• High Power Laser Science and Engineering
  • Vol. 9, Issue 4, 04000e55 (2021)
Jun Ye, Chenchen Fan, Jiangming Xu*, Hu Xiao, Jinyong Leng, and Pu Zhou*
Author Affiliations
  • College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha410073, China
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    DOI: 10.1017/hpl.2021.43 Cite this Article Set citation alerts
    Jun Ye, Chenchen Fan, Jiangming Xu, Hu Xiao, Jinyong Leng, Pu Zhou. 2-kW-level superfluorescent fiber source with flexible wavelength and linewidth tunable characteristics[J]. High Power Laser Science and Engineering, 2021, 9(4): 04000e55 Copy Citation Text show less

    Abstract

    The superfluorescent fiber source (SFS) with tunable optical spectrum has shown great application potential in the sensing, imaging, and spectral combination. Here, we demonstrate for the first time a 2-kW-level wavelength and linewidth tunable SFS. Based on a flexible filtered SFS seed and three stages of fiber amplifiers, the output power can be scaled from the milliwatt level to about 2 kW, with a wavelength tuning range of 1068–1092 nm and a linewidth tuning range of 2.5–9.7 nm. Moreover, a numerical simulation is conducted based on the generalized nonlinear Schrödinger equation, and the results reveal that the wavelength tuning range is limited by the decrease of seed power and the growth of amplified spontaneous emission, whereas the linewidth tuning range is determined by the gain competition and nonlinear Kerr effects. The developed wavelength and linewidth tunable SFS may be applied to scientific research and industrial processing.
    \begin{align}\frac{\partial \tilde{A}\left(z,\omega \right)}{\partial z}&=\frac{1}{2}\left[g\left(z,\omega \right)-\alpha \left(\omega \right)\right]\tilde{A}\left(z,\omega \right) +i\sum \limits_{n=2}^3\frac{\beta_n}{n!}{\omega}^n\tilde{A}\left(z,\omega \right) \notag\\&\quad + i\gamma \left(\omega \right){\left|\tilde{A}\left(z,\omega \right)\right|}^2\tilde{A}\left(z,\omega \right)+{f}_{\mathrm{SEN}}\left(z,\omega \right),\end{align} ((1))

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    \begin{align}\frac{\mathrm{d}{P}_{\mathrm{p}}(z)}{\mathrm{d}z}&=-{\Gamma}_{\mathrm{p}}\left\{{\sigma}_{\mathrm{a}}\left({\omega}_{\mathrm{p}}\right){N}_0- \left[{\sigma}_{\mathrm{a}}\left({\omega}_{\mathrm{p}}\right)+{\sigma}_{\mathrm{e}}\left({\omega}_{\mathrm{p}}\right)\right]{N}_2\right\}\notag\\&\quad\times{P}_{\mathrm{p}}(z)-{\alpha}_{\mathrm{p}}{P}_{\mathrm{p}}(z),\end{align} ((2))

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    \begin{align}&\frac{N_2(z)}{N_0}=\frac{\Gamma_{\mathrm{p}}}{\mathrm{\hslash}{\omega}_{\mathrm{p}}A}{\sigma}_{\mathrm{a}} \left({\omega}_{\mathrm{p}}\right){P}_{\mathrm{p}} \nonumber \\&\quad +\frac{1}{2\pi {T}_{\mathrm{m}}A}\int \frac{\Gamma_{\mathrm{s}}\left(\omega \right)}{\mathrm{\hslash}\omega }{\sigma}_{\mathrm{a}}\left(\omega \right){\left|\tilde{A}\left(z,\omega \right)\right|}^2\mathrm{d}\omega \nonumber \\&\quad \times \left\{ \frac{\Gamma_{\mathrm{p}}}{\mathrm{\hslash}{\omega}_{\mathrm{p}}A}\left[{\sigma}_{\mathrm{a}}\left({\omega}_{\mathrm{p}}\right) +{\sigma}_{\mathrm{e}}\left({\omega}_{\mathrm{p}}\right)\right]{P}_{\mathrm{p}}+\frac{1}{\tau } \right. \nonumber \\&\quad \left. +\frac{1}{2\pi {T}_{\mathrm{m}}A}\int \frac{\Gamma_{\mathrm{s}}\left(\omega \right)}{\mathrm{\hslash}\omega}\left[{\sigma}_{\mathrm{a}}\left(\omega \right)+{\sigma}_{\mathrm{e}}\left(\omega \right)\right]{\left|\tilde{A}\left(z,\omega \right)\right|}^2\mathrm{d}\omega \right\}^{-1},\end{align} ((3))

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    \begin{align}g\left(z,\omega \right)={\Gamma}_{\mathrm{s}}\left(\omega \right)\left\{{N}_2(z)\left[{\sigma}_{\mathrm{e}}\left(\omega \right)+{\sigma}_{\mathrm{a}}\left(\omega \right)\right]-{N}_0{\sigma}_{\mathrm{a}}\left(\omega \right)\right\}.\end{align} ((4))

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    \begin{align}&\left\langle {f}_{\mathrm{SEN}}\left(z,\omega \right){f}_{\mathrm{SEN}}^{\ast}\left(z^{\prime},\omega^{\prime}\right)\right\rangle\notag\\&\quad{}=\frac{\mathrm{\hslash}{\omega}^3}{\pi {c}^2}n\left(\omega \right)g\left(z,\omega \right){n}_{\mathrm{sp}}\delta \left(z-z^{\prime}\right)\delta \left(\omega -\omega^{\prime}\right),\end{align} ((5))

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    \begin{align}{n}_{\mathrm{sp}}=\frac{1}{\exp \left[\frac{\mathrm{\hslash}\left(\omega +{\omega}_0\right)}{k_{\mathrm{B}}T}\right]-1},\end{align} ((6))

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    \begin{align}{\tilde{A}}_{\mathrm{out}}\left(\omega \right)={\tilde{A}}_{\mathrm{in}}\left(\omega \right)\sqrt{T_{\mathrm{r}}\left(\omega \right)},\end{align} ((7))

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    Jun Ye, Chenchen Fan, Jiangming Xu, Hu Xiao, Jinyong Leng, Pu Zhou. 2-kW-level superfluorescent fiber source with flexible wavelength and linewidth tunable characteristics[J]. High Power Laser Science and Engineering, 2021, 9(4): 04000e55
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