Rogue wave in ultrafast fiber lasers is a hot research topic of nonlinear optics, which is generally monitored at the fixed cavity positions, despite its dramatic intra-cavity evolution. The shot-to-shot statistical properties change significantly if the chaotic pulse experiences strong changes along the cavity, which is rarely considered in the past. Here, we simulate the dynamic evolution of the rogue wave in the dispersion-managed fiber laser. Attributing to the temporal structure change induced by the dispersion, the rogue wave within the noise-like pulse appears in a limited cavity region while disappears in the rest parts. It is also demonstrated that the dispersion is capable of manipulating rogue waves in the pulse trains outside the cavity. Our results offer insightful views on the properties of chaotic waves in ultrafast lasers.

• Received 22 March 2021
• Revised 12 May 2021
• Accepted 18 May 2021

DOI:https://doi.org/10.1103/PhysRevA.103.063504