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Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory
On the Hartman effect and velocity of propagating the electromagnetic wave in the tunneling process
N. L. Chuprikov Tomsk State Pedagogical University, Tomsk, 634061, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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, transmission, reflection.
Original article submitted 01/XI/2012 revision submitted – 17/III/2013
Citation:
N. L. Chuprikov, “On the Hartman effect and velocity of propagating the electromagnetic wave in the tunneling process”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 215–222
Linking options:
https://www.mathnet.ru/eng/vsgtu1147 https://www.mathnet.ru/eng/vsgtu/v131/p215
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