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Unformatted text preview: the lines move out and there
are fewer of them.
d) The angles decrease, but there are still the same
number minima / maxima lines.
e) I think answer a) is right or wrong. Sunday, February 24, 2013 Maxima and Minima Algebra
You can see from the demo & simulation that when you shift
the frequency or the distance between the sources the
interference pattern does move around. Higher frequencies
reduce the angles between the minima and maxima.
Since the sources emit light in phase, maxima and minima at
the same time, there is constructive interference when at a
point these add. This happens when the sources are an integral
number of wavelengths different distance from some point.
r2  r1 = mλ, with m = 0, ±1, ±2, ...
For minima, we want destructive interference:
r2  r1 = (m+½)λ, with m = 0, ±1, ±2, ...
You could also analyze the interference based on the time
difference from one source vs. the other to a given point being
an integral (or halfintegral) number of periods. Sunday, February 24, 2013 Maxima and Minima Algebra Assume that the two sources are in
phase.
For maxima, we want constructive
interference:
r2  r1 = mλ, with m = 0, ±1, ±2, ...
For minima, we want destructive
interference:
r2  r1 = (m+½)λ, with m = 0, ±1, ±2, ... Sunday, February 24, 2013 Water Analog
For maxima, we want constructive
interference:
r2  r1 = mλ, with m = 0, ±1...
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This document was uploaded on 02/18/2014 for the course PHYS 228 at Rutgers.
 Spring '12
 RonGilman
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