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

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/1.5100728 · OSTI ID:1604929
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)

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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States); University of Rochester, NY (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Grant/Contract Number:
AC02-76SF00515; NA0001944; NA0002956; NA0003869
OSTI ID:
1604929
Report Number(s):
arXiv:1910.04070v1
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 26; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (30)

Studying astrophysical collisionless shocks with counterstreaming plasmas from high power lasers journal March 2012
Proton imaging of stochastic magnetic fields journal December 2017
Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows journal January 2015
Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma journal February 2018
Electric field detection in laser-plasma interaction experiments via the proton imaging technique journal May 2002
Mechanism for Instability of Transverse Plasma Waves journal January 1959
Proton radiography as an electromagnetic field and density perturbation diagnostic (invited) journal October 2004
Monoenergetic proton backlighter for measuring E and B fields and for radiographing implosions and high-energy density plasmas (invited) journal October 2006
Proton radiography of dynamic electric and magnetic fields in laser-produced high-energy-density plasmas journal May 2009
Characterizing counter-streaming interpenetrating plasmas relevant to astrophysical collisionless shocks journal May 2012
Invited Article: Relation between electric and magnetic field structures and their proton-beam images journal October 2012
Visualizing electromagnetic fields in laser-produced counter-streaming plasma experiments for collisionless shock laboratory astrophysics journal May 2013
Development of an interpretive simulation tool for the proton radiography technique journal March 2015
Collisionless shock experiments with lasers and observation of Weibel instabilitiesa) journal May 2015
Magnetic field production via the Weibel instability in interpenetrating plasma flows journal April 2017
Inferring morphology and strength of magnetic fields from proton radiographs journal December 2017
Electron, photon, and ion beams from the relativistic interaction of Petawatt laser pulses with solid targets journal May 2000
Generation of Magnetic Fields in the Relativistic Shock of Gamma‐Ray Burst Sources journal December 1999
Cosmological Magnetic Field Generation by the Weibel Instability journal December 2003
Cluster Magnetic Fields from Large-Scale Structure and Galaxy Cluster Shocks journal April 2006
Filamentation Instability of Counterstreaming Laser-Driven Plasmas journal November 2013
Transition from Collisional to Collisionless Regimes in Interpenetrating Plasma Flows on the National Ignition Facility journal May 2017
Disruption of Current Filaments and Isotropization of the Magnetic Field in Counterstreaming Plasmas journal June 2018
Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution journal February 1959
Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix journal July 1997
Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma text January 2018
Development of an Interpretive Simulation Tool for the Proton Radiography Technique text January 2014
Inferring Morphology and Strength of Magnetic Fields From Proton Radiographs text January 2016
Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma text January 2017
Disruption of current filaments and isotropization of magnetic field in counter-streaming plasmas text January 2018