DocumentCode :
60757
Title :
Extension of the Pierce Model to Multiple Transmission Lines Interacting With an Electron Beam
Author :
Tamma, Venkata Ananth ; Capolino, Filippo
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Irvine, Irvine, CA, USA
Volume :
42
Issue :
4
fYear :
2014
fDate :
Apr-14
Firstpage :
899
Lastpage :
910
Abstract :
A possible route toward achieving high-power microwave (HPM) devices is through the use of novel slow-wave structures, represented by multiple coupled transmission lines (MTLs), and whose behavior when coupled to electron beams has not been sufficiently explored. We present the extension of the 1-D linearized Pierce theory to MTLs coupled to a single electron beam. We develop multiple formalisms to calculate the k-ω dispersion relation of the system and find that the existence of a growing wave solution is always guaranteed if the electron propagation constant is larger than or equal to the largest propagation constant of the MTL system. We verify our findings with illustrative examples that bring to light unique properties of the system in which growing waves were found to exist within finite bands of the electron propagation constant and also present possible means to improve the gain. By treating the beam-MTL interaction as distributed dependent current generators in the MTL, we derive relations characterizing the power flux and energy exchange between the beam and the MTLs. For the growing wave, we show that the beam always behaves as an energy source causing power flux along the transmission lines. The theory developed in this paper is the basis for the possible use of degenerate band edges in periodic MTL systems for HPM amplifiers.
Keywords :
electron beams; microwave amplifiers; slow wave structures; transmission lines; 1-D linearized Pierce theory; HPM amplifiers; distributed dependent current generators; electron beam; electron propagation constant; energy exchange; high-power microwave devices; multiple transmission lines; power flux; slow-wave structures; Analytical models; Dispersion; Electron beams; Equations; Generators; Mathematical model; Propagation constant; Coupled transmission lines; Pierce model; high-power microwaves (HPMs); multiple transmission lines; traveling-wave tubes (TWTs); traveling-wave tubes (TWTs).;
fLanguage :
English
Journal_Title :
Plasma Science, IEEE Transactions on
Publisher :
ieee
ISSN :
0093-3813
Type :
jour
DOI :
10.1109/TPS.2014.2308575
Filename :
6782393
Link To Document :
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