Electromagnetic Reciprocity in Antenna Theory

Martin Štumpf, PhD, is an Associate Professor at SIX Research Centre, Brno University of Technology, Brno, The Czech Republic. His research interests include analytical and numerical modeling of wave field phenomena with an emphasis on electromagnetic compatibility and antenna engineering. He is a member of the IEEE and the IEEE Electromagnetic Compatibility Society.

• Introduction xi1 Basic Prerequisites 11.1 Laplace Transformation 31.2 Time Convolution 41.3 Time Correlation 51.4 EMReciprocity Theorems 61.4.1 Reciprocity Theorem of the Time-Convolution Type 81.4.2 Reciprocity Theorem of the Time-Correlation Type 91.4.3 Application of the Reciprocity Theorems to an Unbounded Domain 111.5 Description of the Antenna Configuration 131.5.1 Antenna Power Conservation 141.5.2 Antenna Interface Relations 162 Antenna Uniqueness Theorem 192.1 Problem Description 192.2 Problem Solution 193 Forward-Scattering Theorem in Antenna Theory 233.1 Problem Description 233.2 Problem Solution 234 Antenna Matching Theorems 314.1 Reciprocity Analysis of the Time-Correlation Type 314.1.1 Transmitting State 314.1.2 Receiving State 344.1.3 EquivalentMatching Condition 355 Equivalent Kirchhoff Network Representations of a Receiving Antenna System 415.1 Reciprocity Analysis of the Time-Convolution Type 415.1.1 Equivalent Circuits for Plane-Wave Incidence 415.1.2 Equivalent Circuits for a Known Volume-Current Distribution 456 The Antenna Systemin the Presence of a Scatterer 516.1 Receiving Antenna in the Presence of a Scatterer 516.2 Transmitting Antenna in the Presence of a Scatterer 566.2.1 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 576.2.2 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 597 EMCoupling Between Two Multiport Antenna Systems 657.1 Description of the Problem Configuration 657.2 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 687.3 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 718 Compensation Theorems for the EMCoupling Between Two Multiport Antennas 778.1 Description of the Problem Configuration 778.2 Analysis Based on the Reciprocity Theorem of the Time-Convolution Type 798.2.1 The Change in Scenario (BA) 798.2.2 The Change in Scenario (AB) 828.3 Analysis Based on the Reciprocity Theorem of the Time-Correlation Type 858.3.1 The Change in Scenario (BA) 858.3.2 The Change in Scenario (AB) 889 Compensation Theorems for the EMScattering of an Antenna System 959.1 Description of the Problem Configuration 959.2 Reciprocity Analysis 969.2.1 Compensation Theorems in Terms of Electric Current-excited Sensing EM Fields 999.2.2 Compensation Theorems in Terms of Voltage-Excited Sensing EM Fields 1009.2.3 Power Reciprocity Expressions 101AppendixA Lerch’s Uniqueness Theorem 107A.1 Problem ofMoments 107A.2 Proof of Lerch’s Theorem 108References 111Index 115