PS1_2005

# PS1_2005 - 10 x 5 1 s m 10 x 3 km 10 x 5 1 v d t t d v 8 11...

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I.1 I.2 For non-magnetic media, the index of refraction can be defined in terms of the dielectric constant: K n 2 = For K=9, 3 9 K n K n 2 = = = = I.3 Velocity of light in a given medium: n c c medium = a. water; n=1.333: s m 10 x 25 . 2 333 . 1 s m 10 x 3 c 8 8 water = = b. glass; n=1.5: s m 10 x 00 . 2 5 . 1 s m 10 x 3 c 8 8 glass = =

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c. ZnSe; n=3.5: s m 10 x 57 . 8 5 . 3 s m 10 x 3 c 7 8 ZnSe = = I . 4 ' 1 ' 1 1 1 reflected incident sin n sin n θ = = Top Surface: From equations given: () () refracted , top 1 ' 1 1 ' 1 1 1 ' 1 ' 1 ' 1 1 1 reflect , top incident 4 . 16 25 sin 5 . 1 1 sin sin n n sin sin n sin n 25 25 = ° = ° = = = ° = ° = Bottom Surface: For a plane parallel plate, the angle of refraction at the first surface is the angle of incidence at the second surface, therefore: ° = ° = 4 . 16 4 . 16 reflected , bottom incident , bottom Also for a plane parallel plate: 2 2 ' 1 ' 1 sin n sin n = In this case, θ bottom, incident = θ top, refracted =16.4º. Solving for θ bottom, refracted , use either Snell’s Law or realize that θ bottom, refracted = θ top,incident =25º. I.5 min 3 1 8 sec 500 s m 10 x 3 m

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Unformatted text preview: 10 x 5 . 1 s m 10 x 3 km 10 x 5 . 1 v d t t d v 8 11 8 8 = = = = = = I.6 I.7 ( ) ( ) 5 . 1 cm 2 cm 18 1 cm 21 L L n cm 21 n L n L n cm 21 1 OPL OPL cm 20 1 cm 20 nL OPL glass air air glass glass glass air air 1 2 1 = ∗ − = − = + = = + = = ∗ = = I.8 I.9 I.10 a. s m 10 78 . 1 m N C 10 5 . 2 C S N 10 4 1 1 v m N C 10 5 . 2 C S N 10 4 8 2 2 11 2 2 7 m m m 2 2 11 m 2 2 7 m × = − × × − × = = − × = − × = − − − − π ε µ b. 84 . 2 s m 10 x 78 . 1 s m 10 x 3 c c n K 2 8 8 2 m 2 = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = = Also for a non-magnetic material: 82 . 2 m N C 10 x 85 . 8 m N C 10 x 5 . 2 K 2 2 12 2 2 11 m = − − = = − −...
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PS1_2005 - 10 x 5 1 s m 10 x 3 km 10 x 5 1 v d t t d v 8 11...

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