Electromagnetic Reciprocity in Antenna Theory (Paperback)

Introduction xi

1 Basic Prerequisites 1

1.1 Laplace Transformation 3

1.2 Time Convolution 4

1.3 Time Correlation 5

1.4 EMReciprocity Theorems 6

1.4.1 Reciprocity Theorem of the Time-Convolution Type 8

1.4.2 Reciprocity Theorem of the Time-Correlation Type 9

1.4.3 Application of the Reciprocity Theorems to an Unbounded Domain 11

1.5 Description of the Antenna Configuration 13

1.5.1 Antenna Power Conservation 14

1.5.2 Antenna Interface Relations 16

2 Antenna Uniqueness Theorem 19

2.1 Problem Description 19

2.2 Problem Solution 19

3 Forward-Scattering Theorem in Antenna Theory 23

3.1 Problem Description 23

3.2 Problem Solution 23

4 Antenna Matching Theorems 31

4.1 Reciprocity Analysis of the Time-Correlation Type 31

4.1.1 Transmitting State 31

4.1.2 Receiving State 34

4.1.3 EquivalentMatching Condition 35

5 Equivalent Kirchhoff Network Representations of a Receiving Antenna System 41

5.1 Reciprocity Analysis of the Time-Convolution Type 41

5.1.1 Equivalent Circuits for Plane-Wave Incidence 41

5.1.2 Equivalent Circuits for a Known Volume-Current Distribution 45

6 The Antenna Systemin the Presence of a Scatterer 51

6.1 Receiving Antenna in the Presence of a Scatterer 51

6.2 Transmitting Antenna in the Presence of a Scatterer 56

6.2.1 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 57

6.2.2 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 59

7 EMCoupling Between Two Multiport Antenna Systems 65

7.1 Description of the Problem Configuration 65

7.2 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 68

7.3 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 71

8 Compensation Theorems for the EMCoupling Between Two Multiport Antennas 77

8.1 Description of the Problem Configuration 77

8.2 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 79

8.2.1 The Change in Scenario (BA) 79

8.2.2 The Change in Scenario (AB) 82

8.3 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 85

8.3.1 The Change in Scenario (BA) 85

8.3.2 The Change in Scenario (AB) 88

9 Compensation Theorems for the EMScattering of an Antenna System 95

9.1 Description of the Problem Configuration 95

9.2 Reciprocity Analysis 96

9.2.1 Compensation Theorems in Terms of Electric Current-excited Sensing EM Fields 99

9.2.2 Compensation Theorems in Terms of Voltage-Excited Sensing EM Fields 100

9.2.3 Power Reciprocity Expressions 101

AppendixA Lerch’s Uniqueness Theorem 107

A.1 Problem ofMoments 107

A.2 Proof of Lerch’s Theorem 108

References 111

Index 115