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A linearly polarized Laguerre-Gaussian (LP-LG) laser beam with a twist index$l = -1$ has field structure that fundamentally differs from the fieldstructure of a conventional linearly polarized Gaussian beam. Close to the axisof the LP-LG beam, the longitudinal electric and magnetic fields dominate overthe transverse components. This structure offers an attractive opportunity toaccelerate electrons in vacuum. It is shown, using three dimensionalparticle-in-cell simulations, that this scenario can be realized by reflectingan LP-LG laser off a plasma with a sharp density gradient. The simulationsindicate that a 600~TW LP-LG laser beam effectively injects electrons into thebeam during the reflection. The electrons that are injected close to the laseraxis experience a prolonged longitudinal acceleration by the longitudinal laserelectric field. The electrons form distinct monoenergetic bunches with a smalldivergence angle. The energy in the most energetic bunch is 0.29 GeV. The bunchcharge is 6~pC and its duration is $\sim 270$~as. The divergence angle is just\dg{0.57} (10~mrad). By using a linearly polarized rather than a circularlypolarized Laguerre-Gausian beam, our scheme makes it easier to demonstrate theelectron acceleration experimentally at a high-power laser facility.

Electron pulse train accelerated by a linearly polarized Laguerre-Gaussian laser beam