Geodesic
On the Hartman effect and velocity of propagating the electromagnetic wave in the tunneling process
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 215-222

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A new approach to the problem of scattering the plane electromagnetic TE wave on a homogeneous dielectric layer is presented, which does not predict, unlike the standard model, the Hartman effect for the tunneling time in the case of scattering the TE wave in the regime of a frustrated total internal refection (FTIR). The basic idea of this approach is that a correct definition of the tunneling velocity and time is possible if only the dynamics of both its subprocesses — transmission and reflection — is known at all stages of the scattering process investigated. It is shown that the Wigner (group) tunneling time was introduced without taking into account of this requirement, and, as a consequence, both this characteristic itself and the associated with it Hartman effect have no relation to transferring the light energy through the layer. The dwell transmission time, which is directly related to it, does not lead to the Hartman effect.
Keywords: group velocity, energy velocity, tunneling time, reflection.
Mots-clés : transmission 
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     author = {N. L. Chuprikov},
     title = {On the {Hartman} effect and velocity of propagating the electromagnetic wave in the tunneling process},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {215--222},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a24/}
}
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N. L. Chuprikov. On the Hartman effect and velocity of propagating the electromagnetic wave in the tunneling process. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2013), pp. 215-222. http://geodesic.mathdoc.fr/item/VSGTU_2013_2_a24/