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Published March 1959 | Published
Journal Article Open

Traveling-Wave Couplers for Longitudinal Beam-Type Amplifiers

Gould, Roy W.

Abstract

The equations governing traveling-wave interaction between an electron beam and a slow-wave circuit are formulated in terms of amplitudes of circuit mode and slow and fast space charge modes. The resulting equations are solved to find expressions for the matrix which relates the mode amplitudes at the output of the traveling-wave coupler to the mode amplitudes at the input. The properties of this matrix are discussed and numerical values given for Kompfner Dip. Matrices for velocity jumps and drift regions are also given, and the characteristics of couplers which are preceded by or followed by a drift region and velocity jump are discussed. It is shown that necessary and sufficient conditions for the removal of beam noise from the fast space-charge wave by any lossless coupler are that, for a circuit input, there be no circuit output (M₁₁ = 0) and no slow space-charge wave output (M₂₁ = 0). These results are then applied to the design of fast space-charge wave couplers for longitudinal beam type parametric amplifiers.

Additional Information

© 1959 Institute of Radio Engineers. Reprinted with permission. Original manuscript received by the IRE, August 25, 1958; revised manuscript received, December 19, 1958. The research on microwave electronics was supported by the Office of Naval Research and the Sperry Rand Corporation. The author wishes to express his sincere appreciation to D.C. Forster for several illuminating discussions of this problem, to K. Hebert for writing the program for machine computation of the matrix elements, and to K. Lock for obtaining the differential analyzer solutions.

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August 21, 2023
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