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

Levesque, Joseph; Kuranz, Carolyn; Handy, Timothy; Manuel, Mario; Fiuza, Frederico

doi:10.1063/1.5100728

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 counter-streaming plasmas. In this paper, we perform analytical and numerical analysis 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. 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:

^[1]; Kuranz, Carolyn ^[2]; Handy, Timothy ^[2];

^[3];

^[4]

Univ. of Michigan, Ann Arbor, MI (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Michigan, Ann Arbor, MI (United States)
Univ. of Michigan, Ann Arbor, MI (United States); General Atomics, San Diego, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

Publication Date:: Tue Oct 08 00:00:00 EDT 2019

Research Org.:: SLAC National Accelerator Laboratory (SLAC), 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; TRN: US2104351

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.  doi:10.1063/1.5100728.

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                    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

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                    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.

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@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 counter-streaming plasmas. In this paper, we perform analytical and numerical analysis 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. 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         = {Tue Oct 08 00:00:00 EDT 2019},

  month        = {Tue Oct 08 00:00:00 EDT 2019}

}

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

Abstract

Citation Formats

Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma journal, February 2018

Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution journal, February 1959

Mechanism for Instability of Transverse Plasma Waves journal, January 1959

Proton radiography of dynamic electric and magnetic fields in laser-produced high-energy-density plasmas journal, May 2009

Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix journal, July 1997

Proton imaging of stochastic magnetic fields journal, December 2017

Electron, photon, and ion beams from the relativistic interaction of Petawatt laser pulses with solid targets journal, May 2000

Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma text, January 2018

Electric field detection in laser-plasma interaction experiments via the proton imaging technique journal, May 2002

Visualizing electromagnetic fields in laser-produced counter-streaming plasma experiments for collisionless shock laboratory astrophysics journal, May 2013

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

Studying astrophysical collisionless shocks with counterstreaming plasmas from high power lasers journal, March 2012

Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows journal, January 2015

Development of an interpretive simulation tool for the proton radiography technique journal, March 2015

Proton radiography as an electromagnetic field and density perturbation diagnostic (invited) journal, October 2004

Transition from Collisional to Collisionless Regimes in Interpenetrating Plasma Flows on the National Ignition Facility journal, May 2017

Invited Article: Relation between electric and magnetic field structures and their proton-beam images journal, October 2012

Cluster Magnetic Fields from Large-Scale Structure and Galaxy Cluster Shocks journal, April 2006

Filamentation Instability of Counterstreaming Laser-Driven Plasmas journal, November 2013

Generation of Magnetic Fields in the Relativistic Shock of Gamma‐Ray Burst Sources journal, December 1999

Inferring morphology and strength of magnetic fields from proton radiographs journal, December 2017

Cosmological Magnetic Field Generation by the Weibel Instability journal, December 2003

Characterizing counter-streaming interpenetrating plasmas relevant to astrophysical collisionless shocks journal, May 2012

Monoenergetic proton backlighter for measuring E and B fields and for radiographing implosions and high-energy density plasmas (invited) journal, October 2006

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

Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma
journal, February 2018

Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution
journal, February 1959

Mechanism for Instability of Transverse Plasma Waves
journal, January 1959

Proton radiography of dynamic electric and magnetic fields in laser-produced high-energy-density plasmas
journal, May 2009

Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
journal, July 1997

Proton imaging of stochastic magnetic fields
journal, December 2017

Electron, photon, and ion beams from the relativistic interaction of Petawatt laser pulses with solid targets
journal, May 2000

Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma
text, January 2018

Electric field detection in laser-plasma interaction experiments via the proton imaging technique
journal, May 2002

Visualizing electromagnetic fields in laser-produced counter-streaming plasma experiments for collisionless shock laboratory astrophysics
journal, May 2013

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

Studying astrophysical collisionless shocks with counterstreaming plasmas from high power lasers
journal, March 2012

Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows
journal, January 2015

Development of an interpretive simulation tool for the proton radiography technique
journal, March 2015

Proton radiography as an electromagnetic field and density perturbation diagnostic (invited)
journal, October 2004

Transition from Collisional to Collisionless Regimes in Interpenetrating Plasma Flows on the National Ignition Facility
journal, May 2017

Invited Article: Relation between electric and magnetic field structures and their proton-beam images
journal, October 2012

Cluster Magnetic Fields from Large-Scale Structure and Galaxy Cluster Shocks
journal, April 2006

Filamentation Instability of Counterstreaming Laser-Driven Plasmas
journal, November 2013

Generation of Magnetic Fields in the Relativistic Shock of Gamma‐Ray Burst Sources
journal, December 1999

Inferring morphology and strength of magnetic fields from proton radiographs
journal, December 2017

Cosmological Magnetic Field Generation by the Weibel Instability
journal, December 2003

Characterizing counter-streaming interpenetrating plasmas relevant to astrophysical collisionless shocks
journal, May 2012

Monoenergetic proton backlighter for measuring E and B fields and for radiographing implosions and high-energy density plasmas (invited)
journal, October 2006

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