Acceleration of proton bunches by petawatt chirped radially-polarized laser pulses

Results from theoretical investigations will be presented which show that protons can be accelerated from rest to a few hundred MeV by a 1 PW chirped radially-polarized laser pulse of several hundred femtosecond duration and focused to a waist radius comparable to the radiation wavelength. Single-particle calculations are supported by many-particle and particle-in-cell simulations. Compared with laser acceleration by a similar linearly-polarized pulse, the gained energies are less, but have better beam quality. For a suitable initial phase, a particle bunch gets accelerated by the axial component $E_z$ of the laser pulse and, initially focused by the transverse electric field component $E_r$. Beam diffraction finally sets in due to the particle-particle Coulomb repulsion, after interaction with the pulse ceases to exist.