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Unformatted text preview: Homework 2 Chapt. 23 23.15. Model: Represent the laser beam with a single ray and use the ray model of light. Solve: Using Snell’s law at the airwater boundary, air air liquid liquid sin sin n n θ θ = ⇒ air liquid air liquid sin sin37 1.0 1.37 sin sin 26 n n θ θ ° = = = ° Assess: As expected, n liquid is larger than n air . 23.22. Model: Use the ray model of light. Visualize: Solve: Using Snell’s law, air red red sin30 sin n n θ ° = ⇒ 1 red sin 30 sin 19.2 1.52 θ ° = = ° air violet violet sin30 sin n n θ ° = ⇒ 1 violet sin30 sin 18.8 1.55 θ ° = = ° Thus the angular spread is red violet 19.2 18.8 0.4 θ θ θ Δ = = °  ° = ° 23.58. Model: Use the ray model of light. Solve: (a) Using Snell’s law at the airglass boundary, with φ being the angle of refraction inside the prism, air sin sin n n β φ = ⇒ sin sin n β φ = Considering the triangle made by the apex angle and the refracted ray, ( ) ( ) 1 2 90 90 180 φ φ α φ α °  + °  + = ° ⇒ = Thus ( ) ( ) 1 1 1 2 2 sin sin sin...
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 Spring '10
 ZHOU
 Sin, Total internal reflection, Geometrical optics, ray tracing

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