Generation of multicolor vector Kerr solitons by cross-phase modulation, four-wave mixing, and stimulated Raman scattering

Abstract

We numerically and experimentally show the existence of multicolor vector spatial solitons in a Kerr planar waveguide through the combined effects of cross-phase modulation, four-wave mixing, and stimulated Raman scattering. Mutual spatial guiding of the Raman-Stokes, anti-Stokes, and pump waves is achieved in the high-conversion regime mainly by cross-phase modulation and phase-matched four-wave mixing induced by a power imbalance between Stokes and anti-Stokes components, leading to the generation of a clear-cut sech-shape three-frequency spatial soliton.

Efficient four-wave parametric amplification and spatial soliton generation in transparent isotropic medium with Kerr nonlinearity

“…We note that in bulk Kerr medium, stable one-dimensional spatial solitons have been observed just on several occasions and just under specific operating conditions, where transverse instabilities have been suppressed by self-induced waveguiding through interference [20], periodic azimuthal modulation of ring beams [21], and by making the beams partially incoherent [22]. We also mention that present situation is different from the multicolor soliton regime in planar waveguides, in space of reduced dimensionality [23,24]. Figure 3 shows measured FWOPA output energy versus pump energy E p .…”

Spatio-temporal dynamics of multicolor spatial Kerr solitons

“…Recently, we have demonstrated, both theoretically and experimentally, the spontaneous generation of MSS in a Kerr planar waveguide through the combined effects of XPM, FWM and stimulated Raman scattering (SRS) processes (Fanjoux et al 2006). Mutual spatial guiding of the three waves was achieved mainly by XPM and FWM (Fanjoux et al 2006;Coen et al 2002). This system leads to the generation of a clear-cut sech-shape three-frequency spatial soliton, as reported experimentally (Fanjoux et al 2006).…”

“…Mutual spatial guiding of the three waves was achieved mainly by XPM and FWM (Fanjoux et al 2006;Coen et al 2002). This system leads to the generation of a clear-cut sech-shape three-frequency spatial soliton, as reported experimentally (Fanjoux et al 2006). From a theoretical point of view, this MSS was described with a continuous-wave (cw) model based on three coupled nonlinear Schrödinger equations, for the first Raman Stokes and anti-Stokes order and the pump waves, respectively.…”

“…On the other hand, in cubic transparent media, few studies have demonstrated that MSS can exist through the cross-phase modulation (XPM) and/or the four wave mixing (FWM) processes (Tran et al 1994;Chen and Atai 1994;Lundquist et al 1998;Boucher and Nguyen-Phu 2002). Recently, we have demonstrated, both theoretically and experimentally, the spontaneous generation of MSS in a Kerr planar waveguide through the combined effects of XPM, FWM and stimulated Raman scattering (SRS) processes (Fanjoux et al 2006). Mutual spatial guiding of the three waves was achieved mainly by XPM and FWM (Fanjoux et al 2006;Coen et al 2002).…”

“…In particular, we observed experimentally a strong pedestal in the pump wings that has never been observed numerically with the cw model. The validity domain of the cw model was thus limited by the strong pump depletion regime, when the total energy of the first Raman order beam becomes larger than that of the pump (Fanjoux et al 2006). Actually, the cw model neglects the temporal dimension of the pulses experimentally used and we have to consider the full spatio-temporal dynamics of MSS.…”