Interaction-Induced Localization of Anomalously Diffracting Nonlinear Waves

Abstract

We study experimentally the interactions between normal solitons and tilted beams in glass waveguide arrays. We find that as a tilted beam, traversing away from a normally propagating soliton, coincides with the self-defocusing regime of the array, it can be refocused and routed back into any of the intermediate sites due to the interaction, as a function of the initial phase difference. Numerically, distinct parameter regimes exhibiting this behavior of the interaction are identified.

Nonlinear wave interactions in patterned Silica and AlGaAs waveguides

“…However, when the tilt angle is in the SD regime of the right beam (Fig. 4(d)), the instability (strong attraction between the beams) is extended for phase differences far beyond a vicinity of 2π multiplies [10]. Remarkably, the SD beam can be routed as a localized DS into any intermediate site, with the appropriate phase difference, while the normally propagating DS is partially annihilated.…”

“…At high input power (Fig. 4(b)), nonlinear instability occurs around multiplies of ∆θ = 2π, which partially diverts the beams into the intermediate sites [8][9][10][11]. As tilts are imposed on the right DS, Figs.…”

“…Evidently, the waveguidearray medium favors nonlinear interactions when one of the beams propagates in the SF regime and the other one in the SD regime, as demonstrated by the extended range of phases exhibiting interaction dynamics. Numerical simulations of the discrete nonlinear Schrodinger equation [18] with multiple excitations reproduce this interaction dynamics in certain parameter regimes [10].…”

“…The most well-known examples of the refractive index change influence are the effect of selffocusing [2] (for 2 > 0), and the generation of solitons, in which this self-focusing counteracts wavepacket broadening caused by linear diffraction [3][4][5]. However, the intensity-dependent refractive index change can also lead to interactions between solitons [6][7][8][9][10][11] and interactions between nonlinear waves and the local structures from which they scatter [12][13][14][15][16][17]. Here, we will deal with these particular scenarios.…”

Light-propagation management in coupled waveguide arrays: Quantitative experimental and theoretical assessment from band structures to functional patterns

“…Iwanow et al [31] reported another GS in the [-π ,π ] range on periodically-poled lithium niobate; agreement with CMT was correct both on the deviation and on the divergence variations, but using a mere adjustable coupling coefficient. Two other articles have reported GSs involving soliton formation [32] or interface modes [30].…”