Time Delay in Thin Slabs with Kerr-Type Nonlinearity

• Authors: J. Radovanović , V. Milanović , G. Isić , Z. Ikonić , D. Indjin
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

42.25.Bs; 42.65.Hw; 42.6.Tg; 03.65.Xp

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

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 5
• Pages: 987-992

Dates

published

2007-11

received

2007-09-03

Contributors

author

J. Radovanović

• School of Electrical Engineering, University of Belgrade, Belgrade, Serbia

author

V. Milanović

• School of Electrical Engineering, University of Belgrade, Belgrade, Serbia

author

G. Isić

• Institute of Physics, Belgrade, Serbia

author

Z. Ikonić

• School of Electronic and Electrical Engineering, University of Leeds, Leeds, UK

author

D. Indjin

• School of Electronic and Electrical Engineering, University of Leeds, Leeds, UK

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Identifiers

DOI

10.12693/APhysPolA.112.987