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OPTI 201R 10 L22 - 22-1 Example 7.1(out of the book Find...

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OPTI 201R Fall 2010 22-1 Example 7.1 (out of the book) Find the locations of P, N, F, P*, N*, and F*: Approach using Gaussian reduction ! #$%&’%$() (*) +,-). ,/ )$&* 0’./$&)1 ! #$%&’%$() (*) ,2).$%% +,-).1 ! #$%&’%$() (*) )//)&(32) /,&$% %)45(* 6/7 = -f = efl in air). ! #$%&’%$() 8 (, %,&$() 9 and N relative to V 1 . ! #$%&’%$() 87 (, %,&$() 97 and N* relative to V 2 . ! #$%&’%$() ::; < / = 8 (, %,&$() : .)%$(32) (, > 1 . ! #$%&’%$() ?:; < /7 = 8 * to locate F* relative to V 2 . ! "! " ! " ! " mm m m m n n t mm m m m n n t mm m m f f efl D m m m m m n t D m R n n D m R n n 376 . 9 1 555 . 3 10 5 . 1 005 . 251 . 6 1 555 . 3 667 . 6 5 . 1 005 . 3 . 281 2813 . 555 . 3 1 555 . 3 667 . 6 10 5 . 1 005 . 667 . 6 10 667 . 6 075 . 5 . 1 1 ; 10 050 . 1 5 . 1 1 1 12 1 1 1 12 2 1 1 1 1 1 2 1 2 1 12 2 2 1 1 # $ % & ( ) * # $ + + , + # $ # $ # % & ( ) * $ , + $ $ $ $ # $ $ $ # # # $ + # - $ # $ # $ + # + + $ $ # $ # + $ # # . # # # . # # # # / / 0 / / 0 / / / / / / / mm mm mm f BFD F V mm mm mm f FFD F V 9 . 271 376 . 9 3 . 281 55 . 287 251 . 6 3 . 281 2 1 $ # $ - $ $ # $ # # $ - $ $ . . ! 0 0
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OPTI 201R Fall 2010 22-2 P and N are located 6.25mm to the left of V 1 F is located 271.9mm to the right of V 1 P* and N* are located 9.38mm to the left of V 2 F* is located 271.9mm to the right of V 2 Approach using a paraxial raytrace ! @.3)4( (*) %)40 $0 0*,-4 $A,2) 6B 1 =+50mm, R 2 =+75mm) ! C.$&) $ .$D /.,E - F 6+$.$%%)% (, (*) $G30H1 ! I,&$() : *, P*, and N* ! C’.4 (*) %)40 $.,’4J 6B 1 = -75mm, R 2 = -50mm) ! C.$&) $ .$D /.,E - F 6+$.$%%)% (, (*) $G30H1 ! I,&$() :K 9K $4J L ! #*,,0) $4 6$.A3(.$.DH .$D *)35*( D 1 = 1mm = .001m (R 1 =+50mm, R 2 =+75mm) ! B)/.$&( (*) .$D $( 0’./$&)MN ! " ! " 01 . ; 10 001 . ; 0 ; 1 1 1 # $ + + # $ + + $ # $ + + # u n m m u n u y nu u n / ! C.$40/). (*) .$D /.,E 0’./$&)M (, 0’./$&)ON
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