Undergrad Two slit experiment with different sized slits

[Cato]

TL;DR

How does performing the two slit experiment with different sized slits affect the interference pattern?

If the two slit experiment is performed with one slit half the width -- or 1% or 0.1% the width -- of the other, how is the interference pattern affected.

 

[BvU]

Do you know about Fourier transforms ? Convolution ?

http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/mulslid.html#c2

Because the single slit envelope is now built up of one narrow and one wide, the image will have less contrast : 'lower peaks, higher valleys' (gut feeling; actual calculation decides)

 

[Cato]

Thanks for the link to thee very nice site. Good graphics and descriptions. Intuitively, if anything in QM can be said to be intuitive, it does make sense that there would be less contrast. I don't know the math, but I wonder if using two slits of different widths would result in a pattern intermediate between single slit diffraction and double slit diffraction.