7,334 research outputs found
Target shape effects on monoenergetic GeV proton acceleration
When a circularly polarized laser pulse interacts with a foil target, there
are three stages: pre-hole-boring, hole-boring and the light sail acceleration.
We study the electron and ion dynamics in the first stage and find the minimum
foil thickness requirement for a given laser intensity. Based on this analysis,
we propose to use a shaped foil for ion acceleration, whose thickness varies
transversely to match the laser intensity. Then, the target evolves into three
regions: the acceleration, transparency and deformation regions. In the
acceleration region, the target can be uniformly accelerated producing a
mono-energetic and spatially collimated ion beam. Detailed numerical
simulations are performed to check the feasibility and robustness of this
scheme, such as the influence of shape factors and surface roughness. A GeV
mono-energetic proton beam is observed in the three dimensional
particle-in-cell simulations when a laser pulse with the focus intensity of
1022W=cm2 is used. The energy conversion efficiency of laser pulse to
accelerated proton beam is more than 23%. Synchrotron radiation and damping
effects are also checked in the interaction.Comment: 11 pages, 9 figure
Bohr-type inequalities for unimodular bounded analytic functions
In this paper, we establish several new versions of Bohr-type inequalities
for bounded analytic functions in the unit disk by allowing
in place of the
in the power series representations of the functions
involved with the Bohr sum and thereby introducing a single parameter, which
generalize several related results of earlier authors.Comment: 13 pages. The article is with a journa
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