Correction: Multi-GeV electron beam generation via two-stage laser wakefield acceleration

Correction to: Scientific Reports https://doi.org/10.1038/s41598-025-22766-w, published online 27 November 2025

The original online version of the Article contained errors.

The original Article contained errors in Figures 4 and 5, where Figures 4 and 5 were swapped and published with the incorrect legends. The incorrect Figures 4 and 5 and their accompanying incorrect legends are provided below:

Figure 4:

Fig. 4

Comparison of angular distribution (${\theta }_{y} \left(mrad\right)$) vs Energy (GeV), considering first stage LWFA and different injection delays (${-2\lambda }_{p}$ to 8 ${\lambda }_{p}$) during the second stage.

Figure 5:

Fig. 5

Second stage LWFA (2D scan) at optimum injection delay of ${2\lambda }_{p}$, electrons density contours top (a1-a4) and corresponding energy spectra for background electrons bottom (b1-b4) at time $\tau = 11.0\, ps, 13.0\, ps, 15.5\, ps,\; and \;18.0\, ps.$

Furthermore, several equations in the Results and discussions section were incorrectly rendered.

“${E}_{x}$”

now reads:

${E}_{x}$

And

${\lambda }_{p}\text{(?12.6}\mu m)$

now reads:

${\lambda }_{p} {(\approx 12.6}\mu m)$

And

$(\text{?}2000\gamma )$

now reads:

$(\approx 2000\gamma )$

And

$t\_end=10.5ps$

now reads:

${t}_{end}=10.5ps$

Furthermore, author Xinglong Xie was omitted from the Author contributions section. As a result,

“N.A.M.H. and J.Z supervised the project.”

now reads:

“X.X., N.A.M.H., and J.Z. supervised the project.”

Finally, the original PDF version of this Article contained a repeated error, where a notation was incorrectly given as ‘μ m’. The correct notation is ‘μm’.

The original Article has been corrected.