we didn't cover interference/difraction or similar topics very well in my physics course. How much depth do I need to go on this? I have a review sheet that includes this info:
Is this plenty?
Is this plenty?
Light (Electromagnetic Radiation)
- Concept of interference, Young double slit experiment
- Review basic interference concepts here
- In order for interference to occur, the follow conditions must hold:
- the interfering light sources must be coherent. This means they must constantly maintain the same phase relationship. The light coming from the two slits in Young's double slit experiment are coherent because a single light source shines through both slits.
- the light source must be monochromatic (of single color/wavelength).
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- dsinθ = mλ
- bright bands occur at m = 0, +/-1, +/-2 ...etc
- dark bands occur at m = +/-0.5, +/-1.5, +/-2.5 ...etc
- Thin films, diffraction grating, single slit diffraction
- Thin films provide a means for interference to occur.
- Light reflecting off the outer and inner boundary of a thin film interfere with each other.
- A film of oil on water has the appearance of a swirly rainbow due to this interference.
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- Diffraction grating
- Diffraction = light spreads out after passing through the slit, instead of going in a straight path.
- Diffraction grating = a slab with many slits close together.
- The equation for a diffraction grating is the same as the double-slit experiment.
- dsinθ = mλ
- d is the distance between the slits, everything else is the same as the double-slit experiment.
- bright bands occur at m = 0, +/-1, +/-2 ...etc
- dark bands occur at m = +/-0.5, +/-1.5, +/-2.5 ...etc
- Single slit
- Light shining through a single slit casts a central bright band followed by a series of maximas and minimas on either side.
- The equation for a single slit diffraction is different from the equation for the double slit.
- asinθ = mλ
- a is the width of the slit.
- Maxima occurs for m = 0 (big central maxima), +/-1.5, +/-2.5 , etc.
- Minima occurs for m = +/-1, +/-2, +/-3, etc.
- Other diffraction phenomena, X-ray diffraction
- Light shining through a pin hole will not appear on the screen as a pin hole. Instead, it will be a diffraction pattern of circular bright and dark bands, with a central bright band.
- Light shining past an opaque boundary will not cast a sharp shadow of the boundary on the screen. Instead, fringes of bright and dark bands appear above the boundary.
- Light shining past a penny will not cast a completely black shadow. Instead, there will be a central bright spot, as well as patterns of bright and dark rings.
- X-ray diffraction = X-rays diffracting on a crystal. Patterns of interference that results from this is used to deduce the structure of the molecules in the crystal.