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References for non-vacuum dispersion relations

  1. Mar 10, 2010 #1
    Hi guys,

    I'm looking for some references where dispersion relations, say for photons, are explicitely written out in a generic medium. In other words, the dispersion relation for particles not propagating in the vacuum is a different one than the standard vacuum one [tex]E^2 = p^2 + m^2[/tex] and I'm looking for papers/books where such relations are written out. Possibly for the photon or for electrons. Do you know any?
  2. jcsd
  3. Mar 10, 2010 #2
    The Jackson EM textbook covers that and is very valuable for most aspects of EM with a bit of a bridge into QM and relativity. If you really want to dig into dispersion and see a full derivation you may want to look at a textbook on Plasma Physics such as Introduction to Plasma Physics: With Space and Laboratory Applications by D. A. Gurnett and A. Bhattacharjee. But that will require a working understanding of the Maxwell Equations and the Fourier Transform.

    But unfortunately there is no generic medium. Molecular/atomic/ionic densities, particle trajectories, temperature and presence of EM fields, for example, all profoundly affect dispersion relations.
    Last edited: Mar 10, 2010
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