Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide

Lu, Xueying; Shapiro, Michael A.; Temkin, Richard J.

doi:10.7910/DVN/MBSWTT

Title: Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide

Abstract

We present the linear theory of the starting current of Cherenkov-cyclotron and Cherenkov instabilities generated by an electron beam passing through a metamaterial-loaded waveguide. Effective medium theory is used to represent the metamaterial structure properties. The theory predicts that the instabilities compete, with the Cherenkov-cyclotron mode dominating at lower magnetic ﬁeld and the Cherenkov instability at higher magnetic ﬁeld. The theoretical results are compared to results from recent experiments at MIT using a 490 kV, 84 A electron beam in magnetic ﬁelds of 300 G to 1500 G. For an effective medium model ﬁtted to the MIT experimental parameters, theory predicts that the Cherenkov-cyclotron mode will dominate below 780 G and the Cherenkov mode above 780 G, in good agreement with experimental observations of switching between these modes at 750 G. The analytical theory allows a better understanding of the mode competition and the dependence of the instabilities on key parameters such as voltage, current and magnetic ﬁeld.

Authors:: Lu, Xueying; Shapiro, Michael A.; Temkin, Richard J.

Publication Date:: 2019-02-21

DOE Contract Number:: SC0015566

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1881279

DOI:: https://doi.org/10.7910/DVN/MBSWTT

Citation Formats


                    Lu, Xueying, Shapiro, Michael A., and Temkin, Richard J. Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide.  United States: N. p., 2019. 
        Web.  doi:10.7910/DVN/MBSWTT.

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                    Lu, Xueying, Shapiro, Michael A., & Temkin, Richard J. Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide.  United States.  doi:https://doi.org/10.7910/DVN/MBSWTT

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                    Lu, Xueying, Shapiro, Michael A., and Temkin, Richard J. 2019.  
"Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide".  United States.  doi:https://doi.org/10.7910/DVN/MBSWTT.  https://www.osti.gov/servlets/purl/1881279. Pub date:Thu Feb 21 00:00:00 EST 2019

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@article{osti_1881279,

  title        = {Linear Theory of Instabilities Generated by an Electron Beam in a Metamaterial-Loaded Waveguide},

  author       = {Lu, Xueying and Shapiro, Michael A. and Temkin, Richard J.},

  abstractNote = {We present the linear theory of the starting current of Cherenkov-cyclotron and Cherenkov instabilities generated by an electron beam passing through a metamaterial-loaded waveguide. Effective medium theory is used to represent the metamaterial structure properties. The theory predicts that the instabilities compete, with the Cherenkov-cyclotron mode dominating at lower magnetic ﬁeld and the Cherenkov instability at higher magnetic ﬁeld. The theoretical results are compared to results from recent experiments at MIT using a 490 kV, 84 A electron beam in magnetic ﬁelds of 300 G to 1500 G. For an effective medium model ﬁtted to the MIT experimental parameters, theory predicts that the Cherenkov-cyclotron mode will dominate below 780 G and the Cherenkov mode above 780 G, in good agreement with experimental observations of switching between these modes at 750 G. The analytical theory allows a better understanding of the mode competition and the dependence of the instabilities on key parameters such as voltage, current and magnetic ﬁeld.},

  doi          = {10.7910/DVN/MBSWTT},

  journal      = {},

  number       = ,

  volume       = ,

  place        = {United States},

  year         = {2019},

  month        = {2}

}

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