We study optical rogue waves (RWs) in a nonlinear graded-index waveguide with variable coefficients. An exact RW solution on Gaussian background beam is presented, in contrast to the previous studies about RWs, on plane wave background. It is shown that the characteristics of RWs are maintained on Gaussian background beam and that the beam’s width is even a bit smaller than the RWs scale. These results may raise the possibility of related experiments and potential applications in nonlinear optics.
© 2014 Optical Society of America
Original Manuscript: December 12, 2013
Manuscript Accepted: January 13, 2014
Published: February 14, 2014
Chong Liu, Zhan-Ying Yang, Li-Chen Zhao, Guo-Guo Xin, and Wen-Li Yang, "Optical rogue waves generated on Gaussian background beam," Opt. Lett. 39, 1057-1060 (2014)