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Neutrino Factory/Muon Collider Document 117-v1

Analytical Approach to the Short-range Wakefield between Two Conducting Plates Generated by a Sub-r

Document #:
NFMCC-doc-117-v1
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
21 Apr 2000, 12:00
Contents Revised:
21 Apr 2000, 12:00
Metadata Revised:
21 Apr 2000, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Abstract:
The muon cooling channel design requires a full space charge and wakefield effects included in the beam dynamic simulation. The worst problem may happen when the sub-relativistic (beta=v/c<1) muon beam bunch is inside of RF cavities. To understand the short-range wakefield and crosscheck with MAFIA simulation, an analytical approach by image charge algorithm has been developed for the geometry of two parallel planner conductors. This paper gives all details of physics and mathematics in the electromagnetic field generation, propagation, reflection and causality issue. The calculated wakefield results have an excellent agreement with MAFIA simulation within a broad range of beta [5].

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Keywords:
COOL_THEORY
Notes and Changes:
Haipeng Wang
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