TY - JOUR
T1 - Dispersive properties of self–induced transparency in two–level media
AU - Ivić, Zoran
AU - Čevizović, Dalibor
AU - Pržulj, Željko
AU - Lazarides, N.
AU - Tsironis, G. P.
N1 - Funding Information:
This work was partially supported by the Ministry of Education, Science and Technological Development of Republic Serbia, Grants No. III - 45010 and OI - 171009, the Ministry of Science and Higher Education of the Russian Federation in the framework of Increase Competitiveness Program of NUST ”MISiS” (No. K2-2019-010), implemented by a governmental decree dated 16th of March 2013, N 211. NL also acknowledges support by General Secretariat for Research and Technology (GSRT) and the Hellenic Foundation for Research and Innovation (HFRI) (Grant no.: 203). The authors greatly acknowledge professor Darko Kapor for critical discussion, helpful suggestions, and proofreading the manuscript.
PY - 2021/2
Y1 - 2021/2
N2 - We focus on self-induced transparency (SIT) in the propagation of a pulse in a dispersive medium. The latter can be an ordinary optical medium or, more interestingly, a quantum metamaterial. In both cases we consider a sequence of two level atoms each with a characteristic resonant frequency ω0. The propagation features are controlled by the ratio of the pulse frequency ω over the dipole resonant frequency, i.e. on the quantity X=ω/ω0. We consider analytically two pulse limits, viz. the sharp line limit as well as the inhomogeneouly broadened case. In the first case we find that for pulse frequencies larger than ω0, i.e. for X>1 the SIT pulse may be fully stopped through absorption by the medium provided its time width exceeds a certain critical value. In the latter case of inhomogeneously broadened medium we find no such frequency restrictions provided the pulse is wide enough. As a result an SIT pulse can be arbitrarily arrested by the absorbing medium. This dispersion-induced pulse stopping is a manifestation of the quantum nature of the medium and of possible use in metamaterial applications.
AB - We focus on self-induced transparency (SIT) in the propagation of a pulse in a dispersive medium. The latter can be an ordinary optical medium or, more interestingly, a quantum metamaterial. In both cases we consider a sequence of two level atoms each with a characteristic resonant frequency ω0. The propagation features are controlled by the ratio of the pulse frequency ω over the dipole resonant frequency, i.e. on the quantity X=ω/ω0. We consider analytically two pulse limits, viz. the sharp line limit as well as the inhomogeneouly broadened case. In the first case we find that for pulse frequencies larger than ω0, i.e. for X>1 the SIT pulse may be fully stopped through absorption by the medium provided its time width exceeds a certain critical value. In the latter case of inhomogeneously broadened medium we find no such frequency restrictions provided the pulse is wide enough. As a result an SIT pulse can be arbitrarily arrested by the absorbing medium. This dispersion-induced pulse stopping is a manifestation of the quantum nature of the medium and of possible use in metamaterial applications.
KW - Carrier wave dispersion
KW - Self–induced transparency
KW - Soliton
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U2 - 10.1016/j.chaos.2020.110611
DO - 10.1016/j.chaos.2020.110611
M3 - Article
AN - SCOPUS:85098704714
VL - 143
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
M1 - 110611
ER -