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Phys. Rev. E 66, 056504 (2002) [5 pages]

Generation and growth rates of nonlinear distortions in a traveling wave tube

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John G. Wöhlbier, Ian Dobson, and and John H. Booske
Department of Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin 53706

Received 9 April 2002; published 22 November 2002

The structure of a steady state multifrequency model of a traveling wave tube amplifier is exploited to describe the generation of intermodulation frequencies and calculate their growth rates. The model describes the evolution of Fourier coefficients of circuit and electron beam quantities and has the form of differential equations with quadratic nonlinearities. Intermodulation frequencies are sequentially generated by the quadratic nonlinearities in a series solution of the differential equations. A formula for maximum intermodulation growth rates is derived and compared to simulation results.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.056504
DOI:
10.1103/PhysRevE.66.056504
PACS:
52.59.Rz, 84.40.Fe, 84.47.+w, 52.35.Mw