Relativistic plasma mirrors (PM), produced when a high-power laser hits a solid target, can provide very promising compact sources of relativistic electron, ions, and very intense extreme ultraviolet Doppler harmonic light sources. This project aims to show, in silico and using massively parallel pseudo-spectral particle-incell (PIC) simulations, that such PMs can provide a simple and common elegant solution to three long-standing challenges of ultrahigh-intensity (UHI) physics. These three challenges are: (1) Can we produce high-charge compact electron accelerators with high beam quality that will be essential to push forward the horizons of high energy science? (2) Can we produce efficient and very compact high-energy ion accelerators to democratize cancer hadron-therapy? (3) Can we reach extreme light intensities approaching the Schwinger limit of approximately 1029W·cm-2, beyond which light self-focuses in vacuum and electron-positrons pairs are produced?
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