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.
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb42373c1-1a13-480b-8fa8-c5f396e48c85%2F236264dc-59b3-4dd8-bdc5-007976729af0%2Fpf3ifjl_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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