Bootstrap estimation of the effect of instrument response function uncertainty on the reconstruction of fusion neutron sources
Abstract
Neutron imagers are important diagnostics for the inertial confinement fusion implosions at the National Ignition Facility. They provide two- and three-dimensional reconstructions of the neutron source shape that are key indicators of the overall performance. To interpret the shape results properly, it is critical to estimate the uncertainty in those reconstructions. There are two main sources of uncertainties: limited neutron statistics, leading to random errors in the reconstructed images, and incomplete knowledge of the instrument response function (the pinhole-dependent point spread function). While the statistical errors dominate the uncertainty for lower yield deuterium-tritium (DT) shots, errors due to the instrument response function dominate the uncertainty for DT yields on the order of 1016 neutrons or higher. In this work, a bootstrapping method estimates the uncertainty in a reconstructed image due to the incomplete knowledge of the instrument response function. The main reconstruction is created from the fixed collection of pinhole images that are best aligned with the neutron source. Additional reconstructions are then built using subsets of that collection of images. Variations in the shapes of these additional reconstructions originate solely from uncertainties in the instrument response function, allowing us to use them to provide an additional systematic uncertainty estimate.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1868258
- Alternate Identifier(s):
- OSTI ID: 1864086; OSTI ID: 1873642
- Report Number(s):
- LA-UR-22-20005; LLNL-JRNL-831212
Journal ID: ISSN 0034-6748; TRN: US2306619
- Grant/Contract Number:
- 89233218CNA000001; AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Review of Scientific Instruments
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 0034-6748
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 47 OTHER INSTRUMENTATION; neutron sources; metrology; image processing; electronic noise; tritium; plasma confinement; signal processing; scintillators; deuterium; data science
Citation Formats
Lamb, Kevin Matthew, Geppert-Kleinrath, Verena, Birge, Noah Watson, Danly, Christopher Russell, Divol, Laurent, Fittinghoff, David N., Freeman, Matthew Stouten, Pak, Arthur E., Wilde, Carl Huerstel, Zylstra, Alex B., and Volegov, Petr L. Bootstrap estimation of the effect of instrument response function uncertainty on the reconstruction of fusion neutron sources. United States: N. p., 2022.
Web. doi:10.1063/5.0086450.
Lamb, Kevin Matthew, Geppert-Kleinrath, Verena, Birge, Noah Watson, Danly, Christopher Russell, Divol, Laurent, Fittinghoff, David N., Freeman, Matthew Stouten, Pak, Arthur E., Wilde, Carl Huerstel, Zylstra, Alex B., & Volegov, Petr L. Bootstrap estimation of the effect of instrument response function uncertainty on the reconstruction of fusion neutron sources. United States. https://doi.org/10.1063/5.0086450
Lamb, Kevin Matthew, Geppert-Kleinrath, Verena, Birge, Noah Watson, Danly, Christopher Russell, Divol, Laurent, Fittinghoff, David N., Freeman, Matthew Stouten, Pak, Arthur E., Wilde, Carl Huerstel, Zylstra, Alex B., and Volegov, Petr L. Thu .
"Bootstrap estimation of the effect of instrument response function uncertainty on the reconstruction of fusion neutron sources". United States. https://doi.org/10.1063/5.0086450. https://www.osti.gov/servlets/purl/1868258.
@article{osti_1868258,
title = {Bootstrap estimation of the effect of instrument response function uncertainty on the reconstruction of fusion neutron sources},
author = {Lamb, Kevin Matthew and Geppert-Kleinrath, Verena and Birge, Noah Watson and Danly, Christopher Russell and Divol, Laurent and Fittinghoff, David N. and Freeman, Matthew Stouten and Pak, Arthur E. and Wilde, Carl Huerstel and Zylstra, Alex B. and Volegov, Petr L.},
abstractNote = {Neutron imagers are important diagnostics for the inertial confinement fusion implosions at the National Ignition Facility. They provide two- and three-dimensional reconstructions of the neutron source shape that are key indicators of the overall performance. To interpret the shape results properly, it is critical to estimate the uncertainty in those reconstructions. There are two main sources of uncertainties: limited neutron statistics, leading to random errors in the reconstructed images, and incomplete knowledge of the instrument response function (the pinhole-dependent point spread function). While the statistical errors dominate the uncertainty for lower yield deuterium-tritium (DT) shots, errors due to the instrument response function dominate the uncertainty for DT yields on the order of 1016 neutrons or higher. In this work, a bootstrapping method estimates the uncertainty in a reconstructed image due to the incomplete knowledge of the instrument response function. The main reconstruction is created from the fixed collection of pinhole images that are best aligned with the neutron source. Additional reconstructions are then built using subsets of that collection of images. Variations in the shapes of these additional reconstructions originate solely from uncertainties in the instrument response function, allowing us to use them to provide an additional systematic uncertainty estimate.},
doi = {10.1063/5.0086450},
journal = {Review of Scientific Instruments},
number = 4,
volume = 93,
place = {United States},
year = {Thu Apr 21 00:00:00 EDT 2022},
month = {Thu Apr 21 00:00:00 EDT 2022}
}
Works referenced in this record:
Nuclear imaging of the fuel assembly in ignition experiments
journal, May 2013
- Grim, G. P.; Guler, N.; Merrill, F. E.
