Small-Signal Model for Inhomogeneous Helix Traveling-Wave Tubes using Transfer Matrices

SIGNAL (programming language) Helix (gastropod) Transfer matrix Traveling-wave tube
DOI: 10.48550/arxiv.2405.07956 Publication Date: 2024-05-13
ABSTRACT
We introduce a practical method for modeling the small-signal behavior of dispersive and inhomogeneous helix-type traveling-wave tube (TWT) amplifiers based on generalization one-dimensional Pierce model. Our model is applicable to both single-stage multi-stage TWTs. Like model, we assume that electrons flow linearly in one direction, parallel proximity slow-wave structure (SWS) which guides single dominant electromagnetic mode. Realistic helix TWTs are modeled with position dependent frequency-dependent SWS characteristics, such as loss, phase velocity, plasma frequency reduction factor, interaction impedance. For TWT, provide simple lumped element circuit combining stages separated by sever, or gap, attenuates guided mode while allowing space-charge wave beam pass freely next stage. The characteristics accounted using full-wave eigenmode simulations realistic supported dielectric rods metal barrel, all contribute distributed loss. compare our computed gain vs frequency, transfer matrices, results found through particle-in-cell (PIC) 1D TWT code LATTE demonstrate accuracy Furthermore, ability reproduce ripple due mismatches at input output ports TWT.
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