OPTI 201R 10 L18

OPTI 201R 10 L18 - OPTI 201R Fall 2010 18-1 6.7 Thick lens...

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Unformatted text preview: OPTI 201R Fall 2010 18-1 6.7 Thick lens equivalent of thin lens (6.10 Thin lens combinations) ! Optical systems usually consist of more than one lens or mirror (rarely is just one lens used). ! "How to combine multiple thin lenses into one, equivalent, thin lens" ! Image using each lens in sequence: Object initial " $ 1 " %&’() 1 ! Object 2 " $ 2 "%&’() final ! Works, but is cumbersome for many lenses or mirrors: Derive equations for a system of optical elements (thin lenses). "Thin lens equivalent of a multiple lens system" Figure 6.21 (a) Two thin lenses separated (in air) by a distance t; (b) a single thin lens with the equivalent optical power of the two lenses shown in (a). ! Not magic….."trace paraxial rays"!!! OPTI 201R Fall 2010 18-2 Assume n = n' = n" = 1 (lenses in air): ! Refract at L1: 1 1 1 1 ; 0 ; n u nu y u u y ! ! " " " # $ # # $ (6.49) ! Transfer to L2: 2 1 2 1 2 1 1 1 ; ; t y y n u y y u t y y y t n ! % & " " " # ’ # ’ # $ ( ) " * + ! Refract at L2: 2 2 2 2 ; n u n u y u u y ! ! "" "" " " "" " # $ # $ (6.50) This is equivalent to using the single lens: 1 12 1 12 ; 0 ; n u nu y u u y ! ! "" "" "" # $ # # $ (6.52) Setting the angles in image space equal: , - 2 2 1 12 1 1 1 1 1 2 1 12 1 12 1 1 1 2 1 1 2 u y y y y y t y y y y y t ! ! ! ! ! ! ! ! ! ! ! " $ # $ $ $ $ # $ # ’ $ 12 1 2 1 2 t ! ! ! ! ! # ’ $ (6.57) OPTI 201R Fall 2010 18-3 In general (if the lenses are not in air): ! Refract at L1: 1 1 1 1 ; 0 ; n u nu y u n u y ! ! " " " " # $ # # $ ! Transfer to L2: 2 1 2 1 1 1 ; t t y y n u y y y n n !...
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This note was uploaded on 08/23/2010 for the course OPTICS 201R taught by Professor Staff during the Spring '10 term at Arizona.

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OPTI 201R 10 L18 - OPTI 201R Fall 2010 18-1 6.7 Thick lens...

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