積分方程快速傅里葉變換方法的研究及應(yīng)用.pdf

1、電子科技大學(xué)碩士學(xué)位論文積分方程快速傅里葉變換方法的研究及應(yīng)用姓名：尹繼亮申請學(xué)位級別：碩士專業(yè)：電磁場與微波技術(shù)指導(dǎo)教師：胡俊20100501AbstractAbstractDuetothestrongdemandforengineeringapplicationtheelectromagneticradiationandscatteringproblemsfor3一DobjectshasbeenafocusforalongtimeA

2、sastrictnumericalmethod，thetraditionalMethodofMoments(MoM)hasbeenwidelyusedtosolvetheelectromagneticradiationandscatteringproblemsBecameofitsllighmemoryrequirementandcomputationalcomplexitytheapplicationsofthetraditional

3、MethodofMomentsarelimitedtosolvelow一丘equ鋤cyandresonanceregimeselectromagneticproblemsInthispaperafastalgorithmillte蓼alequationfastFouriertransform(IEFF，r)ispresentedThealgorithmcangreatlyreducethememoryrequirementandcomp

4、utationalcomplexityfortraditionalMethodofMomentsForthesurfaceintegralequationthecomputationalcomplexityandmemoryrequirementofthealgorithmiso(NL5logN)ando(NL5)；forthevolumeintegralequationandplanarstructures，thecomputatio

5、nalcomplexityandmemoryrequirementofthealgorithmisO(NlogN)andD(Ⅳ)，whereNisthenumberofunknownsFirstlyseverali11te孕alequationclassificationsarebrieflyintroducedAsanintegralequationsolvertheMethodofMomentsisalsointroduced，in

6、cludingthedetailsofthebasicprinciplesandtheconcreterealizationprocessThenthebasicprinciplesandthenumericalimplementationoftheintegralequationfastFouriertransfcIrlmareintroducedTheerrorboundofthealgorithmisassessedandtheh

7、eartofthealgorithm—Green’SfunctioninterpolationisstudiedasakeypointByusingGaussianimerpolationtheaccuracyofthealgorithmisimprovedAndthecomputationaltimeandstorageareducedbyusingthefloatingstenciltopologywhilewithoutsacri

8、ficingtheaccuracySecondlytheIE—FFTisappliedto$1Lrfao宅integralequationforsolvingtheelectromagneticscatteringproblemonarbitraryshapcd3一DPECobjectsandthemajorparametersofthealgorithmareinvestigatedinthisthesisAndtheelectrom