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Title: Inferring morphology and strength of magnetic fields from proton radiographs

Journal Article · · Review of Scientific Instruments
DOI:https://doi.org/10.1063/1.5013029· OSTI ID:1524603
ORCiD logo [1];  [1];  [1];  [2]
  1. Univ. of Chicago, IL (United States). Flash Center for Computational Science, Dept. of Astronomy and Astrophysics
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
+ Show Author Affiliations

Proton radiography is an important diagnostic method for laser plasma experiments and is particularly important in the analysis of magnetized plasmas. The theory of radiographic image analysis has heretofore only permitted somewhat limited analysis of the radiographs of such plasmas. We furnish here a theory that remedies this deficiency. We show that to linear order in magnetic field gradients, proton radiographs are projection images of the MHD current along the proton trajectories. We demonstrate that in the linear regime (i.e., the small image contrast regime), the full structure of the projected perpendicular magnetic field can be reconstructed by solving a steady-state inhomogeneous 2-dimensional diffusion equation sourced by the radiograph fluence contrast data. Here, we explore the validity of the scheme with increasing image contrast, as well as limitations of the inversion method due to the Poisson noise, discretization errors, radiograph edge effects, and obstruction by laser target structures. We also provide a separate analysis that is suited to the inference of isotropic-homogeneous magnetic turbulence spectra. Finally, we discuss extension of these results to the nonlinear regime (i.e., the order unity image contrast regime).

Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
SC0016566; AC02-06CH11357; B523820; PHY-0903997; PHY-1619573
OSTI ID:
1524603
Alternate ID(s):
OSTI ID: 1414330
Journal Information:
Review of Scientific Instruments, Vol. 88, Issue 12; ISSN 0034-6748
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

References (22)

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Cited By (10)

Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma journal February 2018
Numerical simulation of magnetized jet creation using a hollow ring of laser beams journal February 2019
Design of a new turbulent dynamo experiment on the OMEGA-EP journal March 2019
Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images journal October 2019
MPRAD: A Monte Carlo and ray-tracing code for the proton radiography in high-energy-density plasma experiments journal December 2019
Dynamics of the Electromagnetic Fields Induced by Fast Electron Propagation in Near-Solid-Density Media journal January 2019
Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma text January 2018
Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma text January 2017
Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images text January 2019
Transport of High-energy Charged Particles through Spatially Intermittent Turbulent Magnetic Fields journalarticle January 2020

Figures / Tables (18)

FIG. 1(p. 3)figure FIG. 1
FIG. 3(p. 8)figure FIG. 3
Figure-2(p. 8)figure Figure-2
FIG. 4(p. 9)figure FIG. 4
TABLE I(p. 9)table TABLE I
FIG. 5(p. 10)figure FIG. 5
FIG. 6(p. 10)figure FIG. 6
FIG. 7(p. 11)figure FIG. 7
FIG. 8(p. 12)figure FIG. 8
FIG. 9(p. 13)figure FIG. 9
FIG. 10(p. 14)figure FIG. 10
FIG. 11(p. 14)figure FIG. 11
FIG. 12(p. 17)figure FIG. 12
FIG. 13(p. 17)figure FIG. 13
FIG. 14(p. 18)figure FIG. 14
FIG. 15(p. 19)figure FIG. 15
FIG. 16(p. 19)figure FIG. 16
FIG. 17(p. 21)figure FIG. 17

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY