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MIT2_71S09_gquiz1_sol - 2.710 Optics Quiz 1 Solutions...

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2.710 Optics Quiz 1 Solutions Spring ‘09 1. (a) Without correction, the focus is before the retina, leading to blurred vision: With correction, the image forms (focused) on the retina: 1 + 1 = 1 1 = 1 1 = 50 45 = 5 f c + 15 50 45 f c + 15 45 50 50 × 45 50 × 45 50 × 45 f c + 15 = 5 = 450 f c = 435 ( P c ≈ − 2 . 3 D ) (b) Draw again the ray-tracing diagram for the object at : x x x α 1 = = f c = 435 435 Draw the imaging system formed by EL above, with object = the virtual image found by CL. 1
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450 Angular magnification M A = = 9 50 9 x x α 2 = 9 · α 1 = 435 = 48 1 3 From ICA (see diagram on previous page), x = tan α 2 = α 2 (paraxial approximation) EFL x 1 = EFL = 48 48 1 3 3 (c) 1st method: Using the 2nd PP and EFL 1 3 x i = α (EFL) = 48 α · 2nd method: Using the imaging condition 2
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x 0 = αf c = 435 α The lateral magnification of EL’s imaging system (with the virtual image formed by CL as the object and real image formed on the retina) is given by: 50 1 1 M L = 450 = 9 x i = M L x 0 = 9 · ( 435 α ) 435 1 = α = 48 α
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