The Physics and Mathematics of Electromagnetic Wave Propagation in Cellular Wireless Communication

Table of contents

1. Cover
2. Preface
3. 1 The Mystery of Wave Propagation and Radiation from an Antenna
   1. Summary
   2. 1.1 Historical Overview of Maxwell’s Equations
   3. 1.2 Review of Maxwell–Hertz–Heaviside Equations
   4. 1.3 Development of Wave Equations
   5. 1.4 Methodologies for the Solution of the Wave Equations
   6. 1.5 General Solution of Maxwell’s Equations
   7. 1.6 Power (Correlation) Versus Reciprocity (Convolution)
   8. 1.7 Radiation and Reception Properties of a Point Source Antenna in Frequency and in Time Domain
   9. 1.8 Radiation and Reception Properties of Finite‐Sized Dipole‐Like Structures in Frequency and in Time
   10. 1.9 An Expose on Channel Capacity
   11. 1.10 Conclusion
   12. References
4. 2 Characterization of Radiating Elements Using Electromagnetic Principles in the Frequency Domain
   1. Summary
   2. 2.1 Field Produced by a Hertzian Dipole
   3. 2.2 Concept of Near and Far Fields
   4. 2.3 Field Radiated by a Small Circular Loop
   5. 2.4 Field Produced by a Finite‐Sized Dipole
   6. 2.5 Radiation Field from a Finite‐Sized Dipole Antenna
   7. 2.6 Maximum Power Transfer and Efficiency
   8. 2.7 Radiation Efficiency of Electrically Small Versus Electrically Large Antenna
   9. 2.8 Challenges in Designing a Matched ESA
   10. 2.9 Near‐ and Far‐Field Properties of Antennas Deployed Over Earth
   11. 2.10 Use of Spatial Antenna Diversity
   12. 2.11 Performance of Antennas Operating Over Ground
   13. 2.12 Fields Inside a Dielectric Room and a Conducting Box
   14. 2.13 The Mathematics and Physics of an Antenna Array
   15. 2.14 Does Use of Multiple Antennas Makes Sense?
   16. 2.15 Signal Enhancement Methodology Through Adaptivity on Transmit Instead of MIMO
   17. 2.16 Conclusion
   18. Appendix 2A Where Does the Far Field of an Antenna Really Starts Under Different Environments?
   19. References
5. 3 Mechanism of Wireless Propagation
   1. Summary
   2. 3.1 Introduction
   3. 3.2 Description and Analysis of Measured Data on Propagation Available in the Literature
   4. 3.3 Electromagnetic Analysis of Propagation Path Loss Using a Macro Model
   5. 3.4 Accurate Numerical Evaluation of the Fields Near an Earth–Air Interface
   6. 3.5 Use of the Numerically Accurate Macro Model for Analysis of Okumura et al.’s Measurement Data
   7. 3.6 Visualization of the Propagation Mechanism
   8. 3.7 A Note on the Conventional Propagation Models
   9. 3.8 Refinement of the Macro Model to Take Transmitting Antenna’s Electronic and Mechanical Tilt into Account
   10. 3.9 Refinement of the Data Collection Mechanism and its Interpretation Through the Definition of the Proper Route
   11. 3.10 Lessons Learnt: Possible Elimination of Slow Fading and a Better Way to Deploy Base Station Antennas
   12. 3.11 Cellular Wireless Propagation Occurs Through the Zenneck Wave and not Surface Waves
   13. 3.12 Conclusion
   14. Appendix 3A Sommerfeld Formulation for a Vertical Electric Dipole Radiating Over an Imperfect Ground Plane
   15. Appendix 3B Asymptotic Evaluation of the Integrals by the Method of Steepest Descent
   16. Appendix 3C Asymptotic Evaluation of the Integrals When there Exists a Pole Near the Saddle Point
   17. Appendix 3D Evaluation of Fields Near the Interface
   18. Appendix 3E Properties of a Zenneck Wave
   19. Appendix 3F Properties of a Surface Wave
   20. References
6. 4 Methodologies for Ultrawideband Distortionless Transmission/Reception of Power and Information
   1. Summary
   2. 4.1 Introduction
   3. 4.2 Transient Responses from Differently Sized Dipoles
   4. 4.3 A Travelling Wave Antenna
   5. 4.4 UWB Input Pulse Exciting a Dipole of Different Lengths
   6. 4.5 Time Domain Responses of Some Special Antennas
   7. 4.6 Two Ultrawideband Antennas of Century Bandwidth
   8. 4.7 Experimental Verification of Distortionless Transmission of Ultrawideband Signals
   9. 4.8 Distortionless Transmission and Reception of Ultrawideband Signals Fitting the FCC Mask
   10. 4.9 Simultaneous Transmission of Information and Power in Wireless Antennas
   11. 4.10 Effect of Broadband Matching in Simultaneous Information and Power Transfer
   12. 4.11 Conclusion
   13. References
7. Index
8. End User License Agreement