5.1 Pulse dispersion The dispersion relation for electromagnetic w...

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5.1 Pulse dispersion The dispersion relation for electromagnetic waves is given by (5.72) = where € is the dielectric constant of the medium through which the wave propagates, For many astrophysical plasmas, the permittivity can be approximated as E = 21-after Wp = Arneel/me is the plasma frequency. Work out the group velocity Ugroup = where #1 and the travel time travel = - d + 2me² DM, C m ew² (5.73) d/c is the light travel time at very high (i.e., optical frequencies), and DM is the dispersion where measure defined as DM = to d neds. (5.74) problem 5.1 note : should read "omega_p^2=4 pi ne e^2/me"; also equation 5.73 is missing a factor of 1/c on the RHS.

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