Open AccessThe calculation model of space-charge field based on the Galerkin series
Author(s) -
Huang Chuan-Lu,
Yaogen Ding,
Yong Wang,
Xie Xingjuan,
Dayong Gao
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.148401
Subject(s) - galerkin method , space charge , field (mathematics) , klystron , physics , series (stratigraphy) , charge (physics) , beam (structure) , space (punctuation) , computational physics , electron , finite element method , mathematics , quantum mechanics , computer science , optics , paleontology , biology , pure mathematics , thermodynamics , operating system
In this paper, we present a model of calculating the electron beam space-charge field using the partial Galerkin moments method. The space-charge field can be expanded as a series of different modes and thus using the Galerkin series. So, the space-charge field can be obtained finally through the solving the Galerkin coefficient equations set. A 2.5-dimensinal computer program of the beam-wave interaction in a klystron is compiled based on this model. Using the results from the program, the characteristic of the beam space-charge field is analyzed and the effects of the parameter in the simulation on the calculation result of the space-charge field are studied. This model uses the particle in cell method and it can be used in the 2- or 3-dimensional calculation model of the beam-wave interaction in a klystron.