p34_098 - = p 1 sin 2 . In the critical case, comp must...

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98. (a) When examining Fig. 34-73, it is important to note that the angle (measured from the central axis) for the light ray in air, θ , is not the angle for the ray in the glass core, which we denote θ 0 .Thelaw of refraction leads to sin θ 0 = 1 n 1 sin θ assuming n air =1 . The angle of incidence for the light ray striking the coating is the complement of θ 0 ,wh i chw e denote as θ 0 comp and recall that sin θ
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Unformatted text preview: = p 1 sin 2 . In the critical case, comp must equal c specied by Eq. 34-47. Therefore, n 2 n 1 = sin comp = p 1 sin 2 = s 1 1 n 1 sin 2 which leads to the result: sin = p n 2 1 n 2 2 . (b) With n 1 = 1 . 58 and n 2 = 1 . 53, we obtain = sin 1 ( 1 . 58 2 1 . 53 2 ) = 23 . 2 ....
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