Parabolic Light Curve
The parabolic light curve is just a parabola as a function of time:
import numpy as np
F(t) = -(F0/((tau/2.0)**2))*(t - tau/2.0 - tcrit)**2 + F0tstart = np.maximum(tcrit , T_start)
tend = np.minimum(tcrit + tau, T_end)
fint = (F0*(tend-tstart) - (F0*(np.power((tend - tau/2.0 - tcrit),3.0)-np.power((tstart - tau/2.0 - tcrit),3.0))/(3.0*np.power((tau/2.0),2.0))))/(T_end-T_start)
Each probability contour plot has three vertical lines or curves.
The leftmost vertical line in the above image represents the shortest observation input
The second line is from the left is a curve representing the shortest possible duration for a transient that will always be detected. For any light curve with definite duration, this line will be the duration of the maximum gap in the observations.
The third line from the left is a curve representing the longest duration for a transient before it is detected as constant. For any transient that has definite duration, this line will be the duration of the entire survey.