Robust pedestal-free pulse compression in cubic-quintic nonlinear media

Abstract

We consider the evolution of nonlinear optical pulses in cubic-quintic nonlinear media wherein the pulse propagation is governed by the generalized nonlinear Schrödinger equation with exponentially varying dispersion, cubic, and quintic nonlinearities and gain and/or loss. Using a self-similar analysis, we find the chirped bright soliton solutions in the anomalous and normal dispersion regimes. From a stability analysis, we show that the soliton in the anomalous dispersion regime is stable, whereas the soliton in the normal dispersion regime is unstable. Numerical simulation results show that competing cubic-quintic nonlinearities stabilize the chirped soliton pulse propagation against perturbations in the initial soliton pulse parameters. We characterize the quality of the compressed pulse by determining the pedestal energy generated and compression factor when the initial pulse is perturbed from the soliton solutions. Finally, we study the possibility of rapid compression of Townes solitons by the collapse phenomenon and the exponentially decreasing dispersion. We find that the collapse could be postponed if the dispersion increases exponentially.

High Degree Picosecond Pulse Compression in Chalcogenide-Silicon Slot Waveguide Taper

“…We note that such high degree nonlinear compression will be affected by deviations of the input pulse parameters from the ideal values in realization. Although the initial chirp of the input pulse is important in the self-similar pulse compression, it was demonstrated that the self-similar pulse compression will not be significantly affected if deviation of the initial chirp is within ~ ±20% [51]. It has also been shown that the pulse compression is quite tolerant to deviation of the pulse shape from hyperbolic secant profile.…”

“…Even an input Gaussian pulse will not significantly change the pulse compression [52]. However, the pulse compression is rather sensitive to the peak power of the input pulse [51]. Thus in experiments, a variable optical attenuator should be used to adjust the pulse power to optimize the pulse compression.…”

“…8. The ideal chirp length LC = 1/σ is also plotted to estimate the contributions of nonlinearity and dispersion in the self-similar compression [51]. Fig.…”

Envelope self-similar solutions for the nonautonomous and inhomogeneous nonlinear Schrödinger equation

“…Major interest in the NLSE was intrigued by the discovery of solitary wave solutions [1]. Usually, the nonlinear interactions are of cubic nature, but there are systems [2][3][4] which possess cubic, quintic, cubic plus quintic, and other forms of nonlinearities. The current interest is to study the dynamics in these systems, such as the propagation of pulses in optical fibers, waves in plasma, and the evolution of a BEC wave function, etc.…”

Mid-infrared self-similar compression of picosecond pulse in an inversely tapered silicon ridge waveguide

“…Figures 8(a) and 8(b) show the variations of L D2 and L NL along the propagation in the waveguide taper for different cases to evaluate the quality of self-similar propagation. The chirp length L C = 1/σ is plotted to estimate the contributions of dispersion and nonlinearity effects in self-similar compression process [44]. The lengths are plotted in logarithmic scale for better presentation of the differences.…”