John Lekner 
Theory of Electromagnetic Pulses [EPUB ebook] 

• 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 ????????−???????????????? and ????????+???????????????? 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 ????????0 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+i TM pulses
  
  
  • 3-4 A particular TE+i TM 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+i TM pulse
  
  
  • Appendix B. Chirality measures of electromagnetic fields
  
  


• 4 Angular momentum
  
  
  
  • 4-1 Intrinsic angular momentum, polarization
  
  
  • 4-2 The TE+i TM self-dual pulse
  
  
  • 4-3 Two ‘CP’ self-dual pulses
  
  
  • 4-4 Pulses based wavefunctions with azimuthal dependence
  
  
  • 4-5 Causal TE+i TM pulses
  
  
  • 4-6 Causal self-dual ‘CP’ pulses
  
  
  • Appendix A. Evaluation of ???????????????? for a TE+i TM 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+i TM pulse in its zero-momentum frame
  
  
  • 5-4 A self-dual ‘CP’ pulse in its zero-momentum frame
  
  
  • 5-5 A causal TE+i TM pulse in its zero-momentum frame
  
  

John Lekner is an Emeritus Professor of theoretical physics at Victoria University of Wellington, New Zealand. After an MSc at the University of Auckland and Ph D at the University of Chicago, he taught at the Cavendish Laboratory, Cambridge, where he was also Fellow and tutor in physics at Emmanuel College. He has worked in statistical physics, electromagnetism, quantum theory and theory of fluids. He is the author of 150 papers and of the book Theory of Reflection.