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Title: Deconvolution of Stark broadened spectra for multi-point density measurements in a flow Z-pinch

Abstract

Stark broadened emission spectra, once separated from other broadening effects, provide a convenient non-perturbing means of making plasma density measurements. A deconvolution technique has been developed to measure plasma densities in the ZaP flow Z-pinch experiment. The ZaP experiment uses sheared flow to mitigate MHD instabilities. The pinches exhibit Stark broadened emission spectra, which are captured at 20 locations using a multi-chord spectroscopic system. Spectra that are time- and chord-integrated are well approximated by a Voigt function. The proposed method simultaneously resolves plasma electron density and ion temperature by deconvolving the spectral Voigt profile into constituent functions: a Gaussian function associated with instrument effects and Doppler broadening by temperature; and a Lorentzian function associated with Stark broadening by electron density. The method uses analytic Fourier transforms of the constituent functions to fit the Voigt profile in the Fourier domain. The method is discussed and compared to a basic least-squares fit. The Fourier transform fitting routine requires fewer fitting parameters and shows promise in being less susceptible to instrumental noise and to contamination from neighboring spectral lines. The method is evaluated and tested using simulated lines and is applied to experimental data for the 229.69 nm C III line from multiplemore » chords to determine plasma density and temperature across the diameter of the pinch. These measurements are used to gain a better understanding of Z-pinch equilibria.« less

Authors:
 [1];  [2]
  1. Applied Science and Technology Program, University of California, Berkeley, California 94720 (United States)
  2. Aerospace and Energetics Research Program, University of Washington, Seattle, Washington 98195-2250 (United States)
Publication Date:
OSTI Identifier:
22063730
Resource Type:
Journal Article
Journal Name:
Review of Scientific Instruments
Additional Journal Information:
Journal Volume: 82; Journal Issue: 10; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0034-6748
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DOPPLER BROADENING; ELECTRON DENSITY; EMISSION SPECTRA; EXPERIMENTAL DATA; FOURIER TRANSFORMATION; GAUSS FUNCTION; ION TEMPERATURE; LEAST SQUARE FIT; LINEAR Z PINCH DEVICES; LORENTZ TRANSFORMATIONS; MAGNETOHYDRODYNAMICS; PLASMA DENSITY; PLASMA INSTABILITY; STARK EFFECT; VOIGT EFFECT

Citation Formats

Vogman, G V, and Shumlak, U. Deconvolution of Stark broadened spectra for multi-point density measurements in a flow Z-pinch. United States: N. p., 2011. Web. doi:10.1063/1.3647975.
Vogman, G V, & Shumlak, U. Deconvolution of Stark broadened spectra for multi-point density measurements in a flow Z-pinch. United States. https://doi.org/10.1063/1.3647975
Vogman, G V, and Shumlak, U. 2011. "Deconvolution of Stark broadened spectra for multi-point density measurements in a flow Z-pinch". United States. https://doi.org/10.1063/1.3647975.
@article{osti_22063730,
title = {Deconvolution of Stark broadened spectra for multi-point density measurements in a flow Z-pinch},
author = {Vogman, G V and Shumlak, U},
abstractNote = {Stark broadened emission spectra, once separated from other broadening effects, provide a convenient non-perturbing means of making plasma density measurements. A deconvolution technique has been developed to measure plasma densities in the ZaP flow Z-pinch experiment. The ZaP experiment uses sheared flow to mitigate MHD instabilities. The pinches exhibit Stark broadened emission spectra, which are captured at 20 locations using a multi-chord spectroscopic system. Spectra that are time- and chord-integrated are well approximated by a Voigt function. The proposed method simultaneously resolves plasma electron density and ion temperature by deconvolving the spectral Voigt profile into constituent functions: a Gaussian function associated with instrument effects and Doppler broadening by temperature; and a Lorentzian function associated with Stark broadening by electron density. The method uses analytic Fourier transforms of the constituent functions to fit the Voigt profile in the Fourier domain. The method is discussed and compared to a basic least-squares fit. The Fourier transform fitting routine requires fewer fitting parameters and shows promise in being less susceptible to instrumental noise and to contamination from neighboring spectral lines. The method is evaluated and tested using simulated lines and is applied to experimental data for the 229.69 nm C III line from multiple chords to determine plasma density and temperature across the diameter of the pinch. These measurements are used to gain a better understanding of Z-pinch equilibria.},
doi = {10.1063/1.3647975},
url = {https://www.osti.gov/biblio/22063730}, journal = {Review of Scientific Instruments},
issn = {0034-6748},
number = 10,
volume = 82,
place = {United States},
year = {2011},
month = {10}
}