Curvilinear Motion of Multivortex Laser-Soliton Complexes with Strong and Weak Coupling

Abstract

We reveal the existence of stable dissipative soliton complexes with curvilinear motion of their center of mass. This type of motion results from the field distribution asymmetry and is well pronounced for asymmetric complexes of laser solitons with strong coupling. We present results of numerical simulations of such complexes in a model of wide-aperture lasers or laser amplifiers with saturable gain and absorption. The complex consists of a pair of strongly coupled vortex solitons weakly coupled with a number of other vortex solitons. Similar complexes are expected to exist in different spatially distributed nonlinear dissipative systems, including schemes with discrete dissipative solitons.

From one- to two-dimensional solitons in the Ginzburg-Landau model of lasers with frequency-selective feedback

“…While our primary motivation is provided by the VCSEL-FSF, similar soliton phenomena have been found in systems such as lasers with saturable gain and absorption [28][29][30][31][32] and with a holding beam [33][34][35][36], as well as in VCSEL experiments employing coupled cavities [37] and a built-in saturable absorber [38], see also Ref. [39] for a review.…”

Realization of a Semiconductor-Based Cavity Soliton Laser

“…Furthermore, from a fundamental point of view, the optical phase in an incoherently-pumped CS laser is an extra degree of freedom, which presents new opportunities for fundamental studies, e.g. of dynamics and interaction properties of the individual CS [8]. It will be interesting to compare the effects of phase-sensitive interactions of laser cavity solitons with the wealth of phenomena known for propagating spatial solitons [9].…”

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

“…The constant Q in equations (27) and (28) has been evaluated numerically. For Y = 0.25, c = 1, and δ = 0.4 we have obtained Q ≈ 1.33.…”

“…Transverse optical structures can be either stationary or not. The motion can be induced by the vorticity [28,29], by finite relaxation rates [30][31][32], phase gradient [33], so-called Ising-Bloch transition [34][35][36], by walk-off or convection or by the symmetry breaking due to off-axis feedback [37][38][39][40][41], or even by resonator detuning [42]. This subject is relatively well understood (see overviews on that issue [43][44][45][46][47][48][49][50][51][52][53][54]).…”