Numerical study of spatial chirp distortion in quasi-parametric chirped-pulse amplification

Yirui Wang; Jing Wang; Jingui Ma; Peng Yuan; Liejia Qian

doi:10.1017/hpl.2022.10

Journals >High Power Laser Science and Engineering >Volume 10 >Issue 3 >Page 03000e20 > Article

High Power Laser Science and Engineering
Vol. 10, Issue 3, 03000e20 (2022)

Numerical study of spatial chirp distortion in quasi-parametric chirped-pulse amplification

Yirui Wang¹, Jing Wang^1、*, Jingui Ma¹, Peng Yuan¹, and Liejia Qian^1、2

Author Affiliations

¹School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai200240, China

²Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai200240, China

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DOI: 10.1017/hpl.2022.10 Cite this Article Set citation alerts

Yirui Wang, Jing Wang, Jingui Ma, Peng Yuan, Liejia Qian. Numerical study of spatial chirp distortion in quasi-parametric chirped-pulse amplification[J]. High Power Laser Science and Engineering, 2022, 10(3): 03000e20 Copy Citation Text

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Abstract

Optical parametric chirped-pulse amplification is inevitably subject to high-order spatial chirp, particularly under the condition of saturated amplification and a Gaussian pump; this corresponds to an irreversible spatiotemporal distortion and consequently degrades the maximum attainable focused intensity. In this paper, we reveal that such spatial chirp distortion can be significantly mitigated in quasi-parametric chirped-pulse amplification (QPCPA) with idler absorption. Simulation results show that the quality of focused intensity in saturated QPCPA is nearly ideal, with a spatiotemporal Strehl ratio higher than 0.98. As the seed bandwidth increases, the idler absorption spectrum may not be uniform, but the Strehl ratio in QPCPA can be still high enough due to stronger idler absorption.

Keywords

gain saturation quasi-parametric chirped-pulse amplification spatiotemporal distortions

$$\begin{align}\frac{\partial {A}_{\text{i}}}{\partial z}&+\sum \limits_{{\textit{n}}=1}^{\infty}\frac{{\left(-1\right)}^{{\textit{n}}-1}}{n!}{k}^{({\textit{n}})}\frac{\partial^{\textit{n}}{A}_{\text{i}}}{\partial {t}^{\textit{n}}}+\frac{i}{2{k}_{\text{i}}}\frac{\partial^2{A}_{\text{i}}}{\partial {x}^2}+{\rho}_{\text{i}}\frac{\partial {A}_{\text{i}}}{\partial x} \nonumber\\ &\quad =i\frac{\omega_{\text{i}}{d}_{{\text{eff}}}}{n_{\text{ic}}}{A}_{\text{p}}{A}_{\text{s}}^{\ast }{e}^{{\textit{i}}\Delta {\textit{kz}}}-\frac{\alpha_{\text{i}}}{2}{A}_{\text{i}}, \nonumber \\ \frac{\partial {A}_{\text{s}}}{\partial z}&+\sum \limits_{{\textit{n}}=1}^{\infty}\frac{{\left(-1\right)}^{{\textit{n}}-1}}{n!}{k}^{({\textit{n}})}\frac{\partial^{\textit{n}}{A}_{\text{s}}}{\partial {t}^{\textit{n}}}+\frac{i}{2{k}_{\text{s}}}\frac{\partial^2{A}_{\text{s}}}{\partial {x}^2}+{\rho}_{\text{s}}\frac{\partial {A}_{\text{s}}}{\partial x}\nonumber\\ &\quad =i\frac{\omega_{\text{s}}{d}_{{\text{eff}}}}{n_{\text{sc}}}{A}_{\text{p}}{A}_{\text{i}}^{\ast }{e}^{{\textit{i}}\Delta {\textit{kz}}}, \nonumber \\ \frac{\partial {A}_{\text{p}}}{\partial z}&+\sum \limits_{{\textit{n}}=1}^{\infty}\frac{{\left(-1\right)}^{{\textit{n}}-1}}{n!}{k}^{({\textit{n}})}\frac{\partial^{\textit{n}}{A}_{\text{p}}}{\partial {t}^{\textit{n}}}+\frac{i}{2{k}_{\text{p}}}\frac{\partial^2{A}_{\text{p}}}{\partial {x}^2}+{\rho}_{\text{p}}\frac{\partial {A}_{\text{p}}}{\partial x}\nonumber\\ &\quad =i\frac{\omega_{\text{p}}{d}_{{\text{eff}}}}{n_{\text{pc}}}{A}_{\text{s}}{A}_{\text{i}}{e}^{-{\textit{i}}\Delta {\textit{kz}}}.\end{align}$$

((1))

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$$\begin{align}g=\sqrt{g_0^2+\frac{\alpha_{\rm i}^2}{16}-\frac{\Delta {k}^2}{4}}-\frac{\alpha_{\rm i}}{4},\kern1em \mathrm{with}\;{g}_0=\sqrt{\frac{2{\omega}_{\rm s}{\omega}_{\rm i}{d}_{\rm eff}^2{I}_{\rm p0}}{\varepsilon_0{n}_{\rm s}{n}_{\rm i}{n}_{\rm p}{c}^3}},\end{align}$$

((2))

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$$\begin{align}{I}_{\rm s}\left(x,t\right)=\frac{\omega_{\rm s}}{\omega_{\rm p}}{I}_{\rm p}\left(x,t\right).\end{align}$$

((3))

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$$\begin{align} \mathrm{SR}= \frac{\max \left\{{\left|\iint a\left(x,\omega \right)\exp \left(-{ik}_xx\right)\exp \left( i\omega t\right) \textrm{d}x\textrm{d}\omega \right|}^2\right\}}{\max \left\{{\left|\iint \mu {\sum}_{\omega }a\left(x,\omega \right){\sum}_xa\Big(x,\omega \Big)\exp \left(-{ik}_xx\right)\exp \left( i\omega t\right) \textrm{d}x\textrm{d}\omega \right|}^2\right\}},\end{align}$$

((4))