Recovering non-Maxwellian particle velocity distribution functions from collective Thomson-scattered spectra

Collective optical Thomson scattering (TS) is a diagnostic commonly used to characterize plasma parameters. These parameters are typically extracted by a fitting algorithm that minimizes the difference between a measured scattered spectrum and an analytic spectrum calculated from the velocity distri...

Full description

Saved in:
Bibliographic Details
Published inAIP advances Vol. 13; no. 11; pp. 115328 - 115328-14
Main Authors Foo, B. C., Schaeffer, D. B., Heuer, P. V.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.11.2023
American Institute of Physics (AIP)
AIP Publishing LLC
Subjects
Online AccessGet full text

Cover

Loading…
Abstract Collective optical Thomson scattering (TS) is a diagnostic commonly used to characterize plasma parameters. These parameters are typically extracted by a fitting algorithm that minimizes the difference between a measured scattered spectrum and an analytic spectrum calculated from the velocity distribution function (VDF) of the plasma. However, most existing TS analysis algorithms assume that the VDFs are Maxwellian, and applying an algorithm that makes this assumption does not accurately extract the plasma parameters of a non-Maxwellian plasma due to the effect of non-Maxwellian deviations on the TS spectra. We present new open-source numerical tools for forward modeling analytic spectra from arbitrary VDFs and show that these tools are able to more accurately extract plasma parameters from synthetic TS spectra generated by non-Maxwellian VDFs compared to standard TS algorithms. Estimated posterior probability distributions of fits to synthetic spectra for a variety of example non-Maxwellian VDFs are used to determine uncertainties in the extracted plasma parameters and show that correlations between parameters can significantly affect the accuracy of fits in plasmas with non-Maxwellian VDFs.
AbstractList Collective optical Thomson scattering (TS) is a diagnostic commonly used to characterize plasma parameters. These parameters are typically extracted by a fitting algorithm that minimizes the difference between a measured scattered spectrum and an analytic spectrum calculated from the velocity distribution function (VDF) of the plasma. However, most existing TS analysis algorithms assume that the VDFs are Maxwellian, and applying an algorithm that makes this assumption does not accurately extract the plasma parameters of a non-Maxwellian plasma due to the effect of non-Maxwellian deviations on the TS spectra. We present new open-source numerical tools for forward modeling analytic spectra from arbitrary VDFs and show that these tools are able to more accurately extract plasma parameters from synthetic TS spectra generated by non-Maxwellian VDFs compared to standard TS algorithms. Estimated posterior probability distributions of fits to synthetic spectra for a variety of example non-Maxwellian VDFs are used to determine uncertainties in the extracted plasma parameters and show that correlations between parameters can significantly affect the accuracy of fits in plasmas with non-Maxwellian VDFs.
Author Heuer, P. V.
Foo, B. C.
Schaeffer, D. B.
Author_xml – sequence: 1
  givenname: B. C.
  surname: Foo
  fullname: Foo, B. C.
  organization: Princeton University
– sequence: 2
  givenname: D. B.
  surname: Schaeffer
  fullname: Schaeffer, D. B.
  organization: University of California Los Angeles
– sequence: 3
  givenname: P. V.
  surname: Heuer
  fullname: Heuer, P. V.
  organization: University of Rochester Laboratory for Laser Energetics
BackLink https://www.osti.gov/servlets/purl/2222808$$D View this record in Osti.gov
BookMark eNp9kV1rFTEQhoNUsNZe-A-CXilszddmk0spVgsVobTXIZudtDnsSY5JzrH992bdg3jl3GSYPLwz78xrdBJTBITeUnJBieSf-gtCpeaav0CnjPaq44zJk3_yV-i8lA1pITQlSpyi-RZcOkAO8QE3te67ffoF8xxsxDuba3Az4APMyYX6jKdQag7jvoYUsd9HtyQF-5y22KV5hlY4AL57TNvStIqztUKGCZdd-8r2DXrp7Vzg_PieofurL3eX37qbH1-vLz_fdI4rUjsqSM-UHC33Uk--F96PalBALSd-Gi0brbOEDIMeteilA8kmDmwYnKSCjYyfoetVd0p2Y3Y5bG1-NskG86eQ8oM5ejNAVG-phGHyVDjediLF4LS1Sy9NFq13q1YqNZjS9gDu0aUYmyPDWiiiGvR-hXY5_dxDqWaT9jk2j4Yp3RM6SKEb9WGlXE6lZPB_R6PELAc0vTkesLEfV3bpaJc9_wf-DUuwnRk
CODEN AAIDBI
Cites_doi 10.1086/670067
10.1063/5.0041504
10.1063/1.4962043
10.1063/1.5140674
10.1103/physrevlett.124.025001
10.1016/j.hedp.2020.100754
10.1063/5.0011935
10.1063/1.5085664
10.1063/1.5086753
10.1063/1.872141
10.1088/1402-4896/92/2/024001
10.1103/physrevlett.127.015001
10.1103/physrevlett.122.245001
10.1103/physreve.105.025203
10.1063/1.4733551
10.1103/physrevlett.119.025001
10.1017/s0022377820000513
10.1063/5.0117812
10.1145/77626.77629
10.1103/physrevlett.79.1277
10.1038/s41567-019-0725-z
10.1023/a:1012218600882
10.1007/s11207-010-9640-2
10.1063/5.0060005
10.1103/physrevlett.98.135001
10.1063/1.3213388
ContentType Journal Article
Copyright Author(s)
2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Copyright_xml – notice: Author(s)
– notice: 2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
CorporateAuthor Princeton Univ., NJ (United States)
Univ. of California, Los Angeles, CA (United States)
Univ. of Rochester, NY (United States)
CorporateAuthor_xml – name: Princeton Univ., NJ (United States)
– name: Univ. of California, Los Angeles, CA (United States)
– name: Univ. of Rochester, NY (United States)
DBID AJDQP
AAYXX
CITATION
8FD
H8D
L7M
OIOZB
OTOTI
DOA
DOI 10.1063/5.0169393
DatabaseName AIP Open Access Journals
CrossRef
Technology Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
OSTI.GOV - Hybrid
OSTI.GOV
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Technology Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
DatabaseTitleList

Technology Research Database
CrossRef

Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: AJDQP
  name: AIP Open Access Journals
  url: https://publishing.aip.org/librarians/open-access-policy
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2158-3226
EndPage 115328-14
ExternalDocumentID oai_doaj_org_article_e085a16e7df14c3084647c9aaa30f902
2222808
10_1063_5_0169393
adv
GrantInformation_xml – fundername: New York State Energy Research and Development Authority
  funderid: https://doi.org/10.13039/100004862
– fundername: University of Rochester
  funderid: https://doi.org/10.13039/100008091
– fundername: National Aeronautics and Space Administration
  grantid: 80NSSC19K0493
  funderid: https://doi.org/10.13039/100000104
– fundername: National Nuclear Security Administration
  grantid: DE-NA0004033; DE-NA0003856; DE-SC0020431
  funderid: https://doi.org/10.13039/100006168
GroupedDBID 5VS
61.
AAFWJ
ABFTF
ACGFO
ADBBV
ADCTM
AEGXH
AENEX
AFPKN
AGKCL
AGLKD
AHSDT
AIAGR
AJDQP
ALMA_UNASSIGNED_HOLDINGS
BCNDV
EBS
FRP
GROUPED_DOAJ
HH5
KQ8
M~E
OK1
RIP
RNS
RQS
AAYXX
CITATION
8FD
H8D
L7M
OIOZB
OTOTI
ID FETCH-LOGICAL-c380t-1405286ba3f69df54ffb878e1a30fdba2baca00779b9456ce62d3e277c6142b23
IEDL.DBID AJDQP
ISSN 2158-3226
IngestDate Tue Oct 22 15:08:48 EDT 2024
Tue Jun 25 16:20:40 EDT 2024
Thu Oct 10 20:07:13 EDT 2024
Fri Aug 23 02:51:10 EDT 2024
Fri Jun 21 00:10:13 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 11
Language English
License All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c380t-1405286ba3f69df54ffb878e1a30fdba2baca00779b9456ce62d3e277c6142b23
Notes National Aeronautics and Space Administration (NASA)
USDOE Office of Science (SC)
NA0004033; NA0003856; SC0020431; 80NSSC19K0493
USDOE National Nuclear Security Administration (NNSA)
ORCID 0000-0001-5308-6870
0000-0001-5050-6606
0000-0003-1675-5910
0000000316755910
0000000153086870
0000000150506606
OpenAccessLink http://dx.doi.org/10.1063/5.0169393
PQID 2895017649
PQPubID 2050671
PageCount 14
ParticipantIDs crossref_primary_10_1063_5_0169393
osti_scitechconnect_2222808
doaj_primary_oai_doaj_org_article_e085a16e7df14c3084647c9aaa30f902
scitation_primary_10_1063_5_0169393
proquest_journals_2895017649
PublicationCentury 2000
PublicationDate 2023-11-01
PublicationDateYYYYMMDD 2023-11-01
PublicationDate_xml – month: 11
  year: 2023
  text: 2023-11-01
  day: 01
PublicationDecade 2020
PublicationPlace Melville
PublicationPlace_xml – name: Melville
– name: United States
PublicationTitle AIP advances
PublicationYear 2023
Publisher American Institute of Physics
American Institute of Physics (AIP)
AIP Publishing LLC
Publisher_xml – name: American Institute of Physics
– name: American Institute of Physics (AIP)
– name: AIP Publishing LLC
References (c11) 2022; 29
(c22) 2019; 26
(c25) 2010; 267
(c4) 2019; 122
(c19) 2020; 27
(c21) 1997; 4
(c31) 2013; 125
(c27) 2009; 16
(c2) 2007; 98
(c15) 2021; 127
(c17) 2022; 105
(c30) 1990; 16
(c13) 2019; 26
(c3) 2017; 119
(c16) 2021; 28
(c24) 2012; 83
(c18) 2020; 86
(c26) 2001; 277
(c6) 2020; 36
(c8) 1997; 79
(c10) 2020; 16
(c20) 2023; 30
(c9) 2016; 92
(c14) 2020; 124
(c5) 2020; 27
(c12) 2016; 87
Glenzer (2023112917365262300_c8) 1997; 79
Milder (2023112917365262300_c14) 2020; 124
Turnbull (2023112917365262300_c10) 2020; 16
Yamazaki (2023112917365262300_c17) 2022; 105
Sakai (2023112917365262300_c20) 2023; 30
Henchen (2023112917365262300_c13) 2019; 26
Morita (2023112917365262300_c6) 2020; 36
Pierrard (2023112917365262300_c25) 2010; 267
Murphy (2023112917365262300_c28) 2023
Foreman-Mackey (2023112917365262300_c31) 2013; 125
Bruulsema (2023112917365262300_c11) 2022; 29
Datte (2023112917365262300_c12) 2016; 87
Bruulsema (2023112917365262300_c5) 2020; 27
2023112917365262300_c7
Foo (2023112917365262300_c23) 2023
Sakai (2023112917365262300_c19) 2020; 27
Milder (2023112917365262300_c15) 2021; 127
Nielsen (2023112917365262300_c9) 2016; 92
Zheng (2023112917365262300_c21) 1997; 4
Schaeffer (2023112917365262300_c3) 2017; 119
Katz (2023112917365262300_c24) 2012; 83
Froula (2023112917365262300_c1) 2011
Milder (2023112917365262300_c16) 2021; 28
Newville (2023112917365262300_c29) 2023
Poppe (2023112917365262300_c30) 1990; 16
Hellberg (2023112917365262300_c27) 2009; 16
Schaeffer (2023112917365262300_c4) 2019; 122
Milder (2023112917365262300_c22) 2019; 26
Vrinceanu (2023112917365262300_c18) 2020; 86
Pierrard (2023112917365262300_c26) 2001; 277
Froula (2023112917365262300_c2) 2007; 98
References_xml – volume: 16
  start-page: 094701
  year: 2009
  ident: c27
  article-title: Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)]
  publication-title: Phys. Plasmas
– volume: 86
  start-page: 845860301
  year: 2020
  ident: c18
  article-title: Non-Maxwellian rate coefficients for electron and ion collisions in Rydberg plasmas: Implications for excitation and ionization
  publication-title: J. Plasma Phys.
