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zheng89120
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1. Homework Statement [/b]
given the following probability distribution function from 5 slits (y is verticle on screen)
P(y) = A | \sum(from n=-2 to 2) exp(ikR(n)) |^2
where k = 2\pi/\lambda
and R(n) ~ \approx R-nyD/L
Show that the probability distribution as a function of angle from normal is:
P(theta) = |A|^2 |2 cos(2b[theta]) + 2 cos(b[theta]) + 1|^2
What is b??
2. Relevant equation
[theta] = y/L
Complex numers, Euler's equation
3. The Attempt at a Solution
I expanded out the equation with k and R_{n} plugged in - got a bunch of cos's and i*sin's. Too much to type...
given the following probability distribution function from 5 slits (y is verticle on screen)
P(y) = A | \sum(from n=-2 to 2) exp(ikR(n)) |^2
where k = 2\pi/\lambda
and R(n) ~ \approx R-nyD/L
Show that the probability distribution as a function of angle from normal is:
P(theta) = |A|^2 |2 cos(2b[theta]) + 2 cos(b[theta]) + 1|^2
What is b??
2. Relevant equation
[theta] = y/L
Complex numers, Euler's equation
3. The Attempt at a Solution
I expanded out the equation with k and R_{n} plugged in - got a bunch of cos's and i*sin's. Too much to type...
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