Experiment 12
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Interference
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Objectives:
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To use diffraction and interference of light
to determine widths of small openings and obstacles. |
Introduction
The wave nature of electromagnetic radiation can most easily be demonstrated in the
closely related phenomena of diffraction and interference. When we are dealing with
obstacles or apertures much larger than the wavelength, electromagnetic radiation appears
to travel in straight lines, subject to the laws of reflection and refraction. The study
of electromagnetic radiation under these conditions is called geometric or ray optics.
However, when the obstacles or apertures are of order of the same size as the wavelength
or smaller, electromagnetic radiation appears to spread out in all directions at the
edges. This is called diffraction.
Interference
Like all waves, electromagnetic waves can be made to interfere. If two rays of equal
amplitude are in phase (meaning that the phase difference between them is an integer times
360 degrees), they will interfere constructively or reinforce, and the result is a wave of
twice the amplitude (four times the intensity) or the original. If they are completely out
of phase (phase difference is an integer-and-a- half times 360 degrees), they will
interfere destructively or cancel, and the result will be no wave at all. The phase
difference depends on path difference. If two waves start out in phase (say from a laser),
then travel different paths, there will be a phase difference equal to 360 degrees times
the path difference divided by the wavelength. Thus, to sum up:
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| path difference = integral number of wavelengths |
| Figure 1 |
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| path difference = ½ integral number of wavelengths |
| Figure 2 |
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