Fraunhofer Diffraction of Light Through a Circular Aperature : When parallel light casts a shadow, there will be small diffraction ridges along the edge of the shadow. These ridges become smaller when the frequency of the light is increased. See also my single slit diffraction of a green laser.
(* runtime: 16 seconds *)
Clear[i]; lambda = 500*^-9; k = 2Pi/lambda; a = 80*^-6; i[rho_] := (2Pi a BesselJ[1, k a rho]/(k rho))^2;
DensityPlot[i[Sqrt[u^2 + v^2]], {u, -0.01, 0.01}, {v, -0.01, 0.01}, Mesh -> False, PlotPoints -> 275, Frame -> False]
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