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Lecture 28, Wednesday April 15

Lecture 28, Wednesday April 15. Diffraction Grating Thin Film Interference Single Slit Diffraction. Problems due Today. 17: 13, 17, 19, WB 25: 1-18 13: diffraction grating 17: ditto 19: skip b WB 17: 1-9 pictures of interference 25 : 19, 22, 28, 29, 31. Two slit interference.

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Lecture 28, Wednesday April 15

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  1. Lecture 28, Wednesday April 15 Diffraction Grating Thin Film Interference Single Slit Diffraction

  2. Problems due Today • 17: 13, 17, 19, WB 25:1-18 • 13: diffraction grating • 17: ditto • 19: skip b • WB 17: 1-9 pictures of interference • 25: 19, 22, 28, 29, 31

  3. Two slit interference • Young demonstrated light behaved as a wave. • Bright fringes occurred at angles • For small angles

  4. QUIZ # 9 • Two narrow slits 0.04 mm apart are illuminated by light from a HeNe laser (λ = 633 nm). • What is the angle of the first (m = 1) bright fringe? • What is the angle of the thirtieth bright fringe? Slide 17-11

  5. Index of Refraction—cf. Lab last week • Index of refraction

  6. The Diffraction Grating Slide 17-12

  7. The Intensity Pattern Due to a Diffraction Grating Slide 17-14

  8. The Fringes Become Very Narrow as the Number of Slits is Increased Slide 17-15

  9. A Diffraction Grating Splits Light into the Wavelengths That Make It Up Slide 17-16

  10. All waves spread out after passing through a small enough gap in a barrier. This phenomenon is known as • Antireflection • double-slit interference • Refraction • diffraction

  11. Problems due Friday • 17: 1, 2, 4, 7, 9, 10, 12 • 2: speed in glass • 4: wavelength in glass • 7: two slit interference • 9: ditto, given d and y5 – y1, find λ • 10: two slits given fringe spacing, λ • 12: Δr

  12. Problems • 25: 19 E = 10 V/m in an electromagnetic wave. What is B? • 22: • What is λ, f, and electric field amplitude? • 28: I = 10 W/m2 for a linearly polarized wave. Intensity through polarizer with b) θ = 300 ?

  13. More Problems • 29: 25% passes polarizer. Angle of polarizer with respect to electric field? • 31: Unpolarized light with I = 350 W/m2 • What is I after two polarizers with second axis 350 to axis of first?

  14. Problems 17 • CQ1: frequency in water, glass • CQ3: change in λn , does it change apparent color? • MC17: what changes when light enters glass? • 1: travel time through piece of glass

  15. Thin-Film Interference Slide 17-17

  16. Phase Changes Due to Reflection Slide 17-18

  17. Analyzing Thin-Film Interference Slide 17-19

  18. Single-Slit Diffraction Light passing through a narrow slit spreads out beyond the slit. Slide 17-23

  19. Analyzing Single-Slit Diffraction Slide 17-24

  20. Single-Slit Diffraction: Positions and Intensities Slide 17-25

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