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...
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Published in | AIP advances Vol. 13; no. 11; pp. 115328 - 115328-14 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Melville
American Institute of Physics
01.11.2023
American Institute of Physics (AIP) AIP Publishing LLC |
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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. |
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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 |
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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 |
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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 |
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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 |
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Title | Recovering non-Maxwellian particle velocity distribution functions from collective Thomson-scattered spectra |
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