DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · AIP Advances
DOI: https://doi.org/10.1063/5.0169393 · OSTI ID:2222808

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.

Research Organization:
Univ. of California, Los Angeles, CA (United States); Princeton Univ., NJ (United States); Univ. of Rochester, NY (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC); National Aeronautics and Space Administration (NASA)
Grant/Contract Number:
NA0004033; NA0003856; SC0020431; 80NSSC19K0493
OSTI ID:
2222808
Alternate ID(s):
OSTI ID: 2246919
Journal Information:
AIP Advances, Vol. 13, Issue 11; ISSN 2158-3226
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (19)

More efficient computation of the complex error function journal March 1990
High-power laser experiment forming a supercritical collisionless shock in a magnetized uniform plasma at rest journal February 2022
Ion-acoustic feature of collective Thomson scattering in non-equilibrium two-stream plasmas journal January 2023
Kappa Distributions: Theory and Applications in Space Plasmas journal October 2010
Impact of the Langdon effect on crossed-beam energy transfer journal December 2019
Comment on “Mathematical and physical aspects of Kappa velocity distribution” [Phys. Plasmas 14, 110702 (2007)] journal September 2009
emcee : The MCMC Hammer
  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067
journal March 2013
Characterization of thermal transport and evolution of Au plasma in ICF experiments by Thomson scattering journal January 2022
Recent development of collective Thomson scattering for magnetically confined fusion plasmas journal December 2016
A reflective optical transport system for ultraviolet Thomson scattering from electron plasma waves on OMEGA journal October 2012
Local plasma parameter measurements in colliding laser-produced plasmas for studying magnetic reconnection journal August 2020
Statistical analysis of non-Maxwellian electron distribution functions measured with angularly resolved Thomson scattering journal August 2021
Non-Maxwellian rate coefficients for electron and ion collisions in Rydberg plasmas: implications for excitation and ionization journal May 2020
Measuring heat flux from collective Thomson scattering with non-Maxwellian distribution functions journal March 2019
Effects of non-Maxwellian (super-Gaussian) electron velocity distribution on the spectrum of Thomson scattering journal July 1997
Impact of non-Maxwellian electron velocity distribution functions on inferred plasma parameters in collective Thomson scattering journal February 2019
On the local measurement of electric currents and magnetic fields using Thomson scattering in Weibel-unstable plasmas journal May 2020
The design of the optical Thomson scattering diagnostic for the National Ignition Facility journal September 2016
Collective Thomson scattering in non-equilibrium laser produced two-stream plasmas journal October 2020