Impedance Calculations of Non-Axisymmetric Transitions Using the Optical Approximation

Details Impedance Calculations of Non-Axisymmetric Transitions Using the Optical Approximation Impedance Calculations of Non-Axisymmetric Transitions Using the Optical Approximation

2007-03-19

arxiv.org/abs/physics/0703188v1

Phys.Rev.ST Accel.Beams 10:074401,2007

Physics

Accelerator Physics

29 pages, 20 figures

Scientific paper

10.1103/PhysRevSTAB.10.074401

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 non-axisymmetric 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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