Electromagnetic Reciprocity in Antenna Theory

124 Pages·2017·8.17 MB·English

by  Martin Stumpf

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ElectromagneticReciprocityinAntennaTheory
FM Date:October25,2017 Time:4:51pm
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Electromagnetic Reciprocity in Antenna
Theory
MartinSˇtumpf
FM Date:October25,2017 Time:4:51pm
Copyright@2018byTheInstituteofElectricalandElectronicsEngineers,Inc.Allrightsreserved.
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DedicatedtoH.A.LorentzChairEmeritusProfessorAdrianusT.deHoop
ontheoccasionofhis90thbirthday
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MuchoftheresearchworkincludedinthisbookwassponsoredbytheCzech
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vii
Contents
Introduction xi
1 BasicPrerequisites 1
1.1 LaplaceTransformation 3
1.2 TimeConvolution 4
1.3 TimeCorrelation 5
1.4 EMReciprocityTheorems 6
1.4.1 ReciprocityTheoremoftheTime-ConvolutionType 8
1.4.2 ReciprocityTheoremoftheTime-CorrelationType 9
1.4.3 ApplicationoftheReciprocityTheoremstoanUnbounded
Domain 11
1.5 DescriptionoftheAntennaConfiguration 13
1.5.1 AntennaPowerConservation 14
1.5.2 AntennaInterfaceRelations 16
2 AntennaUniquenessTheorem 19
2.1 ProblemDescription 19
2.2 ProblemSolution 19
3 Forward-ScatteringTheoreminAntennaTheory 23
3.1 ProblemDescription 23
3.2 ProblemSolution 23
4 AntennaMatchingTheorems 31
4.1 ReciprocityAnalysisoftheTime-CorrelationType 31
4.1.1 TransmittingState 31
4.1.2 ReceivingState 34
4.1.3 EquivalentMatchingCondition 35
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viii
5 EquivalentKirchhoffNetworkRepresentationsofaReceiving
AntennaSystem 41
5.1 ReciprocityAnalysisoftheTime-ConvolutionType 41
5.1.1 EquivalentCircuitsforPlane-WaveIncidence 41
5.1.2 EquivalentCircuitsforaKnownVolume-CurrentDistribution 45
6 TheAntennaSysteminthePresenceofaScatterer 51
6.1 ReceivingAntennainthePresenceofaScatterer 51
6.2 TransmittingAntennainthePresenceofaScatterer 56
6.2.1 AnalysisBasedontheReciprocityTheoremoftheTime-Convolution
Type 57
6.2.2 AnalysisBasedontheReciprocityTheoremoftheTime-Correlation
Type 59
7 EMCouplingBetweenTwoMultiportAntennaSystems 65
7.1 DescriptionoftheProblemConfiguration 65
7.2 AnalysisBasedontheReciprocityTheoremofthe
Time-ConvolutionType 68
7.3 AnalysisBasedontheReciprocityTheoremofthe
Time-CorrelationType 71
8 CompensationTheoremsfortheEMCouplingBetweenTwo
MultiportAntennas 77
8.1 DescriptionoftheProblemConfiguration 77
8.2 AnalysisBasedontheReciprocityTheoremofthe
Time-ConvolutionType 79
8.2.1 TheChangeinScenario(BA) 79
8.2.2 TheChangeinScenario(AB) 82
8.3 AnalysisBasedontheReciprocityTheoremofthe
Time-CorrelationType 85
8.3.1 TheChangeinScenario(BA) 85
8.3.2 TheChangeinScenario(AB) 88
9 CompensationTheoremsfortheEMScatteringofanAntenna
System 95
9.1 DescriptionoftheProblemConfiguration 95
9.2 ReciprocityAnalysis 96
9.2.1 CompensationTheoremsinTermsofElectricCurrent-excited
SensingEMFields 99
9.2.2 CompensationTheoremsinTermsofVoltage-Excited
SensingEMFields 100
9.2.3 PowerReciprocityExpressions 101
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Contents ix
AppendixA Lerch’sUniquenessTheorem 107
A.1 ProblemofMoments 107
A.2 ProofofLerch’sTheorem 108
References 111
Index 115
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