Empirical condition of betatron resonances with space charge
نویسندگان
چکیده
منابع مشابه
Space Charge Effects - Tune Shifts and Resonances
Resonances in the Presence of the Space Charge Force . . . . . . 3.1 Equations of Motion . . . ; . . . . . . . . . . . . . . . . . 3.2 Amplitude Dependence of the Tune . . . . . . . . . . . . . 3.3 Particle Behavior under Resonance and Space Charge Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4 Resonance Phase Space Structure with No Space Charge . . 3.5 Resonance Phase Spac...
متن کاملSpace-time Resonances and the Null Condition for Wave Equations
In this note we describe a recent result obtained by the author and Shatah [26], concerning global existence and scattering for small solutions of nonlinear wave equations. Based on the analysis of space-time resonances, we formulate a very natural non-resonance condition for quadratic nonlinearities that guarantees the existence of global solutions with linear asymptotic behavior. This non-res...
متن کاملCrossing Intrinsic Depolarizing Resonances in ELSA with Pulsed Betatron Tune Jump Quadrupoles
At the electron stretcher accelerator ELSA of Bonn University an external fixed target experiment using a polarized electron beam has been started. To provide a polarized beam with sufficient intensity a dedicated source for polarized electrons is used (with a GaAs-AlGaAs superlattice photocathode). To prevent depolarization during acceleration in the circular accelerators several depolarizing ...
متن کاملSpace-time resonances
This article is a short exposition of the space-time resonances method. It was introduced by Masmoudi, Shatah, and the author, in order to understand global existence for nonlinear dispersive equations, set in the whole space, and with small data. The idea is to combine the classical concept of resonances, with the feature of dispersive equations: wave packets propagate at a group velocity whic...
متن کاملMeasurement of Space Charge Driven Resonances in the UNILAC Alvarez DTL
Last years experiments aimed to the investigation of resonant transverse emittance growth for high intensity beams. The driving force is the self field of the beam's space charge. The first resonance is driven by similar beam envelope phase advances in the transverse and longitudinal dimension [1]. First theoretical investigations date back to 1992 and avoiding this resonance is a design rule f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Accelerators and Beams
سال: 2019
ISSN: 2469-9888
DOI: 10.1103/physrevaccelbeams.22.074201