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 from S to the periphery of the hole is (R ), show that Fraunhofer diffraction will occur on a very distant screen when R 2 2 What is the smallest satisfactory value of R if the hole has a radius of 1 mm, 10, and 500 nm

Question: 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

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 from S to the periphery of the hole is (R + ℓ), show that Fraunhofer diffraction will occur on a very distant screen when

λR >> α²/2

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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