Propagation of Fronts and Information in Dispersive Media
Abstract
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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