Brandon G. Bale

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We propose a novel mode-locked fiber laser design that relies on attracting similariton solutions in fiber amplifiers with normal group-velocity dispersion and strong spectral filtering to compensate increased pulse duration and bandwidth. Stable high-energy, large-bandwidth pulses are obtained that can be linearly compressed, resulting in ultrashort pulses.
We extend the theory of dispersion-managed solitons to dissipative systems with a focus on mode-locked fiber lasers. Dissipative structures exist at high map strengths, leading to the generation of stable, short pulses with high energy. Two types of intramap pulse evolution are observed depending on the net cavity dispersion. These are characterized by a(More)
We report on the demonstration of an all-fiber femtosecond erbium doped fiber laser passively mode-locked using a 45º tilted fiber grating as an in-fiber polarizer in the laser cavity. The laser generates 600 fs pulses with output pulse energies ~1 nJ. Since the 45° tilted grating has a broad polarization response, the laser output has shown a tunabilty in(More)
We consider experimentally and theoretically a refined parameter space in a laser system near the transition to multi-pulse modelocking. Near the transition, the onset of instability is initiated by a Hopf (periodic) bifurcation. As the cavity energy is increased, the band of unstable, oscillatory modes generates a chaotic behavior between single- and(More)
A theoretical model that characterizes the physical process responsible for generating ultrashort, high-energy, mode-locked pulses in a normal-dispersion laser cavity with strong spectral filtering is developed. According to this model, two of the critical physical parameters used to achieve optimal performance are the ratio of the filter bandwidth to the(More)
We report two recent studies dealing with the evolution of parabolic pulses in normally dispersive fibres. On the one hand, the nonlinear reshaping from a Gaussian intensity profile towards the asymptotic parabolic shape is experimentally investigated in a Raman amplifier. On the other hand, the significant impact of the fourth order dispersion on a passive(More)
With existing techniques for mode-locking, the bandwidth of ultrashort pulses from a laser is determined primarily by the spectrum of the gain medium. Lasers with self-similar evolution of the pulse in the gain medium can tolerate strong spectral breathing, which is stabilized by nonlinear attraction to the parabolic self-similar pulse. Here we show that(More)
A theoretical model shows that in the context of a Ginzburg-Landau equation with rapidly varying, mean-zero dispersion, stable and attracting self-similar breathers are formed with parabolic profiles. These self-similar solutions are the final solution state of the system, not a long-time, intermediate asymptotic behavior. A transformation shows the(More)
A theoretical model is developed to quantify the experimental observations of self-similar parabolic pulses in a mode-locked laser cavity with net-zero dispersion. The averaging procedure used shows the pulse amplitude to be governed by the porous media equation that has the well-known Barenblatt similarity (parabolic) solution, suggesting that it is a(More)