2 - CERN Accelerator School
2 - CERN Accelerator School
2 - CERN Accelerator School
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Introduction - II<br />
In the case of a beam, i.e. an ensemble of<br />
particles:<br />
Emittance: Emittance:<br />
value of the Courant-Snyder<br />
Courant Snyder<br />
invariant corresponding to a given fraction of<br />
particles.<br />
Example: rms emittance for Gaussian beams.<br />
Why emittance can grow?<br />
Hill equation is linear -> > in the presence of<br />
nonlinear conserved.<br />
effects emittance is no more<br />
Massimo Giovannozzi CAS - 2-14 14 October 2005 3
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