chord_length#

ctapipe.image.muon.intensity_fitter.chord_length(radius, rho, phi)[source]#

Function for integrating the length of a chord across a circle (effective chord length).

A circular mirror is used for signal, and a circular camera is used for shadowing.

Parameters:
radius: float or ndarray

radius of circle

rho: float or ndarray

fractional distance of impact point from circle center

phi: float or ndarray in radians

rotation angles to calculate length

Returns:
float or ndarray:

effective chord length

References

See [VF+94]. Equation 6: for effective chord length calculations inside/outside the ring. Equation 7: for filtering out non-physical solutions.