Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator

Abstract Soliton molecules (SMs) play a crucial role in nonlinear optical systems, enriching our understanding of nonlinear science through the study of their interaction dynamics. While passively mode-locked fiber lasers offer an efficient platform for generating diverse types of SMs, the complex i...

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Main Authors: Yu Cai, Jintao Fan, Fanchao Meng, Youjian Song, Minglie Hu
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:PhotoniX
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Online Access:https://doi.org/10.1186/s43074-024-00156-1
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author Yu Cai
Jintao Fan
Fanchao Meng
Youjian Song
Minglie Hu
author_facet Yu Cai
Jintao Fan
Fanchao Meng
Youjian Song
Minglie Hu
author_sort Yu Cai
collection DOAJ
description Abstract Soliton molecules (SMs) play a crucial role in nonlinear optical systems, enriching our understanding of nonlinear science through the study of their interaction dynamics. While passively mode-locked fiber lasers offer an efficient platform for generating diverse types of SMs, the complex internal dynamics of the laser often pose challenges in achieving predetermined temporal separations between SMs. Here, we implement a delayed optical feedback technique within a femtosecond optical parametric oscillator, enabling the generation of SMs with precise and controllable temporal separations. A theoretical model, which models the intracavity iterations of the signal with a simplified Ikeda map, is proposed to study the impact of parametric gain, intracavity feedback delay, and cavity length on the internal separations of the SMs. Our experimental results confirm that adjusting the cavity length allows for producing desired temporal separations within SMs. To reveal the evolution dynamics of the SMs, we further develop a rigorous numerical model using the carrier-resolved Forward Maxwell Equation, which is capable of modeling ultra-broadband complex dynamics based on a single equation without relying on the slowly-varying envelope approximation. The numerical model unveils the rich formation dynamics of the SMs at various separations, which confirms the critical role of the gain window provided by the pump. This work opens up new opportunities for the on-demand generation of SMs and provides valuable insights into the complex dynamics in femtosecond optical parametric oscillator systems with optical delayed feedback.
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issn 2662-1991
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spelling doaj-art-1cb77c48045b49fe994f0ebc798b4a0a2025-08-20T02:31:41ZengSpringerOpenPhotoniX2662-19912024-12-015112010.1186/s43074-024-00156-1Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillatorYu Cai0Jintao Fan1Fanchao Meng2Youjian Song3Minglie Hu4Ultrafast Laser Laboratory, State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin UniversityUltrafast Laser Laboratory, College of Precision Instrument and Optoelectronics Engineering, Tianjin UniversityState Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin UniversityUltrafast Laser Laboratory, College of Precision Instrument and Optoelectronics Engineering, Tianjin UniversityUltrafast Laser Laboratory, State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin UniversityAbstract Soliton molecules (SMs) play a crucial role in nonlinear optical systems, enriching our understanding of nonlinear science through the study of their interaction dynamics. While passively mode-locked fiber lasers offer an efficient platform for generating diverse types of SMs, the complex internal dynamics of the laser often pose challenges in achieving predetermined temporal separations between SMs. Here, we implement a delayed optical feedback technique within a femtosecond optical parametric oscillator, enabling the generation of SMs with precise and controllable temporal separations. A theoretical model, which models the intracavity iterations of the signal with a simplified Ikeda map, is proposed to study the impact of parametric gain, intracavity feedback delay, and cavity length on the internal separations of the SMs. Our experimental results confirm that adjusting the cavity length allows for producing desired temporal separations within SMs. To reveal the evolution dynamics of the SMs, we further develop a rigorous numerical model using the carrier-resolved Forward Maxwell Equation, which is capable of modeling ultra-broadband complex dynamics based on a single equation without relying on the slowly-varying envelope approximation. The numerical model unveils the rich formation dynamics of the SMs at various separations, which confirms the critical role of the gain window provided by the pump. This work opens up new opportunities for the on-demand generation of SMs and provides valuable insights into the complex dynamics in femtosecond optical parametric oscillator systems with optical delayed feedback.https://doi.org/10.1186/s43074-024-00156-1Soliton moleculeFemtosecondOptical parametric oscillatorDelayed optical feedback
spellingShingle Yu Cai
Jintao Fan
Fanchao Meng
Youjian Song
Minglie Hu
Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
PhotoniX
Soliton molecule
Femtosecond
Optical parametric oscillator
Delayed optical feedback
title Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
title_full Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
title_fullStr Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
title_full_unstemmed Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
title_short Delayed optical feedback-regulated artificial soliton molecule in a femtosecond optical parametric oscillator
title_sort delayed optical feedback regulated artificial soliton molecule in a femtosecond optical parametric oscillator
topic Soliton molecule
Femtosecond
Optical parametric oscillator
Delayed optical feedback
url https://doi.org/10.1186/s43074-024-00156-1
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AT fanchaomeng delayedopticalfeedbackregulatedartificialsolitonmoleculeinafemtosecondopticalparametricoscillator
AT youjiansong delayedopticalfeedbackregulatedartificialsolitonmoleculeinafemtosecondopticalparametricoscillator
AT mingliehu delayedopticalfeedbackregulatedartificialsolitonmoleculeinafemtosecondopticalparametricoscillator