傳輸問題遠場算子的性質.pdf

1、華中師范大學碩士學位論文傳輸問題遠場算子的性質姓名：鄧霞申請學位級別：碩士專業(yè)：應用數(shù)學指導教師：嚴國政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