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arxiv: physics/0310026 · v1 · submitted 2003-10-06 · ⚛️ physics.class-ph

Propagation of Fronts and Information in Dispersive Media

classification ⚛️ physics.class-ph
keywords dispersivedisturbanceinformationanomalouscarriedconsequentlydiscontinuitydiscontinuitynonanalytic
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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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