Localized Waves in Optical Systems with Periodic Dispersion and Nonlinearity Management

Abstract EN

We overview our recent developments in the theory of dispersion-managed (DM) solitons within the context of optical applications.

First, we present a class of localized solutions with a period multiple to that of the standard DM soliton in the nonlinear Schrödinger equation with periodic variations of the dispersion.

In the framework of a reduced ordinary differential equation-based model, we discuss the key features of these structures, such as a smaller energy compared to traditional DM solitons with the same temporal width.

Next, we present new results on dissipative DM solitons, which occur in the context of mode-locked lasers.

By means of numerical simulations and a reduced variational model of the complex Ginzburg-Landau equation, we analyze the influence of the different dissipative processes that take place in a laser.