Related Experiment Video
Updated: Jun 19, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Stable chirped black solitary waves in dispersive media withintensity-dependent gain and loss
Abstract:
We examine the stationary propagation of a black solitary wave in a fiber laser or in a fiber transmission system with periodically distributed amplifiers and saturable absorbers that is governed by the Ginzburg-Landau equation. An analytical solution of the chirped black solitary wave to the Ginzburg-Landau equation that includes the nonlinear saturation effect is obtained for what we believe to be the first time. The stability analyses reveal that the stationary propagation of the chirped black solitary wave can be stable when the saturation effect of nonlinear gain or loss is taken into account, whereas the chirped black solitary-wave solution of the Ginzburg-Landau equation that does not include the nonlinear saturation of gain or loss is found to be unstable. The criterion for the stable or unstable propagation of the chirped black solitary wave in the presence of the nonlinear gain or loss saturation is presented. Also, it is shown that two identical chirped black solitary waves launched in parallel will attract each other and may develop into a bound state of two parallel chirped black solitary waves. This is in contrast to the behavior of conventional black solitons of an unperturbed system, in which the two black solitons launched in parallel repel each other and distance themselves during propagation.
Related Concept Videos
Interference and Diffraction
Propagation of Waves
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Standing Waves in a Cavity
Sound Waves: Interference
Partial Differential Equations
Interference and Superposition of Waves
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
