Manipulating rogue wave triplet in optical waveguides through tapering

• Manipulating rogue wave triplets in GNLSE using Riccati parameter is outlined.
• Symmetric transformations used to scale mutual spacing in a triplet.
• Results presented for sech2sech2-type tapered waveguides.

Taking account of the results of the paper, published in [21] (Chabchoub and Akhmediev, 2013), containing experimental generation of rogue wave triplets in the water tank, we demonstrate a theoretical approach to coherently control the rogue wave triplet dynamics and spectral spread in a tapered index optical waveguide. The relative distance between the successive waves of the triplet, along both longitudinal and transverse axes, can be manipulated by modulating the tapering of the waveguide. This not only significantly enhances the possibility of observing these statistically rare events in the waveguide, but can also controllably amplify the intensity and spectral spread, the desired features for supercontinuum generation. The controlling of real Riccati parameter intrinsically arises from the allowed phase variation of the self-similar solutions of the nonlinear Schrödinger equation.