Solitons in Nonlocal Media

LIST OF FIGURES
4.3 Plot of vector soliton trajectory. Angle between vector soliton direction
and z is given by β + ρ, where β is the angle between axis s and z (see
note 2) and ρ = arctank3 from eq. (4.23). Single solitons oscillate sinu-
soidally around this direction, keeping a phase shift equal to π. s1 and
s2 represent single beam energy direction when other beam is lacking.
In this plot beams are launched at the same point, i.e. their positions
are identical in z = 0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
4.4 [Fig. 4.4(a)] plots the oscillation amplitude B = − 1
α 2 tan ∆β
4γ2Ψ (1)
2
αm2
the beam at λ = 633nm versus the peak infrared intensity IIR. Each
curve corresponds to a different red intensity peak Ired: 7Wmm −2 (blue),
48Wmm −2 (red), 89Wmm −2 (black) and 130Wmm −2 (green), this corre-
spondence being valid for all the other subfigures. Fig. [4.4(a)] plots
the infrared oscillation amplitude A = −
tan ∆β
1
α 2 + m2
2γ2Ψ (1)
2
for
(1)
4γ2Ψ 2 . αm2
Fig. [4.4(c)] reports the oscillation period (2π/α) versus the two inten-
sity peaks. Finally, fig. [4.4(d)] shows the propagation angle (in degrees)
of the vector soliton with respect to z, versus the two intensity peaks;
dashed straight lines indicate the single beam walk-off for red (red line)
and infrared beams (blue line), respectively. Intensities used in these
plots correspond to a few milliwatts for waists of 2 ÷ 10µm, typical val-
ues in actual experiments. . . . . . . . . . . . . . . . . . . . . . . . . . . 82
4.5 Fig. 4.5(a) shows beam profiles when both wavevectors k1 and k2 are
normal to the input interface. Fig. 4.5(b) shows the case of collinear
energy propagation directions for the two beams, having kept k1 fixed
and having rotated k2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
4.6 Color-coded acquired intensity profiles for red light in the plane ts (i.e.
after a rotation by δ). Contour maps of the calculated intensity distri-
butions are superimposed (white lines) to the experimental data. (a) A
weak 0.1mW red beam is co-launched with a 1.2mW IR beam; (b) a
0.4mW red beam is injected in the absence of IR; (c) 0.4mW red and
1.2mW IR beams are co-launched and generate a vector soliton. The
simulations were carried out taking effective input coupling efficiency of
40% and 50% for red and IR and initial beam curvatures of radius -130
m (waist in z = −40µm), respectively. . . . . . . . . . . . . . . . . . . . 85
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