OPTI 201R 10 L21

# OPTI 201R 10 L21 - 21-1 7.4 Determining Cardinal Points The...

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OPTI 201R Fall 2010 21-1 7.4 Determining Cardinal Points Figure 7.8 Gaussian optics illustrating the six cardinal points for the most general case with different indices of refraction for each space (n > n"). Significant points on the optical axis Principal points P, P* Conjugate (M t = 1) Nodal points N, N* Conjugate (M ! = 1) Focal points F, F* Not conjugate Vertices V 1 , V 2 Not conjugate Object/Image points O, I Conjugate Significant directed distances Front / back focal lengths , PF f P F f ! ! ! " " Front / back focal distances 12 , V F FFD V F BFD ! " " Object / Image distances , PO P I ! Vertex thickness VV Principal point separation PP ! Nodal point separation PN P N f f ! ! ! " " # The 6 cardinal points of a "thick" lens: Focal Points F, F* Principal Points P, P* M t = 1 Nodal Points N, N* M ! = 1

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OPTI 201R Fall 2010 21-2 (a) (b) Figure 7.9 (a) Cardinal point locations for a single thick lens. (b) Location of rear principal plane relative to the rear vertex of a single thick lens. 21 ; tt nn \$\$ %% ! && " " (
OPTI 201R Fall 2010 21-3 Gaussian properties of a thin lens: ) * ) * ) * ) * 12 0 ; " 1 ; >1 1 1; 0, 0 0, 0, 0 lens g g t n n lens in air n n indexof real glass n C C f PN P N

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OPTI 201R 10 L21 - 21-1 7.4 Determining Cardinal Points The...

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