Propagation of Fronts and Information in Dispersive Media

Physics – Classical Physics

Scientific paper

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3 figures

Scientific paper

We present a general proof based on Kramers-Kronig relations that, in a
normal or anomalous dispersive linear medium, any (discontinuitynonanalytic
disturbance) in an electromagnetic pulse can not propagate faster than the
phase velocity, $c$. Consequently the information carried by the discontinuity
(nonanalytical disturbance) can not be transmitted superluminally.

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