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Article title
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Abstracts
In this paper we analyzed the following model: a thin slab with Kerr nonlinearity placed between two semi-infinite samples of linear and nonmagnetic materials. A general relation between the bidirectional group delay and the dwell time is derived for the thin slab. It is shown that the group delay is equal to the dwell time plus a self-interference delay. Particular attention is given to solving the Helmholtz equation for this case. Detailed and rigorous treatment revealed that the solutions of the Helmholtz equation are given via elliptic functions of the first kind. The boundary conditions at the interfaces are determined precisely. Finally, we provide an overall procedure for numerical calculation of the dwell times.
Discipline
- 03.65.Xp: Tunneling, traversal time, quantum Zeno dynamics
- 42.25.Bs: Wave propagation, transmission and absorption[see also 41.20.Jb—in electromagnetism; for propagation in atmosphere, see 42.68.Ay; see also 52.40.Db Electromagnetic (nonlaser) radiation interactions with plasma and 52.38-r Laser-plasma interactions—in plasma physics]
- 42.65.Hw: Phase conjugation; photorefractive and Kerr effects
Journal
Year
Volume
Issue
Pages
987-992
Physical description
Dates
published
2007-11
received
2007-09-03
Contributors
author
- School of Electrical Engineering, University of Belgrade, Belgrade, Serbia
author
- School of Electrical Engineering, University of Belgrade, Belgrade, Serbia
author
- Institute of Physics, Belgrade, Serbia
author
- School of Electronic and Electrical Engineering, University of Leeds, Leeds, UK
author
- School of Electronic and Electrical Engineering, University of Leeds, Leeds, UK
References
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- 12. W. Chen, D.L. Mills, Phys. Rev. B, 35, 524, 1987
- 13. H.G. Winful, Phys. Rev. Lett., 91, 260401, 2003
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv112n542kz