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Title: Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images

Abstract

Proton imaging is a powerful tool for probing electromagnetic fields in a plasma, providing a path-integrated map of the field topology. However, in cases where the field structure is highly inhomogeneous, inferring spatial properties of the underlying field from proton images can be difficult. This problem is exemplified by recent experiments, which used proton imaging to probe the filamentary magnetic field structures produced by the Weibel instability in collisionless counterstreaming plasmas. In this paper, we perform analytical and numerical analyses of proton images of systems containing many magnetic filaments. We find that, in general, the features observed on proton images do not directly correspond to the spacing between magnetic filaments (the magnetic wavelength) as has previously been assumed and that they instead correspond to the filament size. Furthermore, we demonstrate this result by Fourier analysis of synthetic proton images for many randomized configurations of magnetic filaments. Our results help guide the interpretation of experimental proton images of filamentary magnetic structures in plasmas.

Authors:
ORCiD logo [1];  [2];  [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Univ. of Michigan, Ann Arbor, MI (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. Univ. of Michigan, Ann Arbor, MI (United States); General Atomics, San Diego, CA (United States)
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of Rochester, NY (United States); Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1604929
Alternate Identifier(s):
OSTI ID: 1607517; OSTI ID: 1638344
Report Number(s):
arXiv:1910.04070v1
Journal ID: ISSN 1070-664X
Grant/Contract Number:  
AC02-76SF00515; FWP 100182; FWP 100237; FWP 100331; NA0002956; R19071; NA0001944; NA0003869
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 10; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; electromagnetism; Gaussian random field; Gaussian processes; origin of the Universe; plasma instabilities; radiography; covariance and correlation; magnetic fields; Fourier analysis; spectroscopy

Citation Formats

Levesque, Joseph, Kuranz, Carolyn, Handy, Timothy, Manuel, Mario, and Fiuza, Frederico. Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images. United States: N. p., 2019. Web. https://doi.org/10.1063/1.5100728.
Levesque, Joseph, Kuranz, Carolyn, Handy, Timothy, Manuel, Mario, & Fiuza, Frederico. Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images. United States. https://doi.org/10.1063/1.5100728
Levesque, Joseph, Kuranz, Carolyn, Handy, Timothy, Manuel, Mario, and Fiuza, Frederico. Tue . "Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images". United States. https://doi.org/10.1063/1.5100728. https://www.osti.gov/servlets/purl/1604929.
@article{osti_1604929,
title = {Characterizing filamentary magnetic structures in counter-streaming plasmas by Fourier analysis of proton images},
author = {Levesque, Joseph and Kuranz, Carolyn and Handy, Timothy and Manuel, Mario and Fiuza, Frederico},
abstractNote = {Proton imaging is a powerful tool for probing electromagnetic fields in a plasma, providing a path-integrated map of the field topology. However, in cases where the field structure is highly inhomogeneous, inferring spatial properties of the underlying field from proton images can be difficult. This problem is exemplified by recent experiments, which used proton imaging to probe the filamentary magnetic field structures produced by the Weibel instability in collisionless counterstreaming plasmas. In this paper, we perform analytical and numerical analyses of proton images of systems containing many magnetic filaments. We find that, in general, the features observed on proton images do not directly correspond to the spacing between magnetic filaments (the magnetic wavelength) as has previously been assumed and that they instead correspond to the filament size. Furthermore, we demonstrate this result by Fourier analysis of synthetic proton images for many randomized configurations of magnetic filaments. Our results help guide the interpretation of experimental proton images of filamentary magnetic structures in plasmas.},
doi = {10.1063/1.5100728},
journal = {Physics of Plasmas},
number = 10,
volume = 26,
place = {United States},
year = {2019},
month = {10}
}

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