– volume: 30
  start-page: 012105
  year: 2023
  ident: c20
  article-title: Ion-acoustic feature of collective Thomson scattering in non-equilibrium two-stream plasmas
  publication-title: Phys. Plasmas
– volume: 127
  start-page: 015001
  year: 2021
  ident: c15
  article-title: Measurements of non-Maxwellian electron distribution functions and their effect on laser heating
  publication-title: Phys. Rev. Lett.
– volume: 277
  start-page: 195
  year: 2001
  ident: c26
  article-title: Core, halo and strahl electrons in the solar wind
  publication-title: Astrophys. Space Sci.
– volume: 36
  start-page: 100754
  year: 2020
  ident: c6
  article-title: Local plasma parameter measurements in colliding laser-produced plasmas for studying magnetic reconnection
  publication-title: High Energy Density Phys.
– volume: 27
  start-page: 103104
  year: 2020
  ident: c19
  article-title: Collective Thomson scattering in non-equilibrium laser produced two-stream plasmas
  publication-title: Phys. Plasmas
– volume: 92
  start-page: 024001
  year: 2016
  ident: c9
  article-title: Recent development of collective Thomson scattering for magnetically confined fusion plasmas
  publication-title: Phys. Scr.
– volume: 83
  start-page: 10E349
  year: 2012
  ident: c24
  article-title: A reflective optical transport system for ultraviolet Thomson scattering from electron plasma waves on OMEGA
  publication-title: Rev. Sci. Instrum.
– volume: 98
  start-page: 135001
  year: 2007
  ident: c2
  article-title: Quenching of the nonlocal electron heat transport by large external magnetic fields in a laser-produced plasma measured with imaging Thomson scattering
  publication-title: Phys. Rev. Lett.
– volume: 16
  start-page: 38
  year: 1990
  ident: c30
  article-title: More efficient computation of the complex error function
  publication-title: ACM Trans. Math. Software
– volume: 29
  start-page: 012304
  year: 2022
  ident: c11
  article-title: Characterization of thermal transport and evolution of Au plasma in ICF experiments by Thomson scattering
  publication-title: Phys. Plasmas
– volume: 122
  start-page: 245001
  year: 2019
  ident: c4
  article-title: Direct observations of particle dynamics in magnetized collisionless shock precursors in laser-produced plasmas
  publication-title: Phys. Rev. Lett.
– volume: 4
  start-page: 2736
  year: 1997
  ident: c21
  article-title: Effects of non-Maxwellian (super-Gaussian) electron velocity distribution on the spectrum of Thomson scattering
  publication-title: Phys. Plasmas
– volume: 125
  start-page: 306
  year: 2013
  ident: c31
  article-title: emcee: The MCMC hammer
  publication-title: Publ. Astron. Soc. Pac.
– volume: 105
  start-page: 025203
  year: 2022
  ident: c17
  article-title: High-power laser experiment forming a supercritical collisionless shock in a magnetized uniform plasma at rest
  publication-title: Phys. Rev. E
– volume: 124
  start-page: 025001
  year: 2020
  ident: c14
  article-title: Evolution of the electron distribution function in the presence of inverse bremsstrahlung heating and collisional ionization
  publication-title: Phys. Rev. Lett.
– volume: 27
  start-page: 052104
  year: 2020
  ident: c5
  article-title: On the local measurement of electric currents and magnetic fields using Thomson scattering in Weibel-unstable plasmas
  publication-title: Phys. Plasmas
– volume: 267
  start-page: 153
  year: 2010
  ident: c25
  article-title: Kappa distributions: Theory and applications in space plasmas
  publication-title: Sol. Phys.
