Abstract
The production of high-energy ions is a momentous goal of ultraintense laser lights. So far a number of experiments and numerical simulations have been conducted to obtain the scaling of the ion energy to find the optimal experimental condition. Due to the complexity of the relativistic laser-plasma interactions, it is not easy to evaluate the ion energy for different experimental configurations. We propose a statistical approach using the Bayesian inference to obtain a multivariate scaling to predict the maximum proton energy via the target normal sheath acceleration. We derive the scaling for the experimental parameters and also for the hot electron temperature and density observed in the corresponding particle-in-cell simulations. We demonstrate the effectiveness of our approach in the prediction of the maximum proton energy and provide the experimental condition to achieve a proton energy over 100 MeV.
Highlights
The intensity of short pulse lasers has been increased to the level of 1021 W/cm2 after the invention of chirped pulse amplification [1]
We propose a statistical approach using the Bayesian inference to obtain a multivariate scaling to predict the maximum proton energy via the target normal sheath acceleration
We demonstrate the effectiveness of our approach in the prediction of the maximum proton energy and provide the experimental condition to achieve a proton energy over 100 MeV
Summary
The intensity of short pulse lasers has been increased to the level of 1021 W/cm after the invention of chirped pulse amplification [1]. There might be a true function for the maximum proton energy Emax accelerated by TNSA with variables such as laser intensity IL, pulse length τL, spot diameter W , and foil thickness L. If we know such a function, we will have a capability to provide experimental setups to achieve ion energies required in the applications, e.g., 100-MeV protons. In this paper we assemble the previously published data [4,5,6,7,8,9,10,11] for the statistical analysis (see Fig. 2)
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