- Physics of Plasmas, Vol. 20, Issue 5
Neutron source reconstruction from pinhole imaging at National Ignition Facility
journal, February 2014
- Volegov, P.; Danly, C. R.; Fittinghoff, D. N.
- Review of Scientific Instruments, Vol. 85, Issue 2
Self characterization of a coded aperture array for neutron source imaging
journal, December 2014
- Volegov, P. L.; Danly, C. R.; Fittinghoff, D. N.
- Review of Scientific Instruments, Vol. 85, Issue 12
The National Ignition Facility
journal, December 2004
- Miller, George H.
- Optical Engineering, Vol. 43, Issue 12
A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors
journal, June 1989
- Hebert, T.; Leahy, R.
- IEEE Transactions on Medical Imaging, Vol. 8, Issue 2
Density determination of the thermonuclear fuel region in inertial confinement fusion implosions
journal, February 2020
- Volegov, P. L.; Batha, S. H.; Geppert-Kleinrath, V.
- Journal of Applied Physics, Vol. 127, Issue 8
The National Ignition Facility Neutron Imaging System
journal, October 2008
- Wilke, Mark D.; Batha, Steven H.; Bradley, Paul A.
- Review of Scientific Instruments, Vol. 79, Issue 10
Fabrication, Assembly, and Metrology of the Neutron Imaging Pinhole
journal, January 2018
- Martinez, John I.; Schmidt, Derek W.; Day, Thomas H.
- Fusion Science and Technology, Vol. 73, Issue 3
Ignition on the National Ignition Facility
journal, May 2008
- Moses, E. I.
- Journal of Physics: Conference Series, Vol. 112, Issue 1
Bootstrap Methods: Another Look at the Jackknife
journal, January 1979
- Efron, B.
- The Annals of Statistics, Vol. 7, Issue 1
Three-dimensional reconstruction of neutron, gamma-ray, and x-ray sources using a cylindrical-harmonics expansion
journal, March 2021
- Volegov, P. L.; Batha, S. H.; Fittinghoff, D. N.
- Review of Scientific Instruments, Vol. 92, Issue 3
The neutron imaging diagnostic at NIF (invited)
journal, October 2012
- Merrill, F. E.; Bower, D.; Buckles, R.
- Review of Scientific Instruments, Vol. 83, Issue 10
Simultaneous usage of pinhole and penumbral apertures for imaging small scale neutron sources from inertial confinement fusion experiments
journal, October 2012
- Guler, N.; Volegov, P.; Danly, C. R.
- Review of Scientific Instruments, Vol. 83, Issue 10
Inertially confined fusion plasmas dominated by alpha-particle self-heating
journal, April 2016
- Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
- Nature Physics, Vol. 12, Issue 8
Three-dimensional reconstruction of neutron, gamma-ray, and x-ray sources using spherical harmonic decomposition
journal, November 2017
- Volegov, P. L.; Danly, C. R.; Fittinghoff, D.
- Journal of Applied Physics, Vol. 122, Issue 17
Progress Toward Fabrication of Machined Metal Shells for the First Double-Shell Implosions at the National Ignition Facility
journal, January 2018
- Cardenas, Tana; Schmidt, Derek W.; Loomis, Eric N.
- Fusion Science and Technology, Vol. 73, Issue 3
Fluence-compensated down-scattered neutron imaging using the neutron imaging system at the National Ignition Facility
journal, August 2016
- Casey, D. T.; Volegov, P. L.; Merrill, F. E.
- Review of Scientific Instruments, Vol. 87, Issue 11
An Introduction to the Bootstrap
book, January 1993
- Efron, Bradley; Tibshirani, Robert J.
- Chapman and Hall/CRC