– volume: 119
  start-page: 025001
  year: 2017
  ident: c3
  article-title: Generation and evolution of high-Mach-number laser-driven magnetized collisionless shocks in the laboratory
  publication-title: Phys. Rev. Lett.
– volume: 16
  start-page: 181
  year: 2020
  ident: c10
  article-title: Impact of the Langdon effect on crossed-beam energy transfer
  publication-title: Nat. Phys.
– volume: 87
  start-page: 11E549
  year: 2016
  ident: c12
  article-title: The design of the optical Thomson scattering diagnostic for the National Ignition Facility
  publication-title: Rev. Sci. Instrum.
– volume: 26
  start-page: 022711
  year: 2019
  ident: c22
  article-title: Impact of non-Maxwellian electron velocity distribution functions on inferred plasma parameters in collective Thomson scattering
  publication-title: Phys. Plasmas
– volume: 26
  start-page: 032104
  year: 2019
  ident: c13
  article-title: Measuring heat flux from collective Thomson scattering with non-Maxwellian distribution functions
  publication-title: Phys. Plasmas
– volume: 79
  start-page: 1277
  year: 1997
  ident: c8
  article-title: Thomson scattering from inertial-confinement-fusion hohlraum plasmas
  publication-title: Phys. Rev. Lett.
– volume: 28
  start-page: 082102
  year: 2021
  ident: c16
  article-title: Statistical analysis of non-Maxwellian electron distribution functions measured with angularly resolved Thomson scattering
  publication-title: Phys. Plasmas
– volume: 125
  start-page: 306
  year: 2013
  ident: 2023112917365262300_c31
  article-title: emcee: The MCMC hammer
  publication-title: Publ. Astron. Soc. Pac.
  doi: 10.1086/670067
  contributor:
    fullname: Foreman-Mackey
– volume: 28
  start-page: 082102
  year: 2021
  ident: 2023112917365262300_c16
  article-title: Statistical analysis of non-Maxwellian electron distribution functions measured with angularly resolved Thomson scattering
  publication-title: Phys. Plasmas
  doi: 10.1063/5.0041504
  contributor:
    fullname: Milder
– volume: 87
  start-page: 11E549
  year: 2016
  ident: 2023112917365262300_c12
  article-title: The design of the optical Thomson scattering diagnostic for the National Ignition Facility
  publication-title: Rev. Sci. Instrum.
  doi: 10.1063/1.4962043
  contributor:
    fullname: Datte
– year: 2023
  ident: 2023112917365262300_c28
  contributor:
    fullname: Murphy
– volume: 27
  start-page: 052104
  year: 2020
  ident: 2023112917365262300_c5
  article-title: On the local measurement of electric currents and magnetic fields using Thomson scattering in Weibel-unstable plasmas
  publication-title: Phys. Plasmas
  doi: 10.1063/1.5140674
  contributor:
    fullname: Bruulsema
– ident: 2023112917365262300_c7
– year: 2023
  ident: 2023112917365262300_c29
  article-title: LMFIT: Non-linear least-square minimization and curve-fitting for Python
  contributor:
    fullname: Newville
– volume: 124
  start-page: 025001
  year: 2020
  ident: 2023112917365262300_c14
  article-title: Evolution of the electron distribution function in the presence of inverse bremsstrahlung heating and collisional ionization
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.124.025001
  contributor:
    fullname: Milder
– volume: 36
  start-page: 100754
  year: 2020
  ident: 2023112917365262300_c6
  article-title: Local plasma parameter measurements in colliding laser-produced plasmas for studying magnetic reconnection
  publication-title: High Energy Density Phys.
