On the synergic approach toward the experimental realization of interesting fundamental science within the framework of relativistic flying mirror concept

The relativistic flying parabolic mirror can provide a higher laser intensity than the intensity a current laser system can reach via the optical-focusing scheme. A weakly relativistic laser intensity (1.8 \(\times\) $\times$ 10 \(^{17}\) ${}^{17}$ W/cm \(^2\) ${}^2$ , \(\eta = 0.29\) $\eta =0.29$ ) can be intensified up to a super-strong intensity of \(>\textrm{1}\times\) $>\text{1}\times$ 10 \(^{27}\) ${}^{27}$ W/cm \(^2\) ${}^2$ ( \(\eta \approx 2.2 \times 10^4\) $\eta \approx 2.2\times {10}^4$ ) by the relativistic flying mirror. Such a super-strong field can be applied to study the strong-field quantum electrodynamics in perturbative and non-perturbative regimes. In this review, the analytic derivations on the field strength and distribution obtained by the ideal relativistic flying parabolic mirror have been shown under the 4 \(\pi\) $\pi$ -spherical-focusing approach. The quantum non-linearity parameter is calculated when such a super-strong field collides with the high-energy \(\gamma\) $\gamma$ -photons. The peak quantum non-linearity parameter reaches above 1600 when the 1-GeV \(\gamma\) $\gamma$ -photon collides with a super-strong laser field reflected and focused by the relativistic flying mirror driven by a 10 PW laser pulse.