Optical rogue-wave patterns in coupled defocusing systems

摘要

We systematically investigate the spatial-temporal patterns of rogue waves in N-component coupled defocusing nonlinear Schrodinger equations where N >= 2. The fundamental rogue-wave solutions are given in a unified form for both focusing and defocusing cases. We establish the quantitative correspondence between modulation instability and rogue-wave patterns, which develops the previously reported inequality relation into an equation correspondence. As an example, we demonstrate phase diagrams for rogue-wave patterns in a two-component coupled system, based on the complete classification of their spatial-temporal structures. The phase diagrams enable us to predict various rogue-wave patterns, such as the ones with a four-petaled structure in both components. These results are meaningful for controlling the rogue-wave excitations in two orthogonal polarization optical fibers.

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