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TUB1TU01 |
A Discussion on Phase Space and Beam Emittance | |
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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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TUPOB36 | Simulation Study on JLEIC High Energy Bunched Electron Cooling | 568 |
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Funding: * Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177 and DE-AC02-06CH11357. In the JLab Electron Ion Collider (JLEIC) project the traditional electron cooling technique is used to reduce the ion beam emittance at the booster ring, and to compensate the intrabeam scattering effect and maintain the ion beam emittance during the collision at the collider ring. Different with other electron coolers using DC electron beam, the proposed electron cooler at the JLEIC ion collider ring uses high energy bunched electron beam, provided by an ERL. In this paper, we report some recent simulation study on how the electron cooling rate will be affected by the bunched electron beam properties, such as the correlation between the longitudinal position and momentum, the bunch size, and the Larmor emittance. |
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DOI • | reference for this paper ※ https://doi.org/10.18429/JACoW-NAPAC2016-TUPOB36 | |
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WEA2CO04 | Vlasov Analysis of Microbunching Gain for Magnetized Beams | 675 |
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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] | |
DOI • | reference for this paper ※ https://doi.org/10.18429/JACoW-NAPAC2016-WEA2CO04 | |
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THPOA35 | Analysis of Microbunching Structures in Transverse and Longitudinal Phase Spaces | 1177 |
SUPO46 | use link to see paper's listing under its alternate paper code | |
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Funding: Authored by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177. Microbunching instability (MBI) has been a challenging issue in high-brightness electron beam transport for modern accelerators. The existing Vlasov analysis of MBI is based on single-pass configuration*. For multi-pass recirculation or a long beamline, the intuitive argument of quantifying MBI, by successive multiplication of MBI gains, was found to underestimate the effect**. More thorough analyses based on concatenation of gain matrices aimed to combine both density and energy modulations for a general beamline**. Yet, quantification still focuses on characterizing longitudinal phase space; microbunching residing in (x,z) or (x',z) was observed in particle tracking simulation. Inclusion of such cross-plane microbunching structures in Vlasov analysis shall be a crucial step to systematically characterize MBI for a beamline complex in terms of concatenating individual beamline segments. We derived a semi-analytical formulation to include the microbunching structures in longitudinal and transverse phase spaces. Having numerically implemented the generalized formulae, an example lattice*** is studied and reasonable agreement achieved when compared with particle tracking simulation. * Heifets et al., PRSTAB 5, 064401 (2002), Huang and Kim, PRSTAB 5, 074401 (2002), and Vneturini, PRSTAB 10, 104401 (2007) ** Tsai et al., IPAC'16 (TUPOR020) *** Di Mitri, PRSTAB 17, 074401 (2014) |
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Poster THPOA35 [4.710 MB] | |
DOI • | reference for this paper ※ https://doi.org/10.18429/JACoW-NAPAC2016-THPOA35 | |
Export • | reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml) | |