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Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
Phasors  Refraction And  Gratings
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Phasors Refraction And Gratings

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  • 1. How can phasors explain refraction and diffraction gratings? Quantum Behaviour
  • 2. To review…
    • Last lesson:
      • We found out photons explore ‘all paths’ when going from a source to a detector
      • The path length has an effect on the orientation of the phasor when it hits the detector
      • If phasors ‘line up’ they increase the probability of light at that point
      • If phasors ‘curl up’ they reduce the probability of light at that point
      • Probability = Resultant 2 = Intensity
      • For a mirror, the shortest paths are more likely to result in light
  • 3.  
  • 4.  
  • 5. Refraction with Phasors
    • Today we will:
      • Use the phasor model (quantum model) to explain light behaviour during
          • Refraction
          • Grating
      • To start – what is the probability of light due to the phasors below..?
      • What is the maximum probability from this combination?
  • 6. Resultant and Intensity
    • Add all of the arrows ‘tip-to-tail’…
    • Where they ‘line up’ is where the photons make the greatest contribution
    • Where they ‘curl up’ they make the least contribution
    Phasors ‘ curl up ’ Low intensity due to these paths Phasors ‘ line up ’ High intensity due to these paths
  • 7.
    • Add ‘tip to tail’
    • Resultant = 1 therefore 1 2 = 1
    • Maximum possible resultant = 3
    • Maximum probability = 3 2 = 9
  • 8. Refraction
    • Let’s try the same thing with Refraction…
  • 9. Refraction
    • With refraction, the phasors travel at different speeds in different media.
    • Light also changes direction – does quantum theory support this?
  • 10. Curved Mirrors and Gratings
    • To make photons ‘line-up’ there are 2 others ways:
      • Curved mirror
      • Grating
  • 11. Curved Mirror
    • With a plane (flat) mirror, there is not much chance of photons ‘lining-up’ at the detector
  • 12. Curved Mirror
    • With a curved mirror, there is more chance of photons ‘lining-up’ at the detector
  • 13. Gratings
    • A Grating gives a pattern due to constructive and destructive interference in the waves explanation of light.
    But can we explain this using ‘quantum theory’?
  • 14.  
  • 15.  

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