Linear theory of instabilities generated by an electron beam in a metamaterial-loaded waveguide

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

doi:10.1063/1.5087587

Linear theory of instabilities generated by an electron beam in a metamaterial-loaded waveguide

Journal Article · Thu Mar 07 00:00:00 EST 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5087587· OSTI ID:1593910

^[1]; Shapiro, Michael A. ^[2]; ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); MIT
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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 a lower magnetic field and the Cherenkov instability at a higher magnetic field. The theoretical results are compared to results from recent experiments at MIT using a 490 kV, 84A electron beam in magnetic fields of 300G to 1500 G. For an effective medium model fitted to the MIT experimental parameters, theory predicts that the Cherenkov-cyclotron mode will dominate below 780G 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 fields.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: US Air Force Office of Scientific Research (AFOSR); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0015566

OSTI ID:: 1593910

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 26; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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