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TUB1TU01 |
A Discussion on Phase Space and Beam Emittance |
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- R. Li, C. Tennant
JLab, Newport News, Virginia, USA
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The use of the term 'beam emittance' as a description of beam performance often has a contextual meaning, which may not be obvious to the reader. This tutorial presents a general discussion on the topic of beam emittance to differentiate between the various descriptions and definitions and where they are best applied. The tutorial begins with an overview of Hamiltonian dynamics and Liouville's Theorm to define the beam emittance based on canonical coordinates. The goal in accelerators is often to preserve the beam emittance. Discussion is therefore given to phenomena causing emittance non-conservation. We conclude with a statistical analysis of beam emittance, often calculated with beam tracking simulation codes, and how they are practically measured in particle accelerators. Examples demonstrate the subtleties of various definitions, particularly to reveal the many contributors to the emittance in a space-charge dominated and magnetized electron bunch.
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Slides TUB1TU01 [16.012 MB]
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| WEA2CO04 |
Vlasov Analysis of Microbunching Gain for Magnetized Beams |
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- C.-Y. Tsai
Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA
- Y.S. Derbenev, D. Douglas, R. Li, C. Tennant
JLab, Newport News, Virginia, USA
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Funding: Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE- AC05-06OR23177.
For a high-brightness electron beam with low energy and high bunch charge traversing a recirculation beamline, coherent synchrotron radiation and space charge effect may result in the microbunching instability (MBI). Both tracking simulation and Vlasov analysis for an early design of Circulator Cooler Ring* for the Jefferson Lab Electron Ion Collider reveal significant MBI. It is envisioned these could be substantially suppressed by using a magnetized beam. In this work, we extend the existing Vlasov analysis, originally developed for a non-magnetized beam, to the description of transport of a magnetized beam including relevant collective effects. The new formulation will be further employed to confirm prediction of microbunching suppression for a magnetized beam transport in a recirculating machine design.
*Ya. Derbenev and Y. Zhang, COOL'09 (FRM2MCCO01)
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Slides WEA2CO04 [4.662 MB]
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| DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-NAPAC2016-WEA2CO04
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