Interference and the Two-slit Experiment

• The Principle of Superposition states that when several light waves coincide, the result is equal to the sum of the individual waves. Phases are important!
• If two light waves of same wavelength and phase travel different distances to reach the same point, their interference will be
  • constructive if difference in path length is integer number of wavelengths
  • destructive if difference in path length is half-integer number of wavelengths
• The double-slit experiment forces light waves to interfere on a distant wall after travelling different distances
• Consider a point on the distant wall a distance y = L sin(theta) away from the center point. Light will interfere
  • constructively (light spot) if

                   d sin(theta) = m lambda               m = 0, 1, 2, ... 
    

  • destructively (dark spot) if

                   d sin(theta) = (m + 1/2) lambda       m = 0, 1, 2, ... 
    

  where d is the separation of the two slits, and lambda is the wavelength of the light.

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   Q:  What type of light source produces
       coherent light waves?

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     Joe shines a blue light of wavelength 450 nm
     through a pair of slits which are 0.2 mm apart.


       Q:  Find three angles at which Joe will find 
           a bright spot on the distant wall.


       Q:  Find three angles at which Joe will find 
           a dark spot on the distant wall.


 
       

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