Cavity solitons and localized patterns in a finite-size optical cavity

In appropriate ranges of parameters, laser-driven nonlinear optical cavities can support a wide variety of optical patterns, which could be used to carry information. The intensity peaks appearing in these patterns are called cavity solitons and are individually addressable. Using the Lugiato-Lefever equation to model a perfectly homogeneous cavity, we show that cavity solitons can only be located at discrete points and at a minimal distance from the edges. Other localized states which are attached to the edges are identified. By interpreting these patterns in an information coding frame, the information capacity of this dynamical system is evaluated. The results are explained analytically in terms of the the tail characteristics of the cavity solitons. Finally, the influence of boundaries and of cavity imperfections on cavity solitons are compared.

Figure 1

(a) One-peak CS computed for $I=0.964$, $\theta =1.5$, and $\Gamma =88.86$. $\lambda$ and $\mu$ are the wavelength and attenuation length, respectively, of the oscillatory tail of the CS. (b) Trajectories of one-peak CS.

Figure 2

Examples of multiple CS configurations. Same parameters as in Fig. 1.

Figure 3

Examples of edge states. Same parameters as in Fig. 1.

Figure 4

CS locations as a function of noise amplitude. (a) Uniform white noise on a 512-point grid. (b) Low-pass-filtered noise with cutoff wave number $(2\pi /{\lambda }_{\mathrm{co}})=1.81$. Solid (dotted) lines indicate stable (unstable) solutions.