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Unformatted text preview: 1 Parallel lines Lecture23 Geometrical Optics continued Lensmakers equation Snells law gives and Also from figure, we have Or , For thin lens we obtain Lensmakers equation : Note that R 1 > 0 if center of curvature is on right, and R 2 > 0 if on left, of lens. 2 1 2 1 4 3 ) ( + + = = = n n n 1 1 1 1 2 2 2 2 2 nR h R h nf h nR h R h + + = 2 1 = R 2 R 1 2 1 n 3 4 n ; sin 1 1 1 1 R h = f h and R h 2 2 2 ; . , 1 1 ) 1 ( 1 2 1 2 1 h h where R R n f + = 2 f d d L i i 1 1 1 = + 2 = + Lf Ld d i i L ( ) ( ) f d d i o 1 1 1 = + Thin lens equation ABF is similar to II F , and therefore Also OOA is similar to IIA , and thus Thus Lens equation: Lens equation is quadratic in d i : Set L= d o + d i , then Or, and the roots are There are two sharpfocus lens positions for given L : One magnified and...
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 Spring '08
 Kim

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