  doi: 10.1016/j.hedp.2020.100754
  contributor:
    fullname: Morita
– volume: 27
  start-page: 103104
  year: 2020
  ident: 2023112917365262300_c19
  article-title: Collective Thomson scattering in non-equilibrium laser produced two-stream plasmas
  publication-title: Phys. Plasmas
  doi: 10.1063/5.0011935
  contributor:
    fullname: Sakai
– volume: 26
  start-page: 022711
  year: 2019
  ident: 2023112917365262300_c22
  article-title: Impact of non-Maxwellian electron velocity distribution functions on inferred plasma parameters in collective Thomson scattering
  publication-title: Phys. Plasmas
  doi: 10.1063/1.5085664
  contributor:
    fullname: Milder
– volume: 26
  start-page: 032104
  year: 2019
  ident: 2023112917365262300_c13
  article-title: Measuring heat flux from collective Thomson scattering with non-Maxwellian distribution functions
  publication-title: Phys. Plasmas
  doi: 10.1063/1.5086753
  contributor:
    fullname: Henchen
– volume: 4
  start-page: 2736
  year: 1997
  ident: 2023112917365262300_c21
  article-title: Effects of non-Maxwellian (super-Gaussian) electron velocity distribution on the spectrum of Thomson scattering
  publication-title: Phys. Plasmas
  doi: 10.1063/1.872141
  contributor:
    fullname: Zheng
– volume: 92
  start-page: 024001
  year: 2016
  ident: 2023112917365262300_c9
  article-title: Recent development of collective Thomson scattering for magnetically confined fusion plasmas
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/92/2/024001
  contributor:
    fullname: Nielsen
– volume: 127
  start-page: 015001
  year: 2021
  ident: 2023112917365262300_c15
  article-title: Measurements of non-Maxwellian electron distribution functions and their effect on laser heating
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.127.015001
  contributor:
    fullname: Milder
– year: 2023
  ident: 2023112917365262300_c23
  article-title: Non-Maxwellian VDF fitting from Thomsonscattered spectrum. Zenodo.
  contributor:
    fullname: Foo
– volume: 122
  start-page: 245001
  year: 2019
  ident: 2023112917365262300_c4
  article-title: Direct observations of particle dynamics in magnetized collisionless shock precursors in laser-produced plasmas
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.122.245001
  contributor:
    fullname: Schaeffer
– volume: 105
  start-page: 025203
  year: 2022
  ident: 2023112917365262300_c17
  article-title: High-power laser experiment forming a supercritical collisionless shock in a magnetized uniform plasma at rest
  publication-title: Phys. Rev. E
  doi: 10.1103/physreve.105.025203
  contributor:
    fullname: Yamazaki
– volume: 83
  start-page: 10E349
  year: 2012
  ident: 2023112917365262300_c24
  article-title: A reflective optical transport system for ultraviolet Thomson scattering from electron plasma waves on OMEGA
  publication-title: Rev. Sci. Instrum.
  doi: 10.1063/1.4733551
  contributor:
    fullname: Katz
– volume: 119
  start-page: 025001
  year: 2017
  ident: 2023112917365262300_c3
  article-title: Generation and evolution of high-Mach-number laser-driven magnetized collisionless shocks in the laboratory
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.119.025001
  contributor:
    fullname: Schaeffer
– volume-title: Plasma Scattering of Electromagnetic Radiation: Theory and Measurement Techniques
  year: 2011
  ident: 2023112917365262300_c1
  contributor:
    fullname: Froula
– volume: 86
  start-page: 845860301
  year: 2020
  ident: 2023112917365262300_c18
  article-title: Non-Maxwellian rate coefficients for electron and ion collisions in Rydberg plasmas: Implications for excitation and ionization
  publication-title: J. Plasma Phys.
  doi: 10.1017/s0022377820000513
  contributor:
    fullname: Vrinceanu
– volume: 30
  start-page: 012105
  year: 2023
  ident: 2023112917365262300_c20
  article-title: Ion-acoustic feature of collective Thomson scattering in non-equilibrium two-stream plasmas
  publication-title: Phys. Plasmas
  doi: 10.1063/5.0117812
  contributor:
    fullname: Sakai
– volume: 16
  start-page: 38
  year: 1990
  ident: 2023112917365262300_c30
  article-title: More efficient computation of the complex error function
  publication-title: ACM Trans. Math. Software
  doi: 10.1145/77626.77629
  contributor:
    fullname: Poppe
– volume: 79
  start-page: 1277
  year: 1997
  ident: 2023112917365262300_c8
  article-title: Thomson scattering from inertial-confinement-fusion hohlraum plasmas
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.79.1277
  contributor:
    fullname: Glenzer
– volume: 16
  start-page: 181
  year: 2020
  ident: 2023112917365262300_c10
  article-title: Impact of the Langdon effect on crossed-beam energy transfer
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-019-0725-z
  contributor:
    fullname: Turnbull
– volume: 277
  start-page: 195
  year: 2001
  ident: 2023112917365262300_c26
  article-title: Core, halo and strahl electrons in the solar wind
  publication-title: Astrophys. Space Sci.
