Extreme waves in stimulated backscattering and frequency conversion processes
Authors: Baronio F., Chen SH., Grelu P., Soto-Crespo JM., Wabnitz S.
Autors Affiliation: Ist Nazl Ott CNR, Brescia, Italy; Univ Brescia, Brescia, Italy; Southeast Univ, Nanjing, Peoples R China; Univ Bourgogne Franche Comte, Dijon, France; Consejo Super Invest Cientcas CSIC, Madrid, Spain; Novosibirsk State Univ, Novosibirsk, Russia
Abstract: We present the extreme rogue wave dynamics that originate from the three-wave resonant interaction equations, which describe the transient stimulated scattering processes, in cubic media, and the parametric frequency conversion processes, in phase-matched dispersive quadratic media. Explicit theoretical fundamental and second-order rogue wave solutions are presented and characterized. The link between the existence of rogue wave solutions and the presence of baseband modulation instability is highlighted. We also present numerical simulations that confirm the robustness and possible manifestation of these rogue waves for various parameters and initial conditions.
KeyWords: OPTICAL ROGUE WAVES; SOLITON; INSTABILITY; SCATTERING; PULSES