Transient Magnetic Fields

Preface
Contents
1 Introduction
2 The Vector Potential for a Current Step
3 Fields and Field Lines
	3.1 Basic Field Equations
	3.2 Magnetic Field Lines
	3.3 Magnetic Flux
4 Radiated Energy and the Sudden Turn-Off
5 The Fields of a Linear Current Ramp
6 The Stretching and Pinchoff of Loops
7 Non-linear Current Ramps
	7.1 General Ideas
	7.2 Quadratic/Linear (QL) and Linear/Quadratic (LQ) Profiles
	7.3 Exponential Profiles
	7.4 Symmetric Cubic Profiles
	7.5 Sudden Profiles
8 Other Examples of Interacting Fields
	8.1 The Gradual Turndown
	8.2 A Plane Wave Moving Past a Dipole Field
	8.3 Remaining Issues
9 Short-Wave Radiation
	9.1 The Linear Current Ramp with Δr≤2
	9.2 Radiated Flux and Energy for the Linear On-ramp
10 Radiated Energy for General Current Ramps
	10.1 Source Term Approach
	10.2 Poynting Vector Approach
11 Oscillating Currents
	11.1 Overlapping Sheaths
	11.2 Overlap with Δr<2
12 Single-Source Dynamics
	12.1 Force
	12.2 Momentum
13 The Interaction of Two Sources
	13.1 Parallel Dipoles
	13.2 Anti-parallel Dipoles
	13.3 A Bubble from Sphere 1 Passing the Dipole Fieldof Sphere 2
14 Concentric Sources
15 The Boundary-Value Approach
	15.1 The Sudden Turn-On: A Non-monotonic Increase in Surface Field
	15.2 A Limited Monotonic Increase in the Strength of the Surface Field
	15.3 An Unlimited Monotonic Increase of Surface Field
16 The Conducting Core
17 Summary
	17.1 The Model
	17.2 Radiated Flux and Energy
	17.3 The Linear Current Ramp of Finite Duration
	17.4 Stretching and Pinchoff
	17.5 Non-linear Current Ramps
	17.6 Other Examples of Interacting Fields
	17.7 Short-Wave Radiation
	17.8 Radiated Energy
	17.9 Oscillating Currents
	17.10 Dynamics
	17.11 Two Non-concentric Sources
	17.12 Concentric Sources and Total Energy
	17.13 The Boundary-Value Approach and the Conducting Core
18 Epilogue
References
Index