Open AccessDAMPED MOTION OF AN ELECTRON IN FREE-ELECTRON LASER
Author(s) -
Li Zhi-Kuan
Publication year - 2000
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.49.893
Subject(s) - physics , simple (philosophy) , electron , laser , pendulum , function (biology) , term (time) , free electron model , classical mechanics , equations of motion , free electron laser , quantum mechanics , philosophy , epistemology , evolutionary biology , biology
In this paper a simple pendulum equation with damping term is found for a free-electron laser. The equation is solved by using iteration in small signal regime and the formula of the gain function obtained corresponds to the iteration solution. Particularly, the simplified formulae are also derived of the gain function in both weak damping and overdamping regimes in free-electron lasers, and the origin and the physical meaning of the damping term in the simple pendulum equation are discussed in detail.