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The derivation of photon tunneling times presented here follows a different and simpler approach, based on coupled-mode equations for Bragg scattering, which is suited for FBG structures
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The analogy between tunneling of electrons and photons in superlattice structures and closed-form solutions for the tunneling times have been recently reported, in the general case, in P. Pereyra, Phys. Rev. Lett. 84, 1772 (2000). The derivation of photon tunneling times presented here follows a different and simpler approach, based on coupled-mode equations for Bragg scattering, which is suited for FBG structures.
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Among others, the phase time has been shown to be consistent with tunneling time measurements in previous experiments on optical tunneling through photonic bandgaps [11,12].
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40
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33646988533
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note
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0 were observed by G. Nimtz and co-workers, but in microwave transmission experiments.
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41
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1542425549
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0, so that there is no violation of Einstein's causality in our experimental findings. This circumstance follows technically from the analytic properties of spectral transmission t(ω) and has been discussed in Ref. [21]. It should nevertheless be pointed out that the existence and the physical relevance of a "true" discontinuous wave front, invoked to prove that superluminal signal propagation is not possible, has been the subject of controversial debate; for a general discussion on this point we refer the reader to Ref. [4] and to G. Nimtz, Eur. Phys. J. B 7, 523 (1999).
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