Volume 108, Number 6, December 2014
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||12 January 2015|
Spatio-temporal hybrid Anderson localization
1 Russian Quantum Center - Skolkovo, Moscow Region, 143025, Russia
2 Institute of Spectroscopy, Russian Academy of Sciences - Troitsk, Moscow Region, 142190, Russia
3 Institut für Angewandte Physik, Friedrich-Schiller-Universität Jena - Max-Wien-Platz 1, 07743 Jena, Germany
Received: 30 October 2014
Accepted: 8 December 2014
We address the localization of spatio-temporal wave packets in disordered waveguide arrays whereby temporal localization is mediated by nonlinearity while strong disorder provides Anderson statistical spatial localization. This combination of two different mechanisms allows localization to occur outside the range of parameters where diffraction, dispersion, and self-action have similar strengths, as required for the formation of standard spatio-temporal solitons. Under suitable conditions, nonlinearity is shown to weakly affect the statistically averaged spatial intensity distributions. In contrast, the temporal duration of the localized wave packets strongly depends on the level of disorder.
PACS: 42.65.Jx – Beam trapping, self-focusing and defocusing; self-phase modulation / 42.25.Dd – Wave propagation in random media
© EPLA, 2014
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