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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 a flat, corrugated beam pipe with realistic parameters, 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. As a result, with the beam moved to 200 μm from one jaw in one dechirper section, one can achieve a 3 MV transverse kick differential over a 30 μm length.

Authors:
; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1282429
Alternate Identifier(s):
OSTI ID: 1312652
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 19 Journal Issue: 8; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION

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. https://doi.org/10.1103/PhysRevAccelBeams.19.084401.
Bane, Karl, Stupakov, Gennady, & Zagorodnov, Igor. Analytical formulas for short bunch wakes in a flat dechirper. United States. https://doi.org/10.1103/PhysRevAccelBeams.19.084401
Bane, Karl, Stupakov, Gennady, and Zagorodnov, Igor. Thu . "Analytical formulas for short bunch wakes in a flat dechirper". United States. https://doi.org/10.1103/PhysRevAccelBeams.19.084401.
@article{osti_1282429,
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 a flat, corrugated beam pipe with realistic parameters, 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. As a result, with the beam moved to 200 μm from one jaw in one dechirper section, one can achieve a 3 MV transverse kick differential over a 30 μm length.},
doi = {10.1103/PhysRevAccelBeams.19.084401},
journal = {Physical Review Accelerators and Beams},
number = 8,
volume = 19,
place = {United States},
year = {2016},
month = {8}
}

Journal Article:
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Cited by: 5 works
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Works referenced in this record:

Corrugated pipe as a beam dechirper
journal, October 2012

  • Bane, K. L. F.; Stupakov, G.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 690
  • DOI: 10.1016/j.nima.2012.07.001

Experimental Demonstration of Energy-Chirp Control in Relativistic Electron Bunches Using a Corrugated Pipe
journal, January 2014


Experimental Demonstration of Longitudinal Beam Phase-Space Linearizer in a Free-Electron Laser Facility by Corrugated Structures
journal, December 2014


Demonstration of Nonlinear-Energy-Spread Compensation in Relativistic Electron Bunches with Corrugated Structures
journal, March 2015


Time-resolved measurement of quadrupole wakefields in corrugated structures
journal, February 2016


Experimental Demonstration of Energy-Chirp Compensation by a Tunable Dielectric-Based Structure
journal, March 2014


Impedance of a rectangular beam tube with small corrugations
journal, February 2003


Electron beam energy chirp control with a rectangular corrugated structure at the Linac Coherent Light Source
journal, January 2015

  • Zhang, Zhen; Bane, Karl; Ding, Yuantao
  • Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 1
  • DOI: 10.1103/PhysRevSTAB.18.010702

Wakefield potentials of corrugated structures
journal, October 2015


Calculation of wakefields in 2D rectangular structures
journal, October 2015

  • Zagorodnov, I.; Bane, K. L. F.; Stupakov, G.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 10
  • DOI: 10.1103/PhysRevSTAB.18.104401

Using surface impedance for calculating wakefields in flat geometry
journal, March 2015


Dechirper wakefields for short bunches
journal, June 2016

  • Bane, Karl; Stupakov, Gennady
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 820
  • DOI: 10.1016/j.nima.2016.02.055

Longitudinal impedance of a periodic structure at high frequency
journal, May 1989


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