Single slit diffraction pattern in 2D

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Single slit diffraction can be observed in two dimensions, creating distinct horizontal and vertical patterns. The absence of diffraction patterns across the entire viewing screen is due to the principles of constructive and destructive interference. Each point on the slit acts as a source of spherical wavelets, but only specific angles produce observable patterns. The textbook emphasizes the 3D nature of wave propagation, which complicates the expected uniformity on the screen. Understanding these concepts is crucial for grasping the nuances of diffraction phenomena.
alingy1
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Hi all,

I was looking at previous exams and I saw a question with single slit diffraction. Please look at picture.

So, this made me think: "Wow, I never thought single slit diffraction could be applied in 2D with one pattern horizontal and the other vertical."

Then, I thought why is there no diffraction patterns along all the surface of the viewing screen. Can anyone explain why? The textbook I am using emphasizes how when a wave enters a boundary place, each point sends out its own spherical wavelet in 3D. So, why don't we see that on the viewing screen?
 

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Constructive and destructive interference I presume. You can draw it, we did this in first year undergrad.
 

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