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Title: Tomographic analysis of tangential viewing cameras (invited)

Abstract

Many tokamaks now use visible light cameras to observe plasma-wall interactions and integrated line emission. The DIII-D coherence imaging spectroscopy diagnostic cameras image interferograms that encode line integrated velocity. By modeling the 2D camera image pixels as line of sight integrals through an axisymmetric discrete grid, it is possible to do tomographic analysis to determine the local plasma line emissivity and parallel velocity. Approaches to solve the inverse problem posed by these tangential viewing cameras are presented. The inversion begins with calculation of the sparse response matrix that encompasses all the geometry and diagnostic information and reduces the process of image formation to a sparse matrix-vector multiply. Our report includes techniques for determining the detailed geometry of the camera views and methods for handling physical quantities that vary spatially. Additionally, the size of the response matrix has driven the development of capability to distribute the coarse parallel calculation across a heterogeneous cluster of computers on the Energy Sciences Network. Iterative techniques are then used to solve the sparse matrix-vector linear system

Authors:
 [1];  [1]; ORCiD logo [1];  [1]
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  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1545488
Alternate Identifier(s):
OSTI ID: 1476380
Grant/Contract Number:  
AC52-07NA27344; FC02-04ER54698
Resource Type:
Accepted Manuscript
Journal Name:
Review of Scientific Instruments
Additional Journal Information:
Journal Volume: 89; Journal Issue: 10; Conference: 22. Proceedings of the Topical Conference on High-Temperature Plasma Diagnostics, San Diego, CA (United States), Apr 2018; Journal ID: ISSN 0034-6748
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION

Citation Formats

Meyer, W. H., Allen, S. L., Samuell, C. M., and Fenstermacher, M. E. Tomographic analysis of tangential viewing cameras (invited). United States: N. p., 2018. Web. doi:10.1063/1.5038586.
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Meyer, W. H., Allen, S. L., Samuell, C. M., & Fenstermacher, M. E. Tomographic analysis of tangential viewing cameras (invited). United States. https://doi.org/10.1063/1.5038586
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Meyer, W. H., Allen, S. L., Samuell, C. M., and Fenstermacher, M. E. Fri . "Tomographic analysis of tangential viewing cameras (invited)". United States. https://doi.org/10.1063/1.5038586. https://www.osti.gov/servlets/purl/1545488.
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@article{osti_1545488,
title = {Tomographic analysis of tangential viewing cameras (invited)},
author = {Meyer, W. H. and Allen, S. L. and Samuell, C. M. and Fenstermacher, M. E.},
abstractNote = {Many tokamaks now use visible light cameras to observe plasma-wall interactions and integrated line emission. The DIII-D coherence imaging spectroscopy diagnostic cameras image interferograms that encode line integrated velocity. By modeling the 2D camera image pixels as line of sight integrals through an axisymmetric discrete grid, it is possible to do tomographic analysis to determine the local plasma line emissivity and parallel velocity. Approaches to solve the inverse problem posed by these tangential viewing cameras are presented. The inversion begins with calculation of the sparse response matrix that encompasses all the geometry and diagnostic information and reduces the process of image formation to a sparse matrix-vector multiply. Our report includes techniques for determining the detailed geometry of the camera views and methods for handling physical quantities that vary spatially. Additionally, the size of the response matrix has driven the development of capability to distribute the coarse parallel calculation across a heterogeneous cluster of computers on the Energy Sciences Network. Iterative techniques are then used to solve the sparse matrix-vector linear system},
doi = {10.1063/1.5038586},
journal = {Review of Scientific Instruments},
number = 10,
volume = 89,
place = {United States},
year = {Fri Oct 05 00:00:00 EDT 2018},
month = {Fri Oct 05 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/1.5038586
Copyright Statement
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Figures / Tables:

FIG. 1 FIG. 1: Chord geometry of the DⅢ-D bolometer arrays (a) and a subset (1:104) of the Coherence Imaging Spectroscopy (CIS) camera pixels (b). Impact parameter plots of the bolometer arrays (c) and a subset (1:400) of CIS pixels (d); green trace is the grid boundary.
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Works referenced in this record:

Soft x‐ray tomography diagnostic for the Alcator C tokamak
journal, March 1986

  • Camacho, J. F.; Granetz, R. S.
  • Review of Scientific Instruments, Vol. 57, Issue 3
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2D tomography with bolometry in DIII‐D a)
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Optical coherence techniques for plasma spectroscopy (invited)
journal, January 2001

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  • Review of Scientific Instruments, Vol. 72, Issue 1
  • DOI: 10.1063/1.1326901

Learning representations by back-propagating errors
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  • Nature, Vol. 323, Issue 6088
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A tangentially viewing visible TV system for the DIII-D divertor
journal, January 1997

  • Fenstermacher, M. E.; Meyer, W. H.; Wood, R. D.
  • Review of Scientific Instruments, Vol. 68, Issue 1
  • DOI: 10.1063/1.1147729

Soft-X-ray tomography on Alcator C
journal, June 1985

Absolute calibration of Doppler coherence imaging velocity images
journal, August 2017

Tomography of m =1 mode structure in tokamak plasma using least‐square‐fitting method and Fourier–Bessel expansions
journal, October 1987

  • Nagayama, Yoshio
  • Journal of Applied Physics, Vol. 62, Issue 7
  • DOI: 10.1063/1.339420
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    Figures / Tables found in this record:

    FIG. 1 (p. 3)figure
    FIG. 2 (p. 3)figure
    FIG. 3 (p. 4)figure
    FIG. 4 (p. 4)figure
    FIG. 5 (p. 4)figure
    FIG. 6 (p. 6)figure
    FIG. 7 (p. 6)figure
    FIG. 8 (p. 7)figure
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