposedfastmethodsforspatialGreen’SfunctionsareappliedtoMoMbasedonthemixedpotentialintegralequationWeusehavecalculatedtheEMscatt