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Brainerd, A.E.

Paper Title Page
WE6RFP080 Small-SIgnal Theory of Space-Charge Waves on Relativistic Elliptic Electron Beams 2983
 
  • C. Chen, A.E. Brainerd, J.Z. Zhou
    MIT/PSFC, Cambridge, Massachusetts
 
 

Funding: This work was supported by the Department of Energy, Grant No. DE-FG02-95ER40919 and the Air Force Office of Scientific Research, Grant No. FA9550-06-1-0269.


Relativistic elliptic electron beams have applications in the research and development of a new class of elliptic- or sheet-beam klystrons which have the potential to outperform conventional klystrons in terms of power, efficiency, and operating voltage. This paper reports on results of a small-signal analysis of space-charge waves on a relativistic elliptic electron beam in a perfectly-conducting beam tunnel. A dispersion relation is derived. A computer code is developed and used in studies of the dispersion characteristics of various relativistic elliptic electron beams.