(Solved): 7) A Mangin mirror consists of a second surface spherical reflector, with a different first surface ...

7) A Mangin mirror consists of a second surface spherical reflector, with a different first surface curvature. (See figure): Specifications: $\mathrm{R}1=100.0\mathrm{R}2=150.0\mathrm{t}=10.0\mathrm{n}=1.5$ a) Do a paraxial ray trace of this Mangin mirror to determine the effective focal length, rear principal plane location, and back focal distance. b) Where is the front principal plane, and where is the front focal point?