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Math Jeans
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Homework Statement
For single-slit diffraction, calculate the first three values of [tex]\phi[/tex] (the total phase difference betweenrays from each edge of the slit) that produce subsidiary maximu by
a) using the phasor model
b) setting [tex]\frac{dI}{d\phi} = 0[/tex], where I is given by [tex]I = I_0 \cdot (\frac{sin(\frac{1}{2} \cdot \phi)}{\frac{1}{2} \cdot \phi})^2[/tex]
Homework Equations
given
The Attempt at a Solution
I attempted to do part b first as I already knew the answers from part a (fairly straight forward) and was using them to check my answer.
I realized that even though I had used the exact described method, my answer was completely different as my values for phi ended up as:
1) [tex]\pi[/tex]
2) The first non-zero solution to [tex]tan(\frac{\phi}{2}) = \frac{\phi}{2}[/tex]
3) [tex]2 \cdot \pi[/tex]