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In this letter, cutting-edge 3D Particle-In-Cell simulations are used todemonstrate that so-called relativistic plasma mirrors irradiated by PetaWatt(PW) lasers and naturally curved by laser radiation pressure can be used totightly focus Doppler-generated harmonics to extreme intensities between$10^{25}-10^{26}W.cm^{-2}$. Those simulations are then employed to develop andvalidate a general 3D model of harmonic focusing by a curved relativisticplasma mirror. Finally, the insight gained from this model is used to proposenovel all-optical techniques that would further increase the plasma mirrorcurvature with the ultimate goal of approaching the Schwinger limit.

Achieving extreme light intensities using relativistic plasma mirrors