cherab.nagdis.tools.emission.gauss¶
-
cherab.nagdis.tools.emission.gauss(x: float, y: float, z: float, peak: float =
1.0, center: float =0.0, deviation: float =0.005, limit: float =0.01) floatSource¶ Generate a Gaussian emission profile.
The profile \(f(r)\) is defined as:
\[f(r) = A \left[ \exp\left( -\frac{(r - r_\mathrm{center})^2}{\sigma^2} \right) - \exp\left( -\frac{(r_\mathrm{limit} - r_\mathrm{center})^2}{\sigma^2} \right) \right],\]where \(r = \sqrt{x^2 + y^2}\) is the radial distance from the origin, \(A\) is the peak value, \(r_\mathrm{center}\) is the center position, \(\sigma\) is the standard deviation, and \(r_\mathrm{limit}\) is the limit position.
- Parameters:
- x: float¶
X coordinate.
- y: float¶
Y coordinate.
- z: float¶
Z coordinate.
- peak: float =
1.0¶ Peak value of the Gaussian profile, \(A\).
- center: float =
0.0¶ Center position of the Gaussian profile, \(r_\mathrm{center}\).
- deviation: float =
0.005¶ Standard deviation of the Gaussian profile, \(\sigma\).
- limit: float =
0.01¶ Limit position for the Gaussian profile, \(r_\mathrm{limit}\).
- Returns:
float – Value of the Gaussian profile at the given coordinates.