Why does it work out for single slit diffraction that points half a slit width apart cancel each other out?
I’m going to go through this more slowly on Monday. The cancellation happens only for certain, special, angles: those for which there would be a minimum in two-slit interference. Think of some point inside the slit: it will have one and only one partner a half slit-width away within the slit. If we are at the angle where light waves from A and B destructively interfere, then at this special angle, every point has a partner a half slit width away which kills its light, and you’ll be left with no light at all. That’s why there’s a minimum.
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