79 research outputs found
Self-frequency blue-shift of dissipative solitons in silicon based waveguides
We analyze the dynamics of dissipative solitons in silicon on insulator
waveguides embedded in a gain medium. The optical propagation is modeled
through a cubic Ginzburg-Landau equation for the field envelope coupled with an
ordinary differential equation accounting for the generation of free carriers
owing to two-photon absorption. Our numerical simulations clearly indicate that
dissipative solitons accelerate due to the carrier-induced index change and
experience a considerable blue-shift, which is mainly hampered by the gain
dispersion of the active material. Numerical results are fully explained by
analytical predictions based on soliton perturbation theory
Free-carrier driven spatio-temporal dynamics in amplifying silicon waveguides
We theoretically investigate the free-carrier induced spatio-temporal
dynamics of continuous waves in silicon waveguides embedded in an amplifying
medium. Optical propagation is governed by a cubic Ginzburg-Landau equation
coupled with an ordinary differential equation accounting for the free-carrier
dynamics. We find that, owing to free-carrier dispersion, countinuous waves are
modulationally unstable in both anomalous and normal dispersion regimes and
chaotically generate unstable accelerating pulses.Comment: 5 pages, 4 figure
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