復雜電磁問題的快速分析和軟件實現(xiàn).pdf

1、南京理工大學博士學位論文復雜電磁問題的快速分析和軟件實現(xiàn)姓名：丁大志申請學位級別：博士專業(yè)：電磁場與微波技術指導教師：陳如山20061201南京理工大學博士學位論文復雜電磁問題的快速分析和軟件實現(xiàn)AbstractTheelectromagneticscatteringandradiationof3Dcomplextargetshaveatt嬲edmuchmofeattentioninengineeringapplicationsRece

2、ntlyintensiveinvestigationshavebeendonetofmdfastandaccuratenumericalmethodstosolvesuchproblemsThemethodofmoment(MoM)hasbeenwidelyusedtoanalysisthescatteringandradiationproblemsHowevertheconventionalMoMrequiresadiscrctiza

3、tionoftypicallytenpcxwavelengthwhichgeneratesalargenumberofunknownsinhandlinglarge—scaleproblemsforadesiredaccuracyTherearethreewaystoattacksuchatroubleinMoMThefirstwayistodevelopsomefastalgorithms，forexample，theconjugat

4、egradientfastFouriertransform(CGFFl)andthemultilevelfastmultipolemethod(MLF加叼，toaeeelem：tethemalrixvegtormultiplyThesecondwayistofmdsomenewbasisfunctionsincludinghighorderbasisfunctionsThelastwayistostudytheefficientiter

5、ativespc燃UngalgorithmstoreducetheconditionnumberoftheoperatorequationsThisdissertationisfocusonthelatertwoapproachesandtheircombination謝也theIvlLFMMandCGFFr111emaincontributioninclude：1Detailedworkhasbeendoneforthenumeric

6、alimplementationofMoMtosolvepracticalproblemsWehavestudiedtheextractionofthesingularitiesandnearsingularitiesintheelementsofiml弛dancematrixwithdifferembasefunctionsincludingRWGandcurveRWGbasefunctionsandanalyzedtheantenn

7、atodemonstrationtheaccuracyofthemethod2n玲innerouterFlexibleGeneralizedMinimumResidualalgorithm(FOMP①S)andlooseGMRESalgorithmcombined、)l，imFFlrtechniqueareusedtoacceleratetheiterationwhenanalyzingthearbitrarydielectricbod

8、ywithlargepermittivityFurthermoretheFGMRESFFTalgorithmisappliedfortheanalysisofscatteringandradimionbythecavitybackedpatchantennasandarraysbasedonthefiniteelementboundaryintegral(FE—BI)methodAsaresultsignificantconvergen

9、ceimprovementisachieved3Thesparsematrix／canonicalgrid(SMCG)methodisstudiedThegeneralizedproducttypemethodbasedonBiCG(GPBiCGlcombinedwiththeSMCGmethodtoanalyzescatteringofrandomlypositionedandorienteddielectricspheroidsAs