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Vector beam, with a spatial nonuniform polarization distribution, isimportant for many applications due to its unique field characteristics andnovel effects when interacting with matter. Here through three-dimensionalparticle-in-cell simulations, we demonstrate that intense vector beams in theextreme-ultraviolet to x-ray spectral region can be generated by means of highharmonic generation (HHG) in the relativistic regime. The vector features ofthe fundamental laser beam can be transferred to the higher frequency emissioncoherently during the extreme nonlinear HHG dynamics from relativistic plasmamirrors. The vector harmonic beams can be synthesized into attosecond vectorbeams. It is also possible to generate vector harmonic beam carrying orbitalangular momentum. Such bright vortices and vector light sources present newopportunities in various applications such as imaging with high spatial andtemporal resolution, ultrafast magnetic spectroscopy, and particlemanipulation.

Intense high harmonic vector beams from relativistic plasma mirrors