@article{oai:repo.qst.go.jp:00084606,
 author = {Moon Jeong, Tae and Bulanov, Sergey and Valenta, Petr and Korn, Georg and Timur, Esirkepov and Kevin Koga, James and Pirozhkov, Alexander and Masaki, Kando and S. Bulanov, Stepan and Bulanov, Sergey and Timur, Esirkepov and Kevin Koga, James and Pirozhkov, Alexander and Masaki, Kando},
 issue = {5},
 journal = {Physical Review A},
 month = {Dec},
 note = {The relativistic-flying mirror is a well-known plasma optic which further intensifies a reflected laser field through the Lorentz $\gamma$-factor of the mirror. A high-power laser pulse reflected and focused by a relativistic-flying parabolic mirror experiences the double Doppler effect and as a result its wavelength and pulse duration are shortened by a factor of $4\gamma^2$ in the relativistic limit of $\beta\rightarrow 1$. A laser focus travels with a relativistic speed of the mirror. The relativistic-flying motion of the laser focus makes electric and magnetic field distributions of the focus complicated, and the mathematical expressions describing the field distributions of the focus become of fundamental interest. We present analytical expressions describing the field distribution formed by an ideal flying mirror which has a perfect reflectance over the entire surface and wavelength range. The peak field strength of an incident laser pulse with a center wavelength of $\lambda_0$ and a beam radius of $w_0$ is enhanced by a factor of $\gamma^3(w_0/\lambda_0)$ in the relativistic limit. The electron-positron pair production is investigated in the context of invariant fields based on the enhanced electromagnetic field. The pair production rate under the relativistic-flying laser focus is modified by the Lorentz $\gamma$-factor and the beam radius- wavelength ratio $(w_0/\lambda_0)$. We show that the electron-positron pair can be created by colliding two counter-propagating relativistic-flying laser focuses, each of which is formed when a 180 TW laser pulse is reflected by a relativistic-flying parabolic mirror with a $\gamma= 12.2$, in vacuum.},
 title = {Relativistic flying laser focus by a laser-produced parabolic plasma mirror},
 volume = {104},
 year = {2021}
}