Haissinski distribution
WebThe well-known Haissinski distribution provides a stable equilibrium of longitudinal beam distribution in electron storage rings below a threshold current. Yet, how to accurately determine this threshold, above which the Haissinski distribution becomes unstable, is not firmly established in theory. In this paper, we will show how to apply the ... Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆
Haissinski distribution
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WebJul 6, 2011 · The well-known Haissinski distribution provides a stable equilibrium of longitudinal beam distribution in electron storage rings below a threshold current. Yet, … WebThe U.S. Department of Energy's Office of Scientific and Technical Information
WebApr 1, 2016 · PWD effects the equilibrium charge distribution of a bunch, and the deformed charge distribution inside the bunch can be obtained by solving the Haissinski equation [1]. Several authors have given numerical and analytical solutions of this PWD equation for different longitudinal coupling impedances [2], [3], [4]. WebFeb 11, 2008 · The longitudinal equilibrium distribution of electrons stored in a ring is computed in the general case of a nonlinear accelerating field. From this is derived an …
WebHeifets, S. A. Stability of the steady-state bunch distribution described by the Haissinski solution [J. Haissinski, Nuovo Cimento 18B, 72 (1973)] is studied above the threshold of microwave instability. It is shown that instability may lead to a new self-consistent state corresponding to particles trapped in a separatrix of an unstable mode. WebApr 1, 2016 · The Haissinski equation [1] is used describes the equilibrium longitudinal particle distribution within a bunch in the presence of an arbitrary longitudinal wakefield. In an electron machine, beam current distribution below the turbulent threshold is given as follows (2) I (t) = K ⋅ exp (− t 2 2 σ zo 2 + ∫ 0 t V ind. (t ′) d t ′ V ...
Webticles distribution in a bunch. In the conventional analytic approach one assumes that the source of the wake force is uniformly distributed along the ring, and the equilib-rium bunch distribution at low current is a solution of the Haissinski equation, the so-called Potential Well Distor-tion (PWD) equation. A linear stability analysis around
WebJan 1, 1999 · The Haissinski equation, accounting for the static distri- bution of an electron beam circulating in a Storage-Ring and subject to a purely inductive field has an … refurb s10WebThe static solution of the Fokker-Planck equation, known as the Haissinski equation and governing the longitudinal evolution of an electron beam moving in a Storage-Ring which is subject to an inductive wake field, can be expressed in an … refurb ryobi toolsWebthe Haissinski distribution and then analyze the linearized Vlasov equation for the perturbation. This leads to an set of integral equations[11, 12]. Sacherer Integral Equation refurb s21WebAug 1, 2024 · In the potential well distortion (PWD) regime at the equilibrium state, it is more simple and convenient to solve the Haïssinski equation [6], which gives the relationship … refurb s8WebThe well-known Haissinski distribution provides a stable equilibrium of longitudinal beam distribution in electron storage rings below a threshold current. Yet, how to accurately determine this threshold, above which the Haissinski distribution becomes unstable, is not firmly established in theory. In this paper, we will show how to apply the Laguerre … refurb small form pcWebDec 7, 2024 · Karl Bane Abstract and Figures The longitudinal charge density of an electron beam in its equilibrium state is given by the solution of the Haïssinski equation, which provides a stationary solution... refurb s20WebAug 1, 2024 · In the potential well distortion (PWD) regime at the equilibrium state, it is more simple and convenient to solve the Haïssinski equation [6], which gives the relationship between the beam distributions and the total potential directly. refurb riding lawn mowers