Chromatic Performance

System Performance - C. Chromatic Aberrations




As the energy recovery transport must provide large momentum acceptance, we have studied the chromatic performance of the system in some detail. The first of the following figures presents the results of a momentum scan at the wiggler of the cryomodule to wiggler transport beam envelope and orbit functions; the second of the following figures presents similar results at the reinjection point for the wiggler to reinjection transport. The system behavior is acceptable; no beam loss is anticipated. We do observe a significant variation of phase advance with momentum; as this is a single pass system this is not a serious problem, although it can give rise to phase space distortions in certain cases, as we shall see in subsequent discussions of system behavior during energy recovery.

Momentum scan of beam and orbit parameters at the wiggler for cryomodule to wiggler transport.

Momentum scan of beam and orbit parameters at the reinjection point for wiggler to reinjection transport.

The next figures provide momentum scan results for horizontal (the first figure) and vertical (the second figure) beam envelopes throughout the wiggler to reinjection transport. Therein we see the chromatic behavior of the beam envelopes plotted as a function of position through the system and note again that no untoward chromatic variations are observed. As one may infer from the previous graphs, worst-case variations yield peak beam envelopes of ~35 m, a factors of two to three times the nominal peak of order 13 m.

Momentum scan of horizontal beam envelope function through system, from wiggler to reinjection point.

Momentum scan of vertical beam envelope function through system, from wiggler to reinjection point.




In the FODOmat's A Guide to the Design,
Project Overview
System Design Process
Application of Process to High Power IR FEL
Description of Solution
System Performance
A. Linear Optics
B. Aberration Analysis
**you are here! **C. Chromatic Performance
**the next link isD. Geometric Performance
E. Simulation of Energy Recovery
Error Studies
Upgrade Scenarios
  
Go to The FODOmat's FEL Page




Last modified: 10 March 1997
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