Refocussing Young's double slits

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Main Question or Discussion Point

In the Young's double slit experiment, we have interferences stripes in the infinite space (ie in the focal plane of the fisrt lens we put after the slits.

I now put a second lens after this "pupill plan" (after the focal plan of the 1 lens).
I should produce the image of the 2 slits in the focal plan of the 2nd lens.

My question is this one : what is the angular distribution of light for each of the imaged slit ?
gaussian or "with stripes" ?

I would love to read all your arguments
 

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