How can you show with a diagram that diffraction is at a maximum when the slit width is equal to the wavelength?

Feb 2020
5
0
UK
Usually a diagram will be given like this



enter image description here


But how can you show with a diagram that diffraction can be maximised when the slit width is of the order of the wave's wavelength?
 
Oct 2017
676
348
Glasgow
I think having three diagrams side by side might do it:

1. The case where \(\displaystyle W < \lambda\);
2. The case where \(\displaystyle W \approx \lambda\); and
3. The case where \(\displaystyle W > \lambda\)
 
Feb 2020
5
0
UK
I think having three diagrams side by side might do it:

1. The case where \(\displaystyle W < \lambda\);
2. The case where \(\displaystyle W \approx \lambda\); and
3. The case where \(\displaystyle W > \lambda\)

This makes sense, but I was looking more for a visual explanation as to why this happens rather than just demonstrating it. So the real question should have been 'how can you draw the wavelength of a wave to show that when the slit is of the order of the wavelength diffraction is at a maximum?'