Observation of discrete quadratic surface solitons

Universität Paderborn, Paderborn, North Rhine-Westphalia, Germany
Optics Express (Impact Factor: 3.49). 07/2006; 14(12):5508-16. DOI: 10.1364/OE.14.005508
Source: PubMed


We report the first observation of discrete quadratic surface solitons in self-focusing and defocusing periodically poled lithium niobate waveguide arrays. By operating on either side of the phase-matching condition and using the cascading nonlinearity, both in-phase and staggered discrete surface solitons were observed. This represents the first experimental demonstration of staggered/gap surface solitons at the interface of a semi-infinite nonlinear lattice. The experimental results were found to be in good agreement with theory.

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Available from: Konstantinos G Makris, Oct 08, 2014
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    • "However, almost all studies on Bessel lattice solitons focus on the two-dimensional cases because that Bessel beams are created naturally two-dimensional. So far, surface solitons are only observed in waveguide arrays[14] [16] [17]. Thus, exploring other settings for implementing surface solitons and investigating the dynamics of such solitons are important issues. "
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    ABSTRACT: We investigate the existence, stability and propagation dynamics of spatial solitons supported by an interface separating 1D different-order Bessel optical potentials. The profiles of surface solitons are determined by the order and the modulation depth of Bessel potential. Influences of the order and modulation depth of Bessel potential besides the interface on the stability of surface solitons are discussed. We show that the surface solitons supported by present model have a wide stability region in their existence domain even for higher-order Bessel potential or the difference of the order of Bessel function on the opposite side of the interface is relatively large (e.g. nl = 2, nr = 5). The experimental realization of the model we discussed is also proposed. Numerical simulation of the propagation of surface solitons verifies our stability analysis. This study may enrich the concept of optical surface soliton.
    Preview · Article · Nov 2007 · Proceedings of SPIE - The International Society for Optical Engineering
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    • "In the last few years nonlinear wave propagation in discrete systems, such as arrays of evanescently coupled waveguides, has been systematically investigated [1]. Recently spatial solitons traveling along the interface between continuous and discrete Kerr [2], quadratic [3] and photorefractive [4] media were reported for the first time, verifying the theoretical predictions. For the case of continuous-discrete boundary in Kerr medium it was predicted that these interface solitons should exhibit a power threshold for their existence [5]. "
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    ABSTRACT: We demonstrate the existence of higher-order solitons occurring at an interface separating two one-dimensional (1D) Bessel optical lattices with different orders or modulation depths in a defocusing medium. We show that, in contrast to homogeneous waveguides where higher-order solitons are always unstable, the Bessel lattices with an interface support branches of higher-order structures bifurcating from the corresponding linear modes. The profiles of solitons depend remarkably on the lattice parameters and the stability can be enhanced by increasing the lattice depth and selecting higher-order lattices. We also reveal that the interface model with defocusing saturable Kerr nonlinearity can support stable multi-peaked solitons. The uncovered phenomena may open a new way for soliton control and manipulation.
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