Superfluorescent Rayleigh Scattering from Suspensions of Dielectric Particles

We demonstrate that superfluorescent scattering of light can occur when laser light is incident on a collection of dielectric Rayleigh particles suspended in a viscous medium. Using a linear stability analysis, an expression for the spatiotemporal evolution of the scattered (probe) field is derived. An approximate condition for the progression of the interaction into the nonlinear regime is deduced and it is shown that, in the nonlinear regime, the scattered field intensity shows the characteristic quadratic dependence on particle density expected from a superfluorescent or superradiant process, once the effects of pump depletion are accounted for.

Figure 1

Schematic diagram of the model.

Figure 2

Spatiotemporal evolution of scaled probe intensity $|{\overline{A}}_1(\overline{z},\overline{t}){|}^2$.

Figure 3

Graph of peak scaled probe intensity $|{\overline{A}}_1{|}_{\mathrm{p}\mathrm{e}\mathrm{a}\mathrm{k}}^2$ against $\rho$ when (a) pump field is allowed to evolve self-consistently and (b) when pump field is held constant.