Abstract
We present a numerical study of the evolution dynamics of "optical rogue waves", statistically-rare extreme red-shifted soliton pulses arising from supercontinuum generation in photonic crystal fiber [D. R. Solli, et al. Nature 450, 1054-1058 (2007)]. Our specific aim is to use nonlinear Schrödinger equation simulations to identify ways in which the rogue wave dynamics can be actively controlled, and we demonstrate that rogue wave generation can be enhanced by an order of magnitude through a small modulation across the input pulse envelope and effectively suppressed through the use of a sliding frequency filter.
Highlights
Since its first observation by Ranka et al in 2000 [1], supercontinuum (SC) generation in photonic crystal fiber has been the subject of extensive research [2,3,4,5,6]
Highly significant experiments have recently been reported by Solli et al where a novel wavelength-to-time detection technique has allowed the direct characterization of the shot-to-shot statistics of a SC generated with picosecond pulses [15]. This regime of SC generation is well-known to exhibit fluctuations in the positions of Raman solitons on the SC long wavelength edge [6], Solli et al have shown that these fluctuations contain a small number of statistically-rare “rogue” events associated with an enhanced redshift and a greatly increased intensity. Because these experiments were performed in a regime where modulation instability (MI) plays a key role in the dynamics, it has been possible to propose an important correspondence with the hydrodynamic rogue waves of oceanic infamy [16], whose origin has been discussed in terms of MI or, as it usually referred to in hydrodynamics, the Benjamin-Feir instability [17,18,19]
By performing multiple simulations in the presence of noise, we examine the effect of input pulse modulation and spectral filtering on the SC generation dynamics, and we show that modifying the rogue wave generation process should be possible using readily-available experimental techniques
Summary
Since its first observation by Ranka et al in 2000 [1], supercontinuum (SC) generation in photonic crystal fiber has been the subject of extensive research [2,3,4,5,6]. Highly significant experiments have recently been reported by Solli et al where a novel wavelength-to-time detection technique has allowed the direct characterization of the shot-to-shot statistics of a SC generated with picosecond pulses [15] This regime of SC generation is well-known to exhibit fluctuations in the positions of Raman solitons on the SC long wavelength edge [6], Solli et al have shown that these fluctuations contain a small number of statistically-rare “rogue” events associated with an enhanced redshift and a greatly increased intensity. We demonstrate that rogue wave generation can be enhanced by an order of magnitude through a small modulation across the input pulse envelope and effectively suppressed through the use of a sliding frequency filter
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