2012
DOI: 10.1063/1.4750234
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Invited Article: Relation between electric and magnetic field structures and their proton-beam images

Abstract: Proton imaging is commonly used to reveal the electric and magnetic fields that are found in high energy density plasmas. Presented here is an analysis of this technique that is directed towards developing additional insight into the underlying physics. This approach considers: formation of images in the limits of weak and strong intensity variations; caustic formation and structure; image inversion to obtain line-integrated field characteristics; direct relations between images and electric or magnetic field … Show more

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Cited by 114 publications
(212 citation statements)
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“…[11]). This is in reasonable agreement with the proton caustic formation by magnetic deflection [20], which requires ∇ ⊥ B × dℓ ∼ 60 T for typical proton energies and the experimental proton magnification factors. Here the line integral is along the proton trajectories and the gradient is taken in the object plane.…”
supporting
confidence: 73%
See 1 more Smart Citation
“…[11]). This is in reasonable agreement with the proton caustic formation by magnetic deflection [20], which requires ∇ ⊥ B × dℓ ∼ 60 T for typical proton energies and the experimental proton magnification factors. Here the line integral is along the proton trajectories and the gradient is taken in the object plane.…”
supporting
confidence: 73%
“…The first image, at t = 3.8 ns relative to the start of the driver pulse, shows a prominent and sharp"X"-like structure at the midplane, with the protons deflected into pairs of thin lines, reminiscent of the caustic proton structures observed in experiments in a similar laser-energy regime with larger initial target separation [19,20]. However, for the present discussion, we focus on the filamentary instability visible above the "X" structure.…”
mentioning
confidence: 99%
“…The extracted electric field profiles are shown in Figures 1(c)-(e), indicating that the electric field evolves from a bell-shaped profile to an asymmetric bipolar profile, while maintaining a peak amplitude of the order of 100 MV m −1 . The potential associated with the thin shell is of the order of a kV that, while being sufficiently strong to reflect the nitrogen ions of the background plasma has a small effect on the multi-MeV probing protons, confirming that the formation of caustics (as discussed in Kugland et al 2012) has no relevance here.…”
Section: Resultsmentioning
confidence: 53%
“…We have conducted the Weibel-instability mediated collisionless EM shock experiments with Omega and Omega EP laser systems (Rochester U., U.S.A), and measured plasma parameters such as electron and ion temperatures, electron density, and flow velocity of counter-streaming plasmas [60][61][62] with collective Thomson scattering (CTS) [63], and filamentary structure produced by the Weibel instability [62,64,65] with proton radiography [66,67]. Now the NIF experiment is going on.…”
Section: Introductionmentioning
confidence: 99%