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

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.

UDC: 537.87; 621.371; 517.958:537.8; 517.958:535

MSC: Primary 81U05, 35L05; Secondary 81905, 81P05, 81P15, 83C10

Original article submitted 01/XI/2012
revision submitted – 17/III/2013

DOI: 10.14498/vsgtu1147

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