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Phys. Rev. Lett. 90, 023901 (2003) [4 pages]

Nature of “Superluminal" Barrier Tunneling

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Herbert G. Winful
Department of Electrical Engineering and Computer Science, University of Michigan, 1301 Beal Avenue, Ann Arbor, Michigan 48109-2122

Received 27 August 2002; published 17 January 2003

We show that the distortionless tunneling of electromagnetic pulses through a barrier is a quasistatic process in which the slowly varying envelope of the incident pulse modulates the amplitude of a standing wave. For pulses longer than the barrier width, the barrier acts as a lumped element with respect to the pulse envelope. The envelopes of the transmitted and reflected fields can adiabatically follow the incident pulse with only a small delay that originates from energy storage. The theory presented here provides a physical explanation of the tunneling process and resolves the mystery of apparent superluminality.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.023901
DOI:
10.1103/PhysRevLett.90.023901
PACS:
42.25.Bs, 03.65.Ta, 42.70.Qs