title: Nonlinear Talbot effect of rogue waves.
abstract: Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the nonlinear Schrödinger equation (NLSE). Talbot effect (TE) is an image recurrence phenomenon in the diffraction of light waves. We report the nonlinear TE of rogue waves in a cubic medium. It is different from the linear TE, in that the wave propagates in a NL medium and is an eigenmode of NLSE. Periodic rogue waves impinging on a NL medium exhibit recurrent behavior, but only at the TE length and at the half-TE length with a π-phase shift; the fractional TE is absent. The NL TE is the result of the NL interference of the lobes of rogue wave breathers. This interaction is related to the transverse period and intensity of breathers, in that the bigger the period and the higher the intensity, the shorter the TE length.
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Yiqi
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: Science Program, Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar.
authors.forename: Milivoj R
authors.initials: MR
authors.lastname: Belić
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Huaibin
authors.initials: H
authors.lastname: Zheng
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Haixia
authors.initials: H
authors.lastname: Chen
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Changbiao
authors.initials: C
authors.lastname: Li
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Jianping
authors.initials: J
authors.lastname: Song
authors.affiliation: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors.forename: Yanpeng
authors.initials: Y
authors.lastname: Zhang