skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fields and characteristic impedances of dipole and quadrupole cylindrical stripline kickers

Abstract

In this article we present semianalytical methods for calculating the electromagnetic field in dipole and quadrupole stripline kickers with curved plates of infinitesimal thickness. Two different methods are used to solve Laplace’s equation by reducing it either to a single or to two coupled matrix equations; they are shown to yield equivalent results. Approximate analytic solutions for the lowest order fields (dipole or quadrupole) are presented and their useful range of validity are shown. The kickers plates define a set of coupled transmission lines and the characteristic impedances of modes relevant to each configuration are calculated. The solutions are compared with those obtained from a finite element solver and found to be in good agreement. Mode matching to an external impedance determines the kicker geometry and this is discussed for both kicker types. We show that a heuristic scaling law can be used to determine the dependence of the characteristic impedance on plate thickness. The solutions found by semianalytical methods can be used as a starting point for a more detailed kicker design.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1582492
Alternate Identifier(s):
OSTI ID: 1581585
Report Number(s):
arXiv:1910.06951; FERMILAB-PUB-19-421-AD
Journal ID: ISSN 2469-9888; PRABCJ; 012801
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 23 Journal Issue: 1; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Sen, T., Tu, Y., and Ostiguy, J. -F. Fields and characteristic impedances of dipole and quadrupole cylindrical stripline kickers. United States: N. p., 2020. Web. doi:10.1103/PhysRevAccelBeams.23.012801.
Sen, T., Tu, Y., & Ostiguy, J. -F. Fields and characteristic impedances of dipole and quadrupole cylindrical stripline kickers. United States. doi:10.1103/PhysRevAccelBeams.23.012801.
Sen, T., Tu, Y., and Ostiguy, J. -F. Mon . "Fields and characteristic impedances of dipole and quadrupole cylindrical stripline kickers". United States. doi:10.1103/PhysRevAccelBeams.23.012801.
@article{osti_1582492,
title = {Fields and characteristic impedances of dipole and quadrupole cylindrical stripline kickers},
author = {Sen, T. and Tu, Y. and Ostiguy, J. -F.},
abstractNote = {In this article we present semianalytical methods for calculating the electromagnetic field in dipole and quadrupole stripline kickers with curved plates of infinitesimal thickness. Two different methods are used to solve Laplace’s equation by reducing it either to a single or to two coupled matrix equations; they are shown to yield equivalent results. Approximate analytic solutions for the lowest order fields (dipole or quadrupole) are presented and their useful range of validity are shown. The kickers plates define a set of coupled transmission lines and the characteristic impedances of modes relevant to each configuration are calculated. The solutions are compared with those obtained from a finite element solver and found to be in good agreement. Mode matching to an external impedance determines the kicker geometry and this is discussed for both kicker types. We show that a heuristic scaling law can be used to determine the dependence of the characteristic impedance on plate thickness. The solutions found by semianalytical methods can be used as a starting point for a more detailed kicker design.},
doi = {10.1103/PhysRevAccelBeams.23.012801},
journal = {Physical Review Accelerators and Beams},
number = 1,
volume = 23,
place = {United States},
year = {2020},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.23.012801

Save / Share:

Works referenced in this record:

Improved Uniform‐Field Electrode Profiles for TEA Laser and High‐Voltage Applications
journal, April 1973

  • Chang, T. Y.
  • Review of Scientific Instruments, Vol. 44, Issue 4
  • DOI: 10.1063/1.1686144

Stripline design for the extraction kicker of Compact Linear Collider damping rings
journal, July 2014

  • Belver-Aguilar, C.; Faus-Golfe, A.; Toral, F.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 7
  • DOI: 10.1103/PhysRevSTAB.17.071003

IOTA (Integrable Optics Test Accelerator): facility and experimental beam physics program
journal, March 2017


Dynamic devices. A primer on pickups and kickers
conference, January 1992

  • Goldberg, D. A.; Lambertson, G. R.
  • The Physics of Particle Accelerators Vol. I (based on the US Particle Accelerator School (USPAS) Seminars and Courses), AIP Conference Proceedings
  • DOI: 10.1063/1.41979

Diffusion measurement from observed transverse beam echoes
journal, January 2017


Characteristic impedance and loss data for a common stripline pickup geometry
journal, March 1990

  • Barry, W.; Liu, S. Y. R.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 288, Issue 2-3
  • DOI: 10.1016/0168-9002(90)90157-2

Design, test, and operation of new tapered stripline injection kickers for the e + e − collider DA Φ NE
journal, November 2010

  • Alesini, David; Guiducci, Susanna; Marcellini, Fabio
  • Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 11
  • DOI: 10.1103/PhysRevSTAB.13.111002

Nonlinear theory of transverse beam echoes
journal, February 2018


Cylindrical and Cylindrically Warped Strip and Microstriplines
journal, January 1978