Abstract
We investigate the resonant interaction of two optical pulses of the same group velocity with a pump pulse of different velocity in a weakly dispersive quadratic medium and report on the complementary rogue wave dynamics which are unique to such a parametric three-wave mixing. Analytic rogue wave solutions up to the second order are explicitly presented and their robustness is confirmed by numerical simulations, in spite of the onset of modulation instability activated by quantum noise.
Highlights
There has been a surge of significant research activities on rare optical events [1,2,3,4,5,6] that are the optical equivalent of oceanic rogue waves, the latter being elusive and intrinsically hard to monitor due to the risky observational conditions [7, 8]
We provide general exact analytic solutions for these complementary rogue waves as well as numerical evidences for their robustness in spite of the onset of modulation instability (MI) activated by quantum noise
We studied the resonant interaction of two optical pulses of the same group velocity with a pump pulse of different velocity in a weakly dispersive quadratic medium
Summary
There has been a surge of significant research activities on rare optical events [1,2,3,4,5,6] that are the optical equivalent of oceanic rogue waves, the latter being elusive and intrinsically hard to monitor due to the risky observational conditions [7, 8]. We investigate the nontrivial limiting case of a general three-wave mixing process that was not penetratingly explored before and report on the novel complementary rogue wave dynamics unique to this special parametric process To put it differently, we find that the two rogue wave components having the same group velocity will be spatiotemporally balanced in intensity distribution, independently of what complex patterns the rogue waves will exhibit and whether or not their background heights are equal. We provide general exact analytic solutions for these complementary rogue waves as well as numerical evidences for their robustness in spite of the onset of MI activated by quantum noise
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