List of all members.
Public Member Functions |
| | 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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| double | xave (void) |
| double | xpave (void) |
| double | alpha (void) |
| double | beta (void) |
| double | gamma (void) |
| double | epsilon (void) |
| double | angle (void) |
| double | rmajor (void) |
| double | rminor (void) |
Protected Attributes |
| double | _Isum |
| double | _xave |
| double | _xpave |
| double | _x2 |
| double | _xp2 |
| double | _xxp |
| double | _alpha |
| double | _beta |
| double | _gamma |
| double | _epsilon |
| double | _angle |
| double | _rmajor |
| double | _rminor |
Detailed Description
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_48.png)
and the Twiss parameters
![\[ \alpha = \frac{-<x x'>}{\epsilon}, \beta = \frac{<x^2>}{\epsilon}, \gamma = \frac{<x'^2>}{\epsilon} \]](form_49.png)
In addition to these physical values, the class calculates the angle of the ellipse
![\[ \theta = \frac{1}{2} \arctan{\left( \frac{2\alpha}{\beta - \gamma} \right)} \]](form_50.png)
and the half-axis lengths
![\[ r_1 = \sqrt{\frac{\epsilon}{2}} ( \sqrt{H+1} + \sqrt{H-1} ) \]](form_51.png)
![\[ r_2 = \sqrt{\frac{\epsilon}{2}} ( \sqrt{H+1} - \sqrt{H-1} ), \]](form_52.png)
where
![\[ H = \frac{\beta + \gamma}{2} \]](form_53.png)
Constructor & Destructor Documentation
Default constructor for emittance statistics.
| Emittance::Emittance |
( |
const std::vector< double > & |
x, |
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const std::vector< double > & |
xp, |
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const std::vector< double > & |
I | |
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) |
| | |
Constructor for emittance statistics from trajectory diagnostic data columns x, xp and current I.
| Emittance::Emittance |
( |
const std::vector< double > & |
x, |
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const std::vector< double > & |
xp | |
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) |
| | |
Constructor for emittance statistics from trajectory diagnostic data columns x, xp, assuming even weights.
Member Function Documentation
| double Emittance::alpha |
( |
void |
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) |
[inline] |
| double Emittance::angle |
( |
void |
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) |
[inline] |
| double Emittance::beta |
( |
void |
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) |
[inline] |
| double Emittance::epsilon |
( |
void |
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) |
[inline] |
| double Emittance::gamma |
( |
void |
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) |
[inline] |
| double Emittance::rmajor |
( |
void |
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) |
[inline] |
| double Emittance::rminor |
( |
void |
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) |
[inline] |
| double Emittance::xave |
( |
void |
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) |
[inline] |
| double Emittance::xpave |
( |
void |
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) |
[inline] |
Member Data Documentation
The documentation for this class was generated from the following file:
