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

Isic, Goran, Milanovic, Vitomir, Radovanovic, Jelena, Ikonic, Zoran, Indjin, Dragan and Paul, Harrison (2008) Time delay in thin slabs with self-focusing Kerr-type nonlinearity. Physical Review A, 77. 033821. ISSN 1050-2947

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Time delays for an intense transverse electric (TE) wave propagating through a Kerr-type nonlinear slab are investigated. The relation between the bidirectional group delay and the dwell time is derived and it is shown that the difference between them can be separated into three terms. The first one is the familiar self interference time, due to the dispersion of the medium surrounding the slab. The other two terms are caused by the nonlinearity and oblique incidence of the TE wave. It is shown that the electric field distribution along the slab may be expressed 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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 American Physical Society. This is an author produced version of a paper subsequently published in Physical Review A. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: delay time, kerr nonlinearity
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Institute of Microwaves and Photonics (Leeds)
Depositing User: Mr Goran Isic
Date Deposited: 30 Jun 2008 10:06
Last Modified: 10 Jun 2014 05:49
Published Version: http://dx.doi.org/10.1103/PhysRevA.77.033821
Status: Published
Publisher: American Physical Society
Refereed: Yes
Identification Number: 10.1103/PhysRevA.77.033821
URI: http://eprints.whiterose.ac.uk/id/eprint/3945

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