Description
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
