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Phys. Rev. E 64, 026609 (2001) [8 pages]

Universal photonic tunneling time

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Salvatore Esposito*
Dipartimento di Scienze Fisiche, Università di Napoli “Federico II” and Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cinthia, I-80126 Napoli, Italy

Received 9 February 2001; published 20 July 2001

We consider photonic tunneling through evanescent regions and obtain general analytic expressions for the transit (phase) time τ (in the opaque barrier limit) in order to study the recently proposed “universality” property according to which τ is given by the reciprocal of the photon frequency. We consider different physical phenomena (corresponding to performed experiments) and show that such a property is only an approximation. In particular, we find that the “correction” factor is a constant term for total internal reflection and quarter-wave photonic band gap, while it is frequency dependent in the case of an undersized waveguide and distributed Bragg reflector. The comparison of our predictions with the experimental results shows quite good agreement with observations and reveals the range of applicability of the approximate “universality” property.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.026609
DOI:
10.1103/PhysRevE.64.026609
PACS:
42.50.-p, 03.65.Xp

*Present address: SISSA-ISAS, Via Beirut 4, I-34013 Trieste, Italy. Email address: Salvatore.Esposito@na.infn.it