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From Maxwell's equations, one can derive a wave equation for a dielectric of the form d2E-n0e0erd2E/dt2-n0sNdE/dt=0 where E is the electric field, t is the time, er is the relative permittivity and sN is the electrical conductivity. Hence by substituting a travelling wave solution into the wave equation derive a dispersion relation of the form k^2 = n0e0erw^2 + in0sNw where k is the wave vector and w is the angular frequency. |
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