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Lecture 15 Ray Optics Chapter 23

Lecture 15 Ray Optics Chapter 23. PHYSICS 270 Dennis Papadopoulos March 9, 2010. Wave vs. Ray Model. l≈500-700 nm. Ray Optics. Self Luminous vs. Reflected. Line of sight. Important Concepts. Pictorial Representation - Ray Diagrams. Apertures – Camera Obscura.

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Lecture 15 Ray Optics Chapter 23

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  1. Lecture 15Ray Optics Chapter 23 PHYSICS 270 Dennis Papadopoulos March 9, 2010

  2. Wave vs. Ray Model l≈500-700 nm

  3. Ray Optics Self Luminous vs. Reflected Line of sight

  4. Important Concepts

  5. Pictorial Representation - Ray Diagrams

  6. Apertures – Camera Obscura

  7. A long, thin light bulb illuminates a vertical aperture. Which pattern of light do you see on a viewing screen behind the aperture?

  8. A long, thin light bulb illuminates a vertical aperture. Which pattern of light do you see on a viewing screen behind the aperture? Light spreads horizontally due to different parts of the lightbulb Light spreads vertically as it goes through the vertical aperture

  9. The Plane Mirror – Virtual Image Reflected rays coming from point P’ – The Virtual; Image Point – s=s’

  10. Two plane mirrors form a right angle. How many images of the ball can you see in the mirrors? 1 2 3 4

  11. Two plane mirrors form a right angle. How many images of the ball can you see in the mirrors? 1 2 3 4

  12. Image Formation Object point (P,Q) maps to Virtual Image point (P’,Q’) : Rule

  13. Index of Refraction Phase of wave rotates faster in materials than in vacuum

  14. Reflection and Refraction Snell 1621 sinqi=n sinqr Snell’s law allow us to predict how light is going to bend in going fro air to water n=1.5 Ptolemy 140 AD Is there a way of thinking that makes this evident and proves its generality -> Fermat

  15. Fermat’s Principle of Least Time Of all possible paths that light takes to get from one point to another light takes the path that corresponds to the shortest time AEB=AEB’ Shortest length from A to B after hitting the mirror is the one that goes as a straight line from A to B’, i.e. ACB’. Notice that ACB has equal incidence and reflection angles Angle BCF=Angle B’CF= Angle DCA

  16. Fermat’s Principle for Refraction qi qr The slower the medium the smaller the refraction angle Snell’s law

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