A point source S is a perpendicular distance R away from the center of a circular hole of radius a in an opaque screen. If the distance to the periphery is (R + ℓ), show that Fraunhofer diffraction will occur on a very distant screen when
λR» a2/2
What is the smallest satisfactory value of R if the hole has a radius of 1 mm, ℓ≤λ/10, and λ − 500 nm?
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