Difference between revisions of "Horizontal emittance"

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(Created page with "The '''horizontal emittance'' of an x-ray synchrotron is given by: :<math> \epsilon_x \propto 1 </math>")
 
 
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The '''horizontal emittance'' of an [[x-ray]] [[synchrotron]] is given by:
 
The '''horizontal emittance'' of an [[x-ray]] [[synchrotron]] is given by:
 
:<math>
 
:<math>
\epsilon_x \propto 1
+
\epsilon_x \propto E^2 \theta ^3 \Gamma
 
</math>
 
</math>
 +
Where <math>\scriptstyle E</math> is the ring energy, <math>\scriptstyle \theta</math> is the angle per [[Bending magnet|BM]] along the ring, and <math>\scriptstyle \Gamma</math> is a quantity that depends on the ring lattice. An [[XFEL]] can be thought of as a limiting-case where <math>\scriptstyle \theta \to 0</math>.

Latest revision as of 12:03, 25 September 2015

The 'horizontal emittance of an x-ray synchrotron is given by:

Where is the ring energy, is the angle per BM along the ring, and is a quantity that depends on the ring lattice. An XFEL can be thought of as a limiting-case where .