Bo Yuan , Junsong Peng , Huiyu Kang , Yulin Sheng , Xinyu Hu , Xiuqi Wu , Ying Zhang , Heping Zeng
{"title":"九字形激光的魔鬼阶梯","authors":"Bo Yuan , Junsong Peng , Huiyu Kang , Yulin Sheng , Xinyu Hu , Xiuqi Wu , Ying Zhang , Heping Zeng","doi":"10.1016/j.optlastec.2025.113310","DOIUrl":null,"url":null,"abstract":"<div><div>Breathers in ultrafast lasers serve as a promising platform for investigating fascinating fractal dynamics—the devil’s staircase. This phenomenon has been exclusively investigated in lasers with ring configurations. It is natural to ask whether other cavity configurations can also present such fractal dynamics. The figure-of-nine laser cavity is widely employed in engineering by virtue of its stability. Here we show numerically that devil’s staircase can also be observed in a figure-of-nine laser, thereby validating the universality of the fractal phenomena in ultrafast laser systems. While devil’s staircase was previously obtained by tuning the pump power in a ring laser, the figure-of-nine laser provides a new control parameter to observe the fractal phenomenon—the phase bias. A discrete model based on the generalized nonlinear Schrödinger equation is employed in this work.</div></div>","PeriodicalId":19511,"journal":{"name":"Optics and Laser Technology","volume":"191 ","pages":"Article 113310"},"PeriodicalIF":4.6000,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The devil’s staircase in a figure-of-nine laser\",\"authors\":\"Bo Yuan , Junsong Peng , Huiyu Kang , Yulin Sheng , Xinyu Hu , Xiuqi Wu , Ying Zhang , Heping Zeng\",\"doi\":\"10.1016/j.optlastec.2025.113310\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Breathers in ultrafast lasers serve as a promising platform for investigating fascinating fractal dynamics—the devil’s staircase. This phenomenon has been exclusively investigated in lasers with ring configurations. It is natural to ask whether other cavity configurations can also present such fractal dynamics. The figure-of-nine laser cavity is widely employed in engineering by virtue of its stability. Here we show numerically that devil’s staircase can also be observed in a figure-of-nine laser, thereby validating the universality of the fractal phenomena in ultrafast laser systems. While devil’s staircase was previously obtained by tuning the pump power in a ring laser, the figure-of-nine laser provides a new control parameter to observe the fractal phenomenon—the phase bias. A discrete model based on the generalized nonlinear Schrödinger equation is employed in this work.</div></div>\",\"PeriodicalId\":19511,\"journal\":{\"name\":\"Optics and Laser Technology\",\"volume\":\"191 \",\"pages\":\"Article 113310\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2025-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics and Laser Technology\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0030399225009016\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics and Laser Technology","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030399225009016","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPTICS","Score":null,"Total":0}
Breathers in ultrafast lasers serve as a promising platform for investigating fascinating fractal dynamics—the devil’s staircase. This phenomenon has been exclusively investigated in lasers with ring configurations. It is natural to ask whether other cavity configurations can also present such fractal dynamics. The figure-of-nine laser cavity is widely employed in engineering by virtue of its stability. Here we show numerically that devil’s staircase can also be observed in a figure-of-nine laser, thereby validating the universality of the fractal phenomena in ultrafast laser systems. While devil’s staircase was previously obtained by tuning the pump power in a ring laser, the figure-of-nine laser provides a new control parameter to observe the fractal phenomenon—the phase bias. A discrete model based on the generalized nonlinear Schrödinger equation is employed in this work.
期刊介绍:
Optics & Laser Technology aims to provide a vehicle for the publication of a broad range of high quality research and review papers in those fields of scientific and engineering research appertaining to the development and application of the technology of optics and lasers. Papers describing original work in these areas are submitted to rigorous refereeing prior to acceptance for publication.
The scope of Optics & Laser Technology encompasses, but is not restricted to, the following areas:
•development in all types of lasers
•developments in optoelectronic devices and photonics
•developments in new photonics and optical concepts
•developments in conventional optics, optical instruments and components
•techniques of optical metrology, including interferometry and optical fibre sensors
•LIDAR and other non-contact optical measurement techniques, including optical methods in heat and fluid flow
•applications of lasers to materials processing, optical NDT display (including holography) and optical communication
•research and development in the field of laser safety including studies of hazards resulting from the applications of lasers (laser safety, hazards of laser fume)
•developments in optical computing and optical information processing
•developments in new optical materials
•developments in new optical characterization methods and techniques
•developments in quantum optics
•developments in light assisted micro and nanofabrication methods and techniques
•developments in nanophotonics and biophotonics
•developments in imaging processing and systems