This may be more a physics topic but I feel like it is a math stack exchange topic.
Say you had a circular reflective surface with rays coming in parallel to the surface. They rays reflect with angle of incidence equaling angle of reflection. I've modeled the situation below for a different number of lines:
The red lines are the ray once it has bounced off the surface. I would also like to ignore the rays once they pass the y axis, i.e o only care about the red line segment from where the light ray first its the surface to where it first hits the y axis after reflection.It seems that these segments are beginning to form some region or special shape, like a very thing crescent moon that gets wider towards the middle, comes to a point, and then is symmetrical in nature on the other side of the y axis.I am clueless as to what this shape could be. ANy help? If you need I can give you the equations for the red lines and other needed information.
The shape i'm beginning to see looks like this: (crude drawing)