A geometric procedure allowing graphical construction of the caustic o
f a plane curve (2D mirror) illuminated by a parallel light beam is re
minded. A new geometric variational criterion is given to determine th
e position of caustic regression points. Parametric equations of the c
austic in an arbitrary cartesian coordinate system are calculated. It
is proved that the loci of foci corresponding to different slopes of t
he incident beam form a regular curve.