The Traveling Wave Tubes (TWT) is a powerful vacuum electronic
device used to amplify radio-frequency (RF) signals as well as
numerous applications such as radar, television and telephone
satellite communications. This monograph is devoted to the author's
original theoretical developments in the theory of a traveling wave
tube (TWT).Most of the monograph is the author's original work on
an analytical theory of TWTs. It is a constructive Lagrangian field
theory of TWT in which the electron beam (e-beam) is represented by
one-dimensional multi-stream electron flow and the guiding
slow-wave structure is represented by possibly non-uniform
multi-transmission line (MTL). The proposed analytic theory
accounts for a number of electron plasma phenomena including
space-charge effects such as electron-to-electron repulsion
(debunching), convective instabilities, wave-particle interaction,
amplifying waves and more. It allows, in particular, to (i)
identify origins of the wave-particle interaction and the system
convective instability (exponential growth); (ii) evaluate the
energy transfer rate from the e-beam to the electromagnetic
radiation; (iii) identify instability modal branches which under
condition of sufficiently strong coupling between the e-beam and
the MTL can cover ideally all frequencies.
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