傳輸問(wèn)題遠(yuǎn)場(chǎng)算子的性質(zhì).pdf

1、華中師范大學(xué)碩士學(xué)位論文傳輸問(wèn)題遠(yuǎn)場(chǎng)算子的性質(zhì)姓名：鄧霞申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：嚴(yán)國(guó)政20050501AbstractInthispaper，Westudyaspecialtypeoftransmissionproblemwhichmodelthescatteringofincidentpla娃ewavesbyapenetrableobstacle，f△亂s艫札s=0lAv自》一0玨一鄯=一∥o?！痙l籌一A器=一了O

2、elk2dIlim。。。r(％；一iku8)=0X∈咒3＼西，k0X∈D，島0；x∈aD：X∈0D，A∈R：Inverseacousticandelectromagneticscatteringtheroyisatypicalinverseproblemofmathematicsandphysicswhichiswidelyusedinareassnchasradar，sonar，geophysicalexplorationFirstl

3、yweproveexistenceanduniquenSeofthedirecttransmissionproblembypotentialtheoryandFedholmtheorein，MoreoverweobtainthatthefarfieldpatternsoftransmissionproblemisdenseinL2(Q)Onthebaseoftheanalysisofthedirecttransmissionproble

4、mwewillstudythecorrespondinginverseproblem，andthestudyofthepropertiesofthefarfieldoperatorforinversetransmissionproblemareessentialfornumericalapproximation，iefromtheknowledgeofthefieldpatternstomodeltheshapeofthescatter