Real-time observation of chaotic and periodic explosions in a mode-locked Tm-doped fiber laser

Abstract

We experimentally characterize the dynamics of soliton explosions in a transient chaotic state between a single and double pulsing state, as well as periodic explosions induced by soliton collisions in a dual wavelength soliton state. These explosions occurring in a thulium-doped linear fiber laser with net anomalous dispersion are characterized with real-time measurements based on a modified time-stretched dispersive Fourier transform method relying on second-harmonic generation.

Real‐Time Investigation of Ultrafast Dynamics through Time‐Stretched Dispersive Fourier Transform in Mode‐Locked Fiber Lasers

“…Occasionally, the TS-DFT technique has been employed for the investigation of mode-locked YDFLs [28,[53][54][55]66,137,152] and TDFLs. [112,143] The TS-DFT technique has rarely been incorporated for mode-locked lasers operating in the visible region and at the wavelength of ≈2.0 μm or above. For the TS-DFT detection system at ≈1.06 μm, SMF-28e was employed as the dispersive medium.…”

Study of dual‐hyperchaos synchronization between an erbium‐doped fiber three‐ring laser and an erbium‐doped fiber dual‐ring laser, and their applications to dual‐channel encoding

“…Then, we present a decoding scheme, passed through the two channels, the signals ( E bt + S b ) and ( E ct + S c ) subtract two signals E br and E cr from two laser rings br and cr, this results in decoding with realization of the following signals: ( E bt + S b ) ‐ E br and ( E ct + S c )‐ E cr . Our synchronization system are presented by the following normalized rate equations [2, 3, 8]: $$$$\begin{equation}\frac{d}{{dt}}{E_{at}} = - {k_{at}}\left( {{E_{at}} + {\eta _0}{E_{bt}}} \right) + {g_{at}}{E_{at}}{D_{at}},\end{equation}$$$$ $$$$\begin{equation}\frac{d}{{dt}}{D_{at}} = - \left( {1 + {I_{pat}} + E_{at}^2} \right){D_{at}} + {I_{pat}} - 1,\end{equation}$$$$ $$$$\begin{equation}\frac{d}{{dt}}{E_{bt}} = - {k_{bt}}\left( {{E_{bt}} - {\eta _0}{E_{at}} + {\eta _0}{E_{ct}}} \right) + {g_{bt}}{E_{bt}}{D_{bt}},\end{equation}$$$$ …”

“…It is thus important to study the creation of HC laser encoding systems. In addition, fiber lasers have slow relaxation and irregular properties, including chaos and random oscillations [2,3]. We reported an HC erbium-doped fiber three-ring laser (EDFTRL) [2].…”

“…Then, we present a decoding scheme, passed through the two channels, the signals (E bt +S b ) and (E ct +S c ) subtract two signals E br and E cr from two laser rings br and cr, this results in decoding with realization of the following signals: (E bt +S b ) -E br and (E ct +S c )-E cr . Our synchronization system are presented by the following normalized rate equations [2,3,8]: Here, the footnotes "t" and "r" represent the transmitter and the receiver, respectively. E a,b,c are the lasing fields of rings A, bt, and ct, where the parameters of ring A are indicated by the footnote "at".…”

“…Introduction: Chaotic signals characterize randomness, unpredictability, and a white noise spectrum [1][2][3]. And chaotic laser synchronizations are widely applied to optic secure communications [4][5][6][7].…”