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Electromagnetic and Optical Pulse Propagation 1

Spectral Representations in Temporally Dispersive Media

  • Introduction
  • Microscopic Electromagnetics
    • The Microscopic Maxwell–Lorentz Theory
      • Differential Form of the Microscopic Maxwell Equations
      • Integral Form of the Microscopic Maxwell Equations
    • Invariance of the Maxwell–Lorentz Equations
      • Transformation Laws in Special Relativity
      • Transformation of Dynamical Quantities
      • Interdependence of Electric and Magnetic Fields
      • Transformation Relations for Electric and Magnetic Fields
      • Invariance of Maxwell’s Equations
    • Conservation Laws for the Microscopic Electromagnetic Field
      • Conservation of Energy and Poynting’s Theorem
      • Conservation of Linear Momentum
      • Conservation of Angular Momentum
    • Uniqueness of Solution
  • Microscopic Potentials and Radiation
    • The Microscopic Electromagnetic Potentials
      • The Lorenz Condition and the Lorenz Gauge
      • The Coulomb Gauge
      • The Retarded Potentials
    • The Hertz Potential and Elemental Dipole Radiation
      • The Hertz Potential
      • Radiation from an Elemental Hertzian Dipole
    • Li’enard–Wiechert Potentials
      • The Liénard–Wiechert Potentials
      • The Field Produced by a Moving Charged Particle
      • Radiated Energy from a Moving Charged Particle
    • The Radiation Field Produced by a General Dipole Oscillator
      • The Field Vectors Produced by a General Dipole Oscillator
      • The Electric Dipole Approximation
      • The Field Produced by a Monochromatic Dipole
      • Oscillator in the Electric Dipole Approximation
    • The Complex Potential and the Scalar Optical Field
      • The Wave Equation for the Complex Potential
      • Electromagnetic Energy and Momentum Densities
      • A Scalar Representation of the Optical Field
  • Macroscopic Electromagnetics
  • Fundamental Field Equations in a Temporally Dispersive Medium
  • The Angular Spectrum Representation of the Pulsed Radiation Field
  • The Angular Spectrum Representation of Pulsed
  • Electromagnetic and Optical Beam Fields in Temporally Dispersive Media
  • Free Fields in Temporally Dispersive Media
  • A – Helmholtz’ Theorem
  • B – The Dirac Delta Function
  • C – The Fourier–Laplace Transform
  • D – The Effective Local Field
  • E – Magnetic Field Contribution to the Classical Lorentz Model of Resonance Polarization