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Time delay in thin slabs with self-focusing Kerr-type nonlinearity

By Goran Isic, Vitomir Milanovic, Jelena Radovanovic, Zoran Ikonic, Dragan Indjin and Harrison Paul

Abstract

Time delays for an intense transverse electric\ud (TE) wave propagating through a Kerr-type nonlinear slab are investigated.\ud The relation between the bidirectional group delay and the dwell time is\ud derived and it is shown that the difference between them can be separated\ud into three terms. The first one is the familiar self interference time, due\ud to the dispersion of the medium surrounding the slab. The other two terms\ud are caused by the nonlinearity and oblique incidence of the TE wave. It is\ud shown that the electric field distribution along the slab may be expressed\ud in terms of Jacobi elliptic functions while the phase difference introduced by the slab is given in terms of incomplete elliptic integrals. The expressions for the field intensity dependent complex reflection and transmission coefficients are derived and the multivalued oscillatory behavior of the delay times for the case of a thin slab is demonstrated

Publisher: American Physical Society
Year: 2008
OAI identifier: oai:eprints.whiterose.ac.uk:3945

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