I read in a text of optics Eugene Hecht where i got that, missing fringes in a double-slit interference experiment results when diffraction minima cancel interference maxima.
Is there any relationship between the the slit width w and source distance d, so I can tell when the maxima could be missing?
Answer
In my (ancient) copy of Hecht and Zajac (1980), the answer is found in figure 10.18. It shows that for slit spacing $a$ and slit width $b$, peaks in the diffraction pattern are spaced $\lambda/d$ while the first zero due to the finite width is at $\lambda/b$. In the figure, $a = 3b$ and the third peak is suppressed:
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