Sketch the far field diffraction pattern In recitation the far-field diffraction

Question

Sketch  the far field diffraction pattern

In recitation the far-field diffraction pattern of a circular aperture of radius a was presented. Sketch the far field diffraction pattern you would see at a constant z as a function of x and as a function of y for two circular apertures of radius a at a distance d apart on the x axis, with the origin placed in the middle between the apertures as shown in the picture, assuming d>2a. What happens to the diffraction pattern as d gets bigger? What happens to the diffraction pattern as d gets smaller? How does the pattern change with z

Explanation / Answer

We know from the relation

B = (m x L x D/d)

where B is fringe width,m is order,L is wavelength of light,D is distance between source and screen and d is width of slits

When d is smaller then B is large and viceversa

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