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Phys. Rev. ST Accel. Beams 10, 074401 (2007) [16 pages]

Impedance calculations of nonaxisymmetric transitions using the optical approximation

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K. L. F. Bane and G. Stupakov
Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA

I. Zagorodnov
Deutsches Elektronen-Synchrotron, Notkestrasse 85, 22603 Hamburg, Germany

Received 5 March 2007; published 10 July 2007

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.

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© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.10.074401
DOI:
10.1103/PhysRevSTAB.10.074401
PACS:
41.60.−m, 03.50.De