I barely know anything about optics, so I could use some help about how to go about solving this problem.
If I have a ray of light at a certain height from the optical axis, propagating at an angle, and the distance it travels before it comes in comes in contact with a mirror, can I find the angle and height of the ray after it reflects?
I know the mirror is concave and the radius of curvature, and I know the parameters listed above, but how should I write an equation to find the height and angle of a reflected ray?
EDIT: For example, I have a ray 5mm from the optical axis, and it propagates at 0.3 mrad to that axis. The ray travels a distance of 2cm and comes in contact with a concave mirror of R = 1. How can I find the height and angle of the ray 1m away from the point reflected? I've looked at three optics books, and I still can't find an easy explanation for calculating this.
I tried to use the matrix method to solve this problem, but I don't even know if this would work or not. Below is what I referred to. Can anyone tell me if this would work for my problem?