Electromagnetic Induction Phenomena

1. Introduction.- 1.1 Electrodynamics of Moving Media.- 1.1.1 Minkowski Electrodynamics.- 1.1.2 Covariant Description in Arbitrary Frames of Reference.- 1.1.3 Observation of Moving Electrified Matter.- 1.2 Some Remarks on Electrodynamics of Moving Media and Restricted Relativity.- 1.3 Some Remarks on Quasistatics.- 1.4 "Cerenkov Electrodynamics".- 1.5 Further Remarks on Quasistatics.- 1.6 Summary of Approaches.- 1.7 Outline of Contents.- 2. Principles of Magneto-Electric Interactions.- 2.1 Faraday's Law in the Presence of Moving Media.- 2.1.1 Overview and Basic Remarks.- 2.1.2 Fitzgerald's Superpotential and Its Use in Different Frames of Reference.- 2.1.3 Statement of Practical Problem and Basic Assumptions.- 2.1.4 Solution.- 2.1.5 Discussion.- 2.1.6 Appendix.- 2.2 Linear Induction Devices.- 2.2.1 Definition of Problem.- 2.2.2 General Approach to Solution.- 2.2.3 Exciting Field.- 2.2.4 Reaction Field.- 2.2.5 Two Special Cases.- 2.2.6 Power and Thrust Considerations.- 2.2.7 Discussion.- 2.2.8 Appendix.- 2.3 Unipolar Induction - Basic Principles.- 2.3.1 Physical Explanation.- 2.3.2 Formulation of Problem and Approach to Solution.- 2.3.3 Calculation of Sheet Current.- 2.3.4 The Braking Force.- 2.3.5 Appendix.- 2.4 Unipolar Induction - Extended Array.- 2.4.1 Formulation of Problem.- 2.4.2 Solution.- 2.4.3 Appendix.- 2.5 Optimal Dimensions for Braking Electromagnet.- 2.5.1 Two-Way Infinite Sheet.- 2.5.2 Finite-Width Sheet.- 2.5.3 Calculation of Self-Inductance per Unit Length.- 2.6 Unipolar Induction - Circular Motion.- 2.6.1 Formulation of Problem.- 2.6.2 Solution.- 2.6.3 Numerical Solution.- 2.6.4 Appendix.- 3. Electromagnetic Induction: Steady-State - Stationary Configurations.- 3.1 Eddy Currents in Thin Metal Sheets.- 3.1.1 Formulation of Problem.- 3.1.2 General Approach to Solution.- 3.1.3 Primary Field.- 3.1.4 Secondary Field.- 3.1.5 Calculation of Current Flow.- 3.1.6 Outer Zone, R ? r < ?.- 3.1.7 Inner Zone, 0 ? r ? R.- 3.1.8 Coupling of Zones.- 3.1.9 Calculation of Ampere-Turns.- 3.1.10 Discussion.- 3.1.11 Appendix.- 3.2 Operation of Eddy Current Probe Coil.- 3.2.1 Basic Assumptions and Statement of Problem.- 3.2.2 Primary Field.- 3.2.3 Secondary Field.- 3.2.4 Secondary Axial Field at Coil Center.- 3.2.5 Change of Coil Impedance.- 3.2.6 Discussion.- 3.2.7 Appendix.- 3.3 Proximity Effect Between a Plane Metal Screen and a Rectilinear Current Conductor.- 3.3.1 Formulation of Problem.- 3.3.2 Primary Field.- 3.3.3 Secondary Field.- 3.3.4 Spectral Density of Sheet Current.- 3.3.5 Reaction on Current-Carrying Conductor.- 3.3.6 Transient Phenomena.- 3.3.7 Discussion.- 3.3.8 Appendix.- 3.4 On the Inductance of Printed Spiral Coils.- 3.4.1 Formulation of Problem.- 3.4.2 Solution.- 3.4.3 Discussion.- 3.4.4 Appendix.- 4. Electromagnetic Induction: Transient Phenomena - Stationary Configuration.- 4.1 Surge Impedance of Extended Grounding Rods.- 4.1.1 Mathematical Model and Attendant Field Problem.- 4.1.2 Solution of Field Problem.- 4.1.3 Steady-State Resistance Levels of Grounding Rods.- 4.1.4 Discussion.- 4.1.5 Appendix.- 4.2 Field Transients in Saturable Cores.- 4.2.1 Formulation of Problem and Basic Assumptions.- 4.2.2 Field Solution.- 4.2.3 Velocity of Saturation Front.- 4.2.4 Discussion.- 4.2.5 Appendix.- 4.3 Field Switching in the Presence of Superconducting Material.- 4.3.1 Formulation of Problem and Approach to Solution.- 4.3.2 Field Analysis.- 4.3.3 Concluding Remarks.- 4.3.4 Appendix.- 4.4 Electromechanical Transients in Liquid Metal upon Field Disruption.- 4.4.1 Formulation of the Problem.- 4.4.2 Approach to the Solution.- 4.4.3 Electrical Problem.- 4.4.4 Mechanical Problem.- 4.4.5 Discussion.- 4.4.6 Appendix.- 5. Dynamic Phenomena.- 5.1 Wave Interaction with Moving Layers.- 5.1.1 Dielectric Sheet.- 5.1.2 Conducting Sheet.- 5.1.3 Discussion.- 5.2 Wave Propagation Inside Moving Nonmagnetic Media.- 5.2.1 Basic Assumptions and Statement of Problem.- 5.2.2 Solution of Field Problem.- 5.2.3 Some Kinematic Considerations.- 5.2.4 Concluding Remarks.- 5.2.5 Appendix.- 5.3 Electrodynamics of Shielding: Cylindrical Configuration and Exterior Hertz Wave.- 5.3.1 Formulation and Problem.- 5.3.2 Approach to Solution.- 5.3.3 Primary Field.- 5.3.4 Secondary Field.- 5.3.5 Shielding of Electric Field.- 5.3.6 Shielding of Magnetic Field.- 5.3.7 Concluding Remarks.- 5.3.8 Appendix.- 5.4 Electrodynamics of Shielding: Spherical Configuration and Interior Fitzgerald Wave.- 5.4.1 Definition of Problem.- 5.4.2 Approach to Solution.- 5.4.3 Exciting Field.- 5.4.4 Secondary Field.- 5.4.5 Resultant Field.- 5.4.6 Concluding Remarks.- 5.4.7 Appendix.- References.- Acknowledgement.