What do these submaxima represent - Interference Pattern

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In my notation ##I_0## is the intensity at ##x=0##. Just expand around ##x=0##, which gives
$$I(x) = I_0 + \mathcal{O}(x^2).$$
That's why I've put the ##1/N^2## factor in my formula.

See also the figures on p. 161 of my manuscript, cited already above.
 
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