• Theory of Electromagnetic Pulses
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Theory of Electromagnetic Pulses

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This book presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular...
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  • 05 July 2018
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This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are five chapters: Fundamentals, Solutions of the wave equation, Electromagnetic pulses, Angular momentum, and Lorentz transformations. Nine appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. The subject matter is restricted to free-space classical electrodynamics, but contact is made with quantum theory in proofs that causal pulses are equivalent to superpositions of photons.
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Price: £28.95
Publisher: Morgan & Claypool Publishers
Imprint: Morgan & Claypool Publishers
Publication Date: 05 July 2018
ISBN: 9781643270210
Format: eBook
BISACs:

SCIENCE / Physics / Electricity, Electricity, electromagnetism and magnetism, SCIENCE / Physics / Electromagnetism, SCIENCE / Physics / Mathematical & Computational, Mathematical physics, Applied physics
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  • 1 Fundamentals
    • 1-1 Introduction
    • 1-2 Universal properties of electromagnetic pulses
    • 1-3 Conservation laws
    • 1-4 Energy-momentum inequality
    • 1-4 Lorentz invariants
    • Appendix A. Radiation of electromagnetic pulses
    • Appendix B. Particle wavepackets
  • 2 Solutions of the wave equation
    • 2-1 Vector and scalar potentials
    • 2-2 General solutions of the wave equation
    • 2-3 Solutions with both 𝑧𝑧−𝑐𝑐𝑐𝑐 and 𝑧𝑧+𝑐𝑐𝑐𝑐 space-time dependence
    • 2-4 Solutions in cylindrical coordinates
    • 2-5 Bateman’s integral solution
    • 2-6 Pulses as superpositions of beams
    • Appendix A. Cylindrical integrals related to spherical sums
    • Appendix B. Two-parameter causal wavefunctions
    • Appendix C. The causal wavefunction 𝜓𝜓0 in ‘spheroidal’ coordinates
  • 3 Electromagnetic pulses
    • 3-1 E and B from solutions of the wave equation
    • 3-2 TE and TM pulses
    • 3-3 Self-dual complex fields, TE+iTM pulses
    • 3-4 A particular TE+iTM pulse
    • 3-5 The Ziolkowski, Hellwarth and Nouchi pulse
    • 3-6 The Feng, Winful and Hellwarth pulse
    • 3-7 Oscillatory pulses
    • 3-8 Causal TE and TM pulses
    • Appendix A. Energy and momentum of a TE+iTM pulse
    • Appendix B. Chirality measures of electromagnetic fields
  • 4 Angular momentum
    • 4-1 Intrinsic angular momentum, polarization
    • 4-2 The TE+iTM self-dual pulse
    • 4-3 Two ‘CP’ self-dual pulses
    • 4-4 Pulses based wavefunctions with azimuthal dependence
    • 4-5 Causal TE+iTM pulses
    • 4-6 Causal self-dual ‘CP’ pulses
    • Appendix A. Evaluation of 𝐽𝐽𝑧𝑧 for a TE+iTM pulse
    • Appendix B. Singular integrals over products of Bessel functions
  • 5 Lorentz transformation of pulses
    • 5-1 Lorentz transformation of scalar pulses
    • 5-2 Transformation of electromagnetic pulses
    • 5-3 A TE+iTM pulse in its zero-momentum frame
    • 5-4 A self-dual ‘CP’ pulse in its zero-momentum frame
    • 5-5 A causal TE+iTM pulse in its zero-momentum frame