Covariant theory of wave dispersion

Part of the Lecture Notes in Physics book series (LNP, volume 735)

The wave equation follows from the Fourier transform of Maxwell’s equations, with the current separated into an induced part, that describes the response of the medium, and an extraneous part, that acts as a source term. General solutions of the inhomogeneous wave equation may be written down in terms of the Green’s function, sometimes also called the photon propagator. The natural wave modes of the medium correspond to poles in the photon propagator. In the absence of a medium, the only waves are transverse waves, with dispersion relation k = 0. In the presence of a medium, there can be a variety of different wave modes. The properties of a natural wave mode include its dispersion relation, its polarization vector and the ratio of electric to total energy in the waves. The energetics of waves in a specific wave mode includes the form of the energy-momentum tensor, and the separation of the energy density and energy flux in the waves into electric, magnetic and nonelectromagnetic components. The energetics also includes the damping of the waves.


Dispersion Relation Dispersion Equation Polarization Vector Rest Frame Lorentz Transformation 
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  1. 1.
    V.B. Berestetskii, L.M. Lifshitz, L.P. Pitaevskii: Relativistic Quantum Theory, (Pergamon Press, Oxford 1971) Google Scholar
  2. 2.
    V.N. Sazonov, V.N. Tsytovich: Radiophys. Quantum Electronics 11, 731 (1968) Google Scholar
  3. 3. D.B. Melrose, R.C. McPhedran: Electromagnetic Processes in Dispersive Media , (Cambridge University Press 1991)Google Scholar

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© Springer-Verlag New York 2008

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