If a single slit diffracts, what about a double slit?

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Wave Nature of Light  Refraction  Interference  Young’s double slit experiment  Diffraction  Single slit diffraction  Diffraction grating.
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Presentation transcript:

If a single slit diffracts, what about a double slit? Remember the double-slit interference pattern from the chapter on interference? If the slit width (not the spacing between slits) is small (i.e., comparable to the wavelength of the light), you must account for diffraction. interference only

Double Slit Diffraction with a   Single Slit Diffraction  P L r1 r2 a  O x y y

Interference maxima occur for Diffraction Gratings A diffraction grating consists of a large number of equally spaced parallel slits. The path difference between rays from any two adjacent slits is  = dsin .  If  is equal to some integer multiple of the wavelength then waves from all slits will arrive in phase at a point on a distant screen. d  = d sin  Interference maxima occur for

Diffraction is not the same as refraction!

Ok what’s with this equation monkey business? double-slit interference constructive single-slit diffraction destructive! diffraction grating constructive d  double slit and diffraction a  a single slit but destructive

Diffraction Grating Intensity Distribution Interference Maxima:  d  = d sin  The intensity maxima are brighter and sharper than for the two slit case. See here and here.

You can view the atomic spectra for each of the elements here. Application: spectroscopy visible light hydrogen helium mercury You can view the atomic spectra for each of the elements here.