Self-similar propagation of parabolic pulses in normal-dispersion fiber amplifiers

Self-similar propagation and amplification of parabolic pulses in optical fibers.

Ultrashort pulse propagation in high gain optical fiber amplifiers with normal dispersion is studied by self-similarity analysis of the nonlinear Schrödinger equation with gain. An exact asymptotic solution is found, corresponding to a linearly chirped parabolic pulse which propagates self-similarly subject to simple scaling rules. The solution has been confirmed by numerical simulations and ex...

Modeling Parabolic Pulse Formation in Mode-Locked Laser Cavities

Self-similarity is a ubiquitous concept in the physical sciences used to explain a wide range of spatialor temporal-structures observed in a broad range of applications and natural phenomena. Indeed, they have been predicted or observed in the context of Raman scattering, spatial soliton fractals, propagation in the normal dispersion regime with strong nonlinearity, optical amplifiers, and mode...

Pulse transition to similaritons in normally dispersive fibre amplifiers

A detailed experimental characterization of the transition process of an initially Gaussian pulse to the asymptotic self-similar parabolic solution in optical fibre amplifiers operating in the normal dispersion regime is performed.

Theory of parabolic pulse propagation in nonlinear dispersion decreasing optical fiber amplifiers

Interactions of chirped and chirp-free similaritons in optical fiber amplifiers.

We obtain exact self-similar solutions to an inhomogeneous nonlinear Schrödinger equation, describing propagation of optical pulses in fiber amplifiers with distributed dispersion and gain. We show that there exists a one-to-one correspondence between such self-similar waves and solitons of the standard, homogeneous, nonlinear Schrödinger equation if a certain compatibility condition is satisfi...