4) Show that the ABCD matrix for a thick lens can be derived by sandwiching a window between two thin lenses. HINT: All relevant formulas appear in our books. Let the thin lenses each have a planar side adjacent to the window. Using this gives focal lengths 1 n-1 and 1 = where R1 is the radius of the first surface of lens 1, and R2 is the f1 R1 f2 R2 = 1-n radius of the second surface of lens 2 (negative if convex). The refractive index of the lens material is n.

4) Show that the ABCD matrix for a thick lens can be derived by sandwiching a window between two thin lenses. HINT: All relevant formulas appear in our books. Let the thin lenses each have a planar side adjacent to the window. Using this gives focal lengths 1 n-1 and 1 = where R1 is the radius of the first surface of lens 1, and R2 is the f1 R1 f2 R2 = 1-n radius of the second surface of lens 2 (negative if convex). The refractive index of the lens material is n.