2 - CERN Accelerator School
2 - CERN Accelerator School
2 - CERN Accelerator School
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Scattering through thin foil -<br />
IV<br />
Few remarks<br />
A special case with α = 0 at the location of the<br />
thin foil is discussed -> > it can be generalised.<br />
The correct way of treating this problem is (see<br />
next slides):<br />
Compute all three second-order second order moments of the beam<br />
distribution downstream of the foil<br />
Evaluate the new optical parameters and emittance using<br />
the statistical definition<br />
The emittance function!<br />
growth depends on the beta-<br />
THE SMALLER THE VALUE OF THE BETA- BETA<br />
FUNCTION AT THE LOCATION OF THE FOIL<br />
THE SMALLER THE EMITTANCE GROWTH<br />
Massimo Giovannozzi CAS - 2-14 14 October 2005 9