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Due to a mistake in setting up the transverse velocity of the beam in the particle-in-cell (PIC) simulations, the initial emittance was set too small by a factor of the beam's relativistic γ. This lead to the calculated emittance growth in figure 7(b) being too large. A corrected version of figure 7(b) is provided below. The emittance growth due to the longitudinal aberration in PIC simulations is now seen to be more in line with the results from particle tracking.
Figure 7. Comparison of the emittance growth predicted from particle tracking through a thin lens including a longitudinal aberration with particle-in-cell simulation results. The solid lines show least-squares fits to quadratic and linear functions respectively.
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Acknowledgments
Thanks to Y Wei of the University of Liverpool for discussions that led to the identification of the emittance error in the PIC simulations.
In the original manuscript a concept for a laser-ionized gas jet plasma source using axicon focusing was described without acknowledging Professor B Hidding of the University of Strathclyde as its source. The authors would now like to recognize that contribution.