  doi: 10.1023/a:1012218600882
  contributor:
    fullname: Pierrard
– volume: 267
  start-page: 153
  year: 2010
  ident: 2023112917365262300_c25
  article-title: Kappa distributions: Theory and applications in space plasmas
  publication-title: Sol. Phys.
  doi: 10.1007/s11207-010-9640-2
  contributor:
    fullname: Pierrard
– volume: 29
  start-page: 012304
  year: 2022
  ident: 2023112917365262300_c11
  article-title: Characterization of thermal transport and evolution of Au plasma in ICF experiments by Thomson scattering
  publication-title: Phys. Plasmas
  doi: 10.1063/5.0060005
  contributor:
    fullname: Bruulsema
– volume: 98
  start-page: 135001
  year: 2007
  ident: 2023112917365262300_c2
  article-title: Quenching of the nonlocal electron heat transport by large external magnetic fields in a laser-produced plasma measured with imaging Thomson scattering
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/physrevlett.98.135001
  contributor:
    fullname: Froula
– volume: 16
  start-page: 094701
  year: 2009
  ident: 2023112917365262300_c27
  article-title: Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)]
  publication-title: Phys. Plasmas
  doi: 10.1063/1.3213388
  contributor:
    fullname: Hellberg
SSID ssj0000491084
Score 2.3550541
Snippet Collective optical Thomson scattering (TS) is a diagnostic commonly used to characterize plasma parameters. These parameters are typically extracted by a...
SourceID doaj
osti
proquest
crossref
scitation
SourceType Open Website
Open Access Repository
Aggregation Database
Publisher
StartPage 115328
SubjectTerms 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Algorithms
Conditional probability
Distribution functions
non-Maxwellian distribution functions
numerical methods
Parameters
Plasma
Spectra
Thomson scattering
Velocity distribution
SummonAdditionalLinks – databaseName: DOAJ Directory of Open Access Journals
  dbid: DOA
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8QwEA4iiF7EJ9YXQb0G27yaHFVcFkFPCt5CXkU8qLir6L93Ju3KehAvngollOlMkvkmmfmGkBOftUoyZQbuqWbSBsFMip4lbw0A0hwDx3rn6xs9vpNX9-p-rtUX5oT19MC94k4zYALf6NymrpFR1OAvZRut917UnR1oJGs7F0w99ri3gaEzKiEtTpGdU1thxQ8HVHj64fEM6-kHxlwGB9Tfhc-5m9EaWR1wIj3r5VsnC_lpgyyVfM042SQlbHwvNIIUAnh27T_wFA5sTV-Gf6KYDQSf_6QJyXGHvlYUHVmZaxQrSyjOg37Po5gbAuibTWLh3MyJljLMV79F7kaXtxdjNjROYFGYesogaFLc6OBFp23qlOy6YFqTG9RZCp4HHz0S-dhgAUDFrHkSmbdtBGfNAxfbZBFkzzuE6q5VXgZvE49S8WyS9qkzNqusVGxURY5m2nQvPT-GK_faWjjlBpVX5Bz1_D0AKa3LCzC0G5Ti_jJ0RfbQSg4Nk-NDxDygOHUcj7BqU5H9mfHcsAonDoJJBTuOlrYix98G_V3O3f-Qc4-sYEv6vl5xnyxOX9_yAQCXaTgsc_QLaqbsog
