Question

A certain diffracting screen, called Fresnel zone plate, with an amplitude transmittance T(x,y) = [1/2 + 1/2 sgn(cos(? ?(x^2 + y^2))) ] circ( ?(x^2 + y^2) / R ) is normally illuminated by a unit-amplitude, monochromatic plane wave. Show that the screen acts as a lens with multiple focal lengths. Specify the value of these focal lengths and the relative amounts of optical power brought to focus in the