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| | Emittance () |
| | Default constructor for emittance statistics.
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| | Emittance (const std::vector< double > &x, const std::vector< double > &xp, const std::vector< double > &I) |
| | Constructor for emittance statistics from trajectory diagnostic data columns x, xp and current I.
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| | Emittance (const std::vector< double > &x, const std::vector< double > &xp) |
| | Constructor for emittance statistics from trajectory diagnostic data columns x, xp, assuming even weights.
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| | Emittance (size_t xsize, size_t xpsize, const double range[4], const std::vector< double > &I) |
| | Constructor for emittance statistics from trajectory diagnostic data in mesh form.
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| double | xave (void) const |
| | Return average position (center location) of emittance distribution.
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| double | xpave (void) const |
| | Return average angle (center location) of emittance distribution.
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| double | alpha (void) const |
| | Return  of emittance distribution.
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| double | beta (void) const |
| | Return  of emittance distribution.
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| double | gamma (void) const |
| | Return  of emittance distribution.
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| double | epsilon (void) const |
| | Return rms emittance.
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| double | angle (void) const |
| | Return angle of fitted rms ellipse.
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| double | rmajor (void) const |
| | Return major radius of fitted rms ellipse.
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| double | rminor (void) const |
| | Return minor radius of fitted rms ellipse.
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| void | debug_print (std::ostream &os) const |
| | Print debugging information to os.
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Class for emittance statistics.
Emittance class does a statistical analysis on the particle distribution and it calculates averages 
and 
and the expectation values 
, 
and 
. From these it calculates the rms-emittance
![\[ \epsilon = \sqrt{ <x^2><x'^2> - <x x'>^2 } \]](form_59.png)
and the Twiss parameters
![\[ \alpha = \frac{-<x x'>}{\epsilon}, \beta = \frac{<x^2>}{\epsilon}, \gamma = \frac{<x'^2>}{\epsilon} \]](form_60.png)
In addition to these physical values, the class calculates the angle of the ellipse
![\[ \theta = \frac{1}{2} \arctan2{\left( -2\alpha, \beta - \gamma \right)} \]](form_61.png)
and the half-axis lengths
![\[ r_1 = \sqrt{\frac{\epsilon}{2}} ( \sqrt{H+1} + \sqrt{H-1} ) \]](form_62.png)
![\[ r_2 = \sqrt{\frac{\epsilon}{2}} ( \sqrt{H+1} - \sqrt{H-1} ), \]](form_63.png)
where
![\[ H = \frac{\beta + \gamma}{2} \]](form_64.png)
| Emittance::Emittance |
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size_t |
xsize, |
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size_t |
xpsize, |
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const double |
range[4], |
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const std::vector< double > & |
I |
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Constructor for emittance statistics from trajectory diagnostic data in mesh form.
The mesh has integer dimensions of (xsize, xpsize) and has the extents defined by range, where range = (xmin, xpmin, xmax, xpmax). Current data at each mesh node is given by vector I, where data is stored in x major order (I[xindex+xpindex*xsize]).
