Induced optical spatial solitons

10.1007/s11449-008-3007-4

“…4). In this case, the biexciton density varies with time according to the following law: where the modulus k of the elliptic function and the oscillation period T are defined by the expressions (30) The biexciton density varies periodically with time from Nto N 0 . The graph of the function N(t) lies below the level N = N 0 .…”

“…This circumstance ensures the possibility of exercising the phase control over the process of two-photon nutation of biexcitons. The importance of the problem of phase control in different physical processes was noted in [27][28][29][30][31][32]. By using relationship (13), we can obtain the solution for the biexciton density N(t) with an arbitrary phase difference Θ 0 ; that is, where the oscillation period T and the modulus k of the elliptic functions are represented by the expressions (34)…”

Modulated vortex solitons of four-wave mixing

“…Focusing effect can also be induced by cross-phase modulation (XPM) in a self-defocusing nonlinear medium [10]. In such case, the spatial soliton can form by balancing the spatial diffraction with the XPM-induced focusing [11]. Moreover, when three or more plane waves overlap in the medium, complete destructive interference patterns can give rise to phase singularities or optical vortices [12][13][14][15], which are associated with zeros in the modulated light intensity patterns and can be recognized by specific helical wavefronts.…”

“…The final superposition nonlinear index is is the nonlinear index induced by 3 ′ E . The FWM modulated vortex solitons are created jointly by the effects of the complex patterns induced by the multiple interference waves [13,14] and the cross-Kerr nonlinear dispersions induced by the dressing field [11].…”

Staying focused

“…The former technique, known as electromagnetically induced focusing, was observed in a vapor medium [2] and later with cold atoms [3]. Exact cancellation of diffraction by induced focusing was studied extensively as induced solitons [4], induced waveguides [5,6], and transverse confinement [7,8], but in all these investigations were limited to Gaussian or certain higher-order modes. The low group velocity of each transverse mode is different, resulting in the dispersion of multimode profiles, and selfimaging may occur only at certain distances [9].…”