Impedance calculations of nonaxisymmetric transitions using the optical approximation
In a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that—in analogy to geometric optics for light—we call the optical regime. In this report we apply the me...
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American Physical Society
2007-07-01
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Series: | Physical Review Special Topics. Accelerators and Beams |
Online Access: | http://doi.org/10.1103/PhysRevSTAB.10.074401 |
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doaj-bd538ddac0b44e2fbc4b997fab5812e32020-11-25T02:24:29ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022007-07-0110707440110.1103/PhysRevSTAB.10.074401Impedance calculations of nonaxisymmetric transitions using the optical approximationK. L. F. BaneG. StupakovI. ZagorodnovIn a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that—in analogy to geometric optics for light—we call the optical regime. In this report we apply the method to various nonaxisymmetric geometries such as irises/short collimators in a beam pipe, step-in transitions, step-out transitions, and more complicated transitions of practical importance. Most of our results are analytical, with a few given in terms of a simple one-dimensional integral. Our results are compared to wakefield simulations with the time-domain, finite-difference program ECHO, and excellent agreement is found.http://doi.org/10.1103/PhysRevSTAB.10.074401 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
K. L. F. Bane G. Stupakov I. Zagorodnov |
spellingShingle |
K. L. F. Bane G. Stupakov I. Zagorodnov Impedance calculations of nonaxisymmetric transitions using the optical approximation Physical Review Special Topics. Accelerators and Beams |
author_facet |
K. L. F. Bane G. Stupakov I. Zagorodnov |
author_sort |
K. L. F. Bane |
title |
Impedance calculations of nonaxisymmetric transitions using the optical approximation |
title_short |
Impedance calculations of nonaxisymmetric transitions using the optical approximation |
title_full |
Impedance calculations of nonaxisymmetric transitions using the optical approximation |
title_fullStr |
Impedance calculations of nonaxisymmetric transitions using the optical approximation |
title_full_unstemmed |
Impedance calculations of nonaxisymmetric transitions using the optical approximation |
title_sort |
impedance calculations of nonaxisymmetric transitions using the optical approximation |
publisher |
American Physical Society |
series |
Physical Review Special Topics. Accelerators and Beams |
issn |
1098-4402 |
publishDate |
2007-07-01 |
description |
In a companion report, we have derived a method for finding the impedance at high frequencies of vacuum chamber transitions that are short compared to the catch-up distance, in a frequency regime that—in analogy to geometric optics for light—we call the optical regime. In this report we apply the method to various nonaxisymmetric geometries such as irises/short collimators in a beam pipe, step-in transitions, step-out transitions, and more complicated transitions of practical importance. Most of our results are analytical, with a few given in terms of a simple one-dimensional integral. Our results are compared to wakefield simulations with the time-domain, finite-difference program ECHO, and excellent agreement is found. |
url |
http://doi.org/10.1103/PhysRevSTAB.10.074401 |
work_keys_str_mv |
AT klfbane impedancecalculationsofnonaxisymmetrictransitionsusingtheopticalapproximation AT gstupakov impedancecalculationsofnonaxisymmetrictransitionsusingtheopticalapproximation AT izagorodnov impedancecalculationsofnonaxisymmetrictransitionsusingtheopticalapproximation |
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1724855585705295872 |