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Title: Discrete helical modes in imploding and exploding cylindrical, magnetized liners

Abstract

Discrete helical modes have been experimentally observed from implosion to explosion in cylindrical, axially magnetized ultrathin foils (Bz = 0.2 - 2.0 T) using visible self-emission and laser shadowgraphy. The striation angle of the helices, phi, was found to increase during the implosion and decrease during the explosion, despite the large azimuthal magnetic field (>40 T). Here, these helical striations are interpreted as discrete, non-axisymmetric eigenmodes that persist from implosion to explosion, obeying the simple relation $$\phi$$ = m/kR, where m, k, and R are the azimuthal mode number, axial wavenumber, and radius, respectively. Experimentally, we found that (a) there is only one, or at the most two, dominant unstable eigenmode, (b) there does not appear to be a sharp threshold on the axial magnetic field for the emergence of the non-axisymmetric helical modes, and (c) higher axial magnetic fields yield higher azimuthal modes.

Authors:
 [1];  [1]; ORCiD logo [1]; ORCiD logo [1];  [1];  [1]; ORCiD logo [1]
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  1. Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Nuclear Engineering and Radiological Sciences
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Nuclear Engineering and Radiological Sciences
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR)
OSTI Identifier:
1465361
Alternate Identifier(s):
OSTI ID: 1334553
Grant/Contract Number:  
SC0012328; DGE 1256260; FA9550-15-1-0419
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 12; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Yager-Elorriaga, D. A., Zhang, P., Steiner, A. M., Jordan, N. M., Campbell, P. C., Lau, Y. Y., and Gilgenbach, R. M. Discrete helical modes in imploding and exploding cylindrical, magnetized liners. United States: N. p., 2016. Web. doi:10.1063/1.4969082.
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Yager-Elorriaga, D. A., Zhang, P., Steiner, A. M., Jordan, N. M., Campbell, P. C., Lau, Y. Y., & Gilgenbach, R. M. Discrete helical modes in imploding and exploding cylindrical, magnetized liners. United States. https://doi.org/10.1063/1.4969082
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Yager-Elorriaga, D. A., Zhang, P., Steiner, A. M., Jordan, N. M., Campbell, P. C., Lau, Y. Y., and Gilgenbach, R. M. Tue . "Discrete helical modes in imploding and exploding cylindrical, magnetized liners". United States. https://doi.org/10.1063/1.4969082. https://www.osti.gov/servlets/purl/1465361.
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@article{osti_1465361,
title = {Discrete helical modes in imploding and exploding cylindrical, magnetized liners},
author = {Yager-Elorriaga, D. A. and Zhang, P. and Steiner, A. M. and Jordan, N. M. and Campbell, P. C. and Lau, Y. Y. and Gilgenbach, R. M.},
abstractNote = {Discrete helical modes have been experimentally observed from implosion to explosion in cylindrical, axially magnetized ultrathin foils (Bz = 0.2 - 2.0 T) using visible self-emission and laser shadowgraphy. The striation angle of the helices, phi, was found to increase during the implosion and decrease during the explosion, despite the large azimuthal magnetic field (>40 T). Here, these helical striations are interpreted as discrete, non-axisymmetric eigenmodes that persist from implosion to explosion, obeying the simple relation $\phi$ = m/kR, where m, k, and R are the azimuthal mode number, axial wavenumber, and radius, respectively. Experimentally, we found that (a) there is only one, or at the most two, dominant unstable eigenmode, (b) there does not appear to be a sharp threshold on the axial magnetic field for the emergence of the non-axisymmetric helical modes, and (c) higher axial magnetic fields yield higher azimuthal modes.},
doi = {10.1063/1.4969082},
journal = {Physics of Plasmas},
number = 12,
volume = 23,
place = {United States},
year = {Tue Dec 06 00:00:00 EST 2016},
month = {Tue Dec 06 00:00:00 EST 2016}
}
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Publisher's Version of Record
https://doi.org/10.1063/1.4969082
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Works referenced in this record:

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journal, November 2015

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Seeded and unseeded helical modes in magnetized, non-imploding cylindrical liner-plasmas
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Dynamics of galaxies
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    Works referencing / citing this record:

    The electro-thermal stability of tantalum relative to aluminum and titanium in cylindrical liner ablation experiments at 550 kA
    journal, March 2018

    • Steiner, Adam M.; Campbell, Paul C.; Yager-Elorriaga, David A.
    • Physics of Plasmas, Vol. 25, Issue 3
    • DOI: 10.1063/1.5012891

    Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch
    journal, May 2018

    • Yager-Elorriaga, D. A.; Lau, Y. Y.; Zhang, P.
    • Physics of Plasmas, Vol. 25, Issue 5
    • DOI: 10.1063/1.5017849

    Researches on preconditioned wire array Z pinches in Xi’an Jiaotong University
    journal, May 2019

    • Wu, Jian; Lu, Yihan; Sun, Fengju
    • Matter and Radiation at Extremes, Vol. 4, Issue 3
    • DOI: 10.1063/1.5087265

    The influence of the solid to plasma phase transition on the generation of plasma instabilities
    journal, November 2017

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