Difference between revisions of "Horizontal emittance"
KevinYager (talk | contribs) (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 | + | \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 13:03, 25 September 2015
The 'horizontal emittance of an x-ray synchrotron is given by:
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon_x \propto E^2 \theta ^3 \Gamma }
Where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle E} is the ring energy, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle \theta} is the angle per BM along the ring, and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle \Gamma} is a quantity that depends on the ring lattice. An XFEL can be thought of as a limiting-case where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle \theta \to 0} .
