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Title: Analytical Formulas for Short Bunch Wakes in a Flat Dechirper

Abstract

We develop analytical models of the longitudinal and transverse wakes, on and off axis for realistic structures, and then compare them with numerical calculations, and generally find good agreement. These analytical "first order" formulas approximate the droop at the origin of the longitudinal wake and of the slope of the transverse wakes; they represent an improvement in accuracy over earlier, "zeroth order" formulas. In example calculations for the RadiaBeam/LCLS dechirper using typical parameters, we find a 16% droop in the energy chirp at the bunch tail compared to simpler calculations. With the beam moved to 200 m from one jaw in one dechiper section, one can achieve a 3 MV transverse kick differential over a 30 m length.

Authors:
 [1];  [1];  [2]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1245114
Report Number(s):
SLAC-PUB-16497
arXiv:1603.07411; TRN: US1601176
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; COMPARATIVE EVALUATIONS; APPROXIMATIONS; ACCURACY; ANALYTICAL SOLUTION; MATHEMATICAL MODELS; BEAM DYNAMICS; PLATES; FREE ELECTRON LASERS; General Physics,ACCPHY

Citation Formats

Bane, Karl, Stupakov, Gennady, and Zagorodnov, Igor. Analytical Formulas for Short Bunch Wakes in a Flat Dechirper. United States: N. p., 2016. Web. doi:10.2172/1245114.
Bane, Karl, Stupakov, Gennady, & Zagorodnov, Igor. Analytical Formulas for Short Bunch Wakes in a Flat Dechirper. United States. https://doi.org/10.2172/1245114
Bane, Karl, Stupakov, Gennady, and Zagorodnov, Igor. 2016. "Analytical Formulas for Short Bunch Wakes in a Flat Dechirper". United States. https://doi.org/10.2172/1245114. https://www.osti.gov/servlets/purl/1245114.
@article{osti_1245114,
title = {Analytical Formulas for Short Bunch Wakes in a Flat Dechirper},
author = {Bane, Karl and Stupakov, Gennady and Zagorodnov, Igor},
abstractNote = {We develop analytical models of the longitudinal and transverse wakes, on and off axis for realistic structures, and then compare them with numerical calculations, and generally find good agreement. These analytical "first order" formulas approximate the droop at the origin of the longitudinal wake and of the slope of the transverse wakes; they represent an improvement in accuracy over earlier, "zeroth order" formulas. In example calculations for the RadiaBeam/LCLS dechirper using typical parameters, we find a 16% droop in the energy chirp at the bunch tail compared to simpler calculations. With the beam moved to 200 m from one jaw in one dechiper section, one can achieve a 3 MV transverse kick differential over a 30 m length.},
doi = {10.2172/1245114},
url = {https://www.osti.gov/biblio/1245114}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {3}
}