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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

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