Coupled-Oscillator Based Active-Array Antennas

Contents

Foreword

Preface

Acknowledgments

Authors

PART I: THEORY AND ANALYSIS

Chapter 1 Introduction—Oscillators and Synchronization

1.1    Early Work in Mathematical Biology and Electronic Circuits

1.2    van der Pol’s Model

1.3    Injection Locking (Adler’s Formalism) and Its Spectra (Locked and Unlocked)

1.4    Mutual Injection Locking of Two Oscillators

1.5    Conclusion

Chapter 2 Coupled-Oscillator Arrays—Basic Analytical Description and Operating Principles

2.1    Fundamental Equations

2.2    Discrete Model Solution (Linearization and Laplace Transformation)

2.3    Steady-State Solution

2.4    Stability of the Phase Solution in the Full Nonlinear Formulation

2.5    External Injection Locking

2.6    Generalization to Planar Arrays

2.7    Coupling Networks

2.8    Conclusion

Chapter 3 The Continuum Model for Linear Arrays

3.1    The Linear Array without External Injection

3.2    The Linear Array with External Injection

3.3    Beam-Steering via End Detuning

3.4    Beam-Steering via End Injection

3.5    Conclusion

Chapter 4 The Continuum Model for Planar Arrays

4.1    Cartesian Coupling in the Continuum Model without External Injection

4.2    Cartesian Coupling in the Continuum Model with External Injection

4.3    Non-Cartesian Coupling Topologies

4.4    Conclusion

Chapter 5 Causality and Coupling Delay

5.1    Coupling Delay

5.2    The Discrete Model with Coupling Delay

5.3    The Continuum Model with Coupling Delay

5.4    Beam Steering in the Continuum Model with Coupling Delay ...