Soft x-ray spectrum unfold of K-edge filtered x-ray diode arrays using cubic splines

Barnak, D. H.; Davies, J. R.; Knauer, J. P.; Kozlowski, P. M.

doi:10.1063/5.0002856

Soft x-ray spectrum unfold of K-edge filtered x-ray diode arrays using cubic splines

Journal Article · Thu Jul 02 00:00:00 EDT 2020 · Review of Scientific Instruments

DOI:https://doi.org/10.1063/5.0002856· OSTI ID:1642075

^[1]; ^[2]; Knauer, J. P. ^[2]; ^[3]

Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Laboratory for Laser Energetics, University of Rochester
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Cubic spline interpolation is able to recover temporally and spectrally resolved soft x-ray flux from an array of K-edge filtered x-ray diodes without the need for a priori assumptions about the spectrum or the geometry of the emitting volume. The mathematics of the cubic spline interpolation is discussed in detail. The analytic nature of the cubic spline solution allows for analytical error propagation, and the method of calculating the error for radiation temperature, spectral power, and confidence intervals of the unfolded spectrally resolved flux is explained. An unfold of a blackbody model demonstrates the accuracy of the cubic spline unfold. Tests of cubic spline performance using spectrally convolved detailed atomic model simulation results have been performed to measure the method's ability to conserve spectral power to within a factor of 2 or better in line-dominated regimes. The unfold is also demonstrated to work when information from the x-ray diode array is limited due to high signal-to-noise ratios or lack of signal due to over-attenuation or over-filtration of the x-ray diode signal. Here, the robustness of the unfold with respect to background subtraction and raw signal processing, signal alignment between diode traces, limited signal information, and initial conditions is discussed. Results from an example analysis of a halfraum drive are presented to demonstrate the capabilities of the unfold in comparison with previously established methods.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE National Nuclear Security Administration (NNSA)

Contributing Organization:: Laboratory for Laser Energetics, University of Rochester

Grant/Contract Number:: NA0003856; AR0000568; 89233218CNA000001; FC52-08NA28302

OSTI ID:: 1642075

Alternate ID(s):: OSTI ID: 1716804
OSTI ID: 1635738

Report Number(s):: 2020-5; 1577; 2532; 2020-5, 2532, 1577

Journal Information:: Review of Scientific Instruments, Journal Name: Review of Scientific Instruments Journal Issue: 7 Vol. 91; ISSN 0034-6748

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (16)

SPECT3D – A multi-dimensional collisional-radiative code for generating diagnostic signatures based on hydrodynamics and PIC simulation output MacFarlane, J. J.; Golovkin, I. E.; Wang, P. High Energy Density Physics, Vol. 3, Issue 1-2 https://doi.org/10.1016/j.hedp.2007.02.016	journal	May 2007
Propagation of errors for matrix inversion Lefebvre, M.; Keeler, R. K.; Sobie, R. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 451, Issue 2 https://doi.org/10.1016/s0168-9002(00)00323-5	journal	September 2000
Verification of unfold error estimates in the unfold operator code Fehl, D. L.; Biggs, F. Review of Scientific Instruments, Vol. 68, Issue 1 https://doi.org/10.1063/1.1147713	journal	January 1997
Spectral resolution for a five-element, filtered, x-ray detector array using the method of Backus and Gilbert Fehl, D. L.; Biggs, F.; Chandler, G. A. Review of Scientific Instruments, Vol. 71, Issue 8 https://doi.org/10.1063/1.1304869	journal	August 2000
DMX: An absolutely calibrated time-resolved broadband soft x-ray spectrometer designed for MJ class laser-produced plasmas (invited) Bourgade, J. L.; Villette, B.; Bocher, J. L. Review of Scientific Instruments, Vol. 72, Issue 1 https://doi.org/10.1063/1.1324744	journal	January 2001
Temporal and spectral deconvolution of data from diamond, photoconductive devices Knauer, J. P.; Gindele, N. C. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1785274	journal	October 2004
Dante soft x-ray power diagnostic for National Ignition Facility Dewald, E. L.; Campbell, K. M.; Turner, R. E. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1788872	journal	October 2004
Omega Dante soft x-ray power diagnostic component calibration at the National Synchrotron Light Source Campbell, K. M.; Weber, F. A.; Dewald, E. L. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1789603	journal	October 2004
Soft x-ray power diagnostic improvements at the Omega Laser Facility Sorce, C.; Schein, J.; Weber, F. Review of Scientific Instruments, Vol. 77, Issue 10 https://doi.org/10.1063/1.2336462	journal	October 2006
Different methods of reconstructing spectra from filtered x-ray diode measurements Seifter, Achim; Kyrala, George A. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.2957935	journal	October 2008
Investigation of spectra unfolded for a filtered x-ray diode array with improved smoothness Pu, Yi-Kang Review of Scientific Instruments, Vol. 80, Issue 6 https://doi.org/10.1063/1.3157042	journal	June 2009
Uncertainty analysis technique for OMEGA Dante measurements May, M. J.; Widmann, K.; Sorce, C. Review of Scientific Instruments, Vol. 81, Issue 10 https://doi.org/10.1063/1.3475385	journal	October 2010
Source geometric considerations for OMEGA Dante measurements May, M. J.; Patterson, J. R.; Sorce, C. Review of Scientific Instruments, Vol. 83, Issue 10 https://doi.org/10.1063/1.4734041	journal	October 2012
Radiation transport and energetics of laser-driven half-hohlraums at the National Ignition Facility Moore, A. S.; Cooper, A. B. R.; Schneider, M. B. Physics of Plasmas, Vol. 21, Issue 6 https://doi.org/10.1063/1.4880558	journal	June 2014
Use of a priori spectral information in the measurement of x-ray flux with filtered diode arrays Marrs, R. E.; Widmann, K.; Brown, G. V. Review of Scientific Instruments, Vol. 86, Issue 10 https://doi.org/10.1063/1.4934542	journal	October 2015
Understanding reconstructed Dante spectra using high resolution spectroscopy May, M. J.; Weaver, J.; Widmann, K. Review of Scientific Instruments, Vol. 87, Issue 11 https://doi.org/10.1063/1.4961267	journal	August 2016

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