Beam interactions in one-dimensional saturable waveguide arrays

Abstract

The interaction between two parallel beams in one-dimensional discrete saturable systems has been investigated using lithium niobate nonlinear waveguide arrays. When the beams are separated by one channel and in-phase it is possible to observe soliton fusion at low power levels. This new result is confirmed numerically. By increasing the power, soliton-like propagation of weakly-coupled beams occurs. When the beams are out-of-phase the most interesting result is the existence of oscillations which resemble the recently discovered Tamm oscillations.

Nonlinear wave interactions in patterned Silica and AlGaAs waveguides

“…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.…”

“…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.…”

Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays

“…On the other hand, investigating interactions of such composite structures would also offer relevant insights as was done experimentally, e.g., with simpler states in Ref. [22], or as was done numerically in Ref. [40] and in different (BEC) dark-bright contexts in Refs.…”

“…The theoretical proposal [12] and rapid experimental realization of such (mainly two-dimensional) lattices [13,14] enabled the observation of, among other things, dipole [15], necklace [16], and rotary [17] solitons as well as discrete [18,19] and gap [20] vortices. Recently waveguide arrays in lithium niobate (LiNbO 3 ) crystal, which possess a self-defocusing nonlinearity, have found significant applications in the study of modulation instability [21], beam interactions [22], dark discrete solitons [23], bright gap solitons [24], and dark solitons in higher gaps [25], as well as Rabi oscillations [26].…”

Propagation of light in complex photonic lattices with saturable nonlinearity

“…Kao posledica nadmetanja linearnih i nelinearnih karakteristika optičkih rešetki moguće je uočiti brojne fenomene poput: samozarobljavanja svetlosti i pojave solitona [84,85,86], njihovog kretanja kroz rešetku [87] i međusobne interakcije [88,89], modulacione nestabilnosti [90,91], kao i stvaranja prostornog frekvencijskog češlja i pojave superkontinuuma u 1D fotonskim rešetkama [92].…”