23_InstSolManual_PDF_Part24

# 23_InstSolManual_PDF_Part24 - the lateral displacement d S...

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23.91. Set Up: The path of the ray is sketched in Figure 23.91. Let L be the length of the path of the ray inside the plate. Figure 23.91 Solve: (a) Apply Snell’s law to the air plate refraction: Apply Snell’s law to the plate air refraction: Combining these two equations gives and (b) and Combining these two equations to eliminate L gives as was to be shown. (c) gives and Reflect: The result derived in part (b) applies to a plate of any thickness. means the incident and emerging rays are parallel. In the limit of a thin plate (
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Unformatted text preview: ), the lateral displacement d S 0. t S u a 5 u r a d 5 t sin 1 u a 2 u r b 2 cos u r b 5 1 2.40 cm 2 sin 1 66.0° 2 30.5° 2 cos 30.5° 5 1.62 cm. u r b 5 30.5°. sin u r b 5 n sin u a n r 5 1 1.00 2 sin 66.0° 1.80 n sin u a 5 n r sin u r b d 5 t sin 1 u a 2 u r b 2 cos u r b , t 5 L cos u r b . d 5 L sin 1 u a 2 u r b 2 u a 5 u r a . n sin u a 5 n sin u r a n r sin u r b 5 n sin u r a . S n a sin u a 5 n r sin u r b . S u a n n 9 n L t u9 a u9 b u9 b u a 2 u9 b d 23-24 Chapter 23...
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