Abstract
We formulate the set of equations that describe the trajectories of electrons counter-propagating along a radially polarized optical Bessel beam (OBB). It is shown that a significant fraction of the electrons can be transversally trapped by the OBB even in the case of “un-matched” injection. Moreover, these transversally trapped particles (TTP) can be transported without loss over more than half a meter long interaction region.
Highlights
Guiding charged particles in vacuum along significant distances plays a pivotal role in many systems such as radiation sources, accelerators, and electron microscopes
Its value for the pencil beam at the output ðz 1⁄4 LÞ is εn ≃ 53.2 pm. Tracing backwards to those electrons that made it to the end of the optical Bessel beam (OBB) and calculating their emittance at z 1⁄4 L=2, we find that the emittance is εn ≃ 53.5 pm, which clearly shows that the emittance of the transversally trapped particles (TTPs) is conserved for at least the second half meter
These results reveal that, despite space-charge effects, there is no major change in the transverse phase space along most of the last half-meter guidance “tunnel” formed by the OBB [see Figs. 4(a) and 4(c)] and the TTPs are transported without loss (40% of the initial particles are trapped)
Summary
Guiding charged particles in vacuum along significant distances plays a pivotal role in many systems such as radiation sources, accelerators, and electron microscopes. They considered the feasibility of acceleration of individual electrons by Hermit-Gaussian laser beams, and it was shown that the transition from elastic to inelastic scattering occurs for a laser normalized amplitude a 1⁄4 eE0λ0= 2πmc2 > 0.1 and very small incident angle θ ≪ π=4, where e and m represent the charge and the rest mass, respectively, of an electron, c is the speed of light in vacuum, and λ0 and E represent the wavelength and the amplitude, respectively, of the laser Later it was demonstrated in simulations [10] that, for an initial electron energy of 26 MeV and some stringent initial conditions (among them a ≥ 100), emerging 1.5 GeV electrons are feasible. We show that there is an inherent advantage to using a counterpropagating electron beam
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