Resonant Light Scattering by Optical Solitons

We consider the process of light scattering by optical solitons in a planar waveguide with homogeneous and inhomogeneous refractive index cores. We observe resonant reflection (Fano resonances) as well as resonant transmission of light by optical solitons. All resonant effects can be controlled in experiment by changing the soliton intensity.

Figure 1

Schematic structure of the experimental setup. The soliton beam is sent along the $z$ axis, while the probe beam propagates in the $xz$ plane at some angle to the soliton.

Figure 2

Transmission coefficient $T(k_x)$ of the probe beam through the optical soliton with $\beta \approx 1.4743$, ${\beta }^2-n_0^2=0.1$, in the case of a homogeneous core of the planar waveguide with $n_0=1.44$ (solid black line). The dashed and solid gray lines indicate the transmission coefficient for the same system but for partially decoherent beams with $\mu =0.1$ and $\mu =0.5$, respectively.

Figure 3

(a) The effective potential $n_0^2-n^2(x)$ (dashed line) and the soliton profile $C(x)$ (solid line) for the TW configuration, parameter values are: $n_0=1.44$, $n_1=1.4$, $n_2=1.42$, $L=12$, $L_b=4$, $\beta \approx 1.4417$, ${\beta }^2-n_0^2=5.0e-3$. The dotted line shows the soliton profile for the case of a homogeneous core $n(x)\equiv n_0=1.44$ with the same value of the soliton parameter $\beta$; (b) Transmission coefficient $T(k_x)$ for the system without a soliton (dashed line), and with solitons having different parameter values: $\beta \approx 1.4417$, ${\beta }^2-n_0^2=5.0e-3$ (solid black line), $\beta \approx 1.4434$, ${\beta }^2-n_0^2=1.0e-2$ (solid gray line). Vertical line indicates the critical value $\widehat{k}\approx 0.337$ (see the main text for details). Note that $\mu =1$ here (coherent interaction).