  priority: 102
  providerName: Directory of Open Access Journals
Title Recovering non-Maxwellian particle velocity distribution functions from collective Thomson-scattered spectra
URI http://dx.doi.org/10.1063/5.0169393
https://www.proquest.com/docview/2895017649
https://www.osti.gov/servlets/purl/2222808
https://doaj.org/article/e085a16e7df14c3084647c9aaa30f902
Volume 13
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1bSx0xEB7sEakvpdWWbrUSqq-hu7lt8mi9IIKlgoJvIbelT614TkX_fWeyew76IPi0sOyGMF-S-SaZ-QJwEIrRWeXC0T21XLkouc0p8BycRUJaUhRU73zx05xdq_MbfbMG-y-c4Bv5nWQ1jZNOvoF10btWzGD98Pz48tdqKwXb7FqrlrpBT_955m2qKD8-_uLkeUYo36K3GQ--n_iW0_fwbiKF7HBE8QOslT9bsFGTM9N8G2qMeF81AxlG6_wiPNCWGwLLbifkGaX-YPOPLJMS7nSJFSOvVQcWozISRqCPCxyjRBCk2nyeqsBmyazWXN6Fj3B9enJ1dManWxJ4krZdcIyQtLAmBjkYlwethiHa3pYuyHbIMYgYUiDVHhcdsqVUjMiyiL5P6JlFFPITzLDv5TMwM_Q6qBhcFklpUWw2IQ_WFV20Tp1u4NvSmv52FMPw9RDbSK_9ZPIGfpCdVx-QfnV9gaD6ySi-INMLnSl9HjqVJKJnVJ9cCNRpxLiBHULJEzAl_U6U9JMWXtB-VWsb2F2C56cpN_cYOWpcXoxyDeyvAH25n19e9dUObNIF82P14S7MFnf_ylekIYu4Nw3DvRrG_wdJrNva
link.rule.ids 230,315,783,787,867,888,2109,27902,27936,27937,76743
linkProvider American Institute of Physics
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3dTxQxEG8UYuDF4FdcQWzU18puv7Z9RIGcyBFNIOGt6dcGEyMX7iD63zvT7Z3wYOLTJpvu7uxM2_lNO_MrIe991irJlBm4p5ZJGwQzKXqWvDUASHMMHOudp6d6ci6PL9RFzc3BWhgQYv7Bf5-NFMHpdq8qkP0AzHkz-0s4oMUeEm5qK6x4SNaRkwa6-fr-8cG3r6tFFvha1xq5ZBS6-8w9P1To-uFyBcPqHtTcAD80bonf8TpHW-RxhYt0fxTvCXmQfz4lj0raZpw_IyV6vC1sghTieDb1v3AxDkxOZ_WXKCYFwet_04QcufV4K4r-rHQ5igUmFLvDOPVRTBEBEM7msVBv5kRLNea1f07Ojw7PPk1YPT-BRWHaBYPYSXGjgxeDtmlQchiC6U3uvGiHFDwPPnrk87HBAo6KWfMkMu_7CD6bBy5ekDWQPb8kVA-98jJ4m3iUimeTtE-DsVllpWKnGvJ2qU03G2kyXNne1sIpV1XekI-o51UDZLYuN8DWrirFZcCAvtO5T0MnowDradlH6z0KbVvekG20kkPD5HgZMR0oLhzHlazWNGRnaTxXB-PcQUypYOLR0jbk3cqg_5bz1X-1ekM2JmfTE3fy-fTLNtnEY-jHGsUdsra4vsmvAawswm7tkn8Acbnn7g
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Recovering+non-Maxwellian+particle+velocity+distribution+functions+from+collective+Thomson-scattered+spectra&rft.jtitle=AIP+advances&rft.au=Foo%2C+B.+C.&rft.au=Schaeffer%2C+D.+B.&rft.au=Heuer%2C+P.+V.&rft.date=2023-11-01&rft.eissn=2158-3226&rft.volume=13&rft.issue=11&rft_id=info:doi/10.1063%2F5.0169393&rft.externalDocID=adv
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2158-3226&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2158-3226&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2158-3226&client=summon