 Stationary-soliton fractals in a mode-locked laserZiyi Xie, Yiran Ni, Xiuqi Wu, Tianhao Xian, Junsong Peng and Heping Zeng Chaos, Solitons & Fractals, 2026, vol. 210, issue P2 Abstract: Stationary optical solitons were considered unrelated to fractals, which are instead associated with dynamic nonlinear processes such as soliton splitting or breathing dynamics. Here, we demonstrate the direct engraving of fractal patterns onto stationary solitons in a mode-locked fiber laser using a programmable spectral waveshaper. By applying a Weierstrass function—continuous everywhere but differentiable nowhere—as the spectral filter, we encode a self-similar fractal structure onto the soliton spectrum. The resulting fractal spectra exhibit a clear self-similarity, illustrating a high-fidelity copy to the applied fractal structure, and their fractal dimension is continuously tunable by varying the function parameter. Experimental measurements agree well with numerical simulations. Our work extends the concept of optical fractals to stationary solitons, opening a new route for designing ultrafast lasers with controllable spectral complexity. Keywords: Soliton; Fractal; Mode-locked lasers; Weierstrass function; Spectral programmable ultrashort pulse (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:210:y:2026:i:p2:s0960077926008647 DOI: 10.1016/j.chaos.2026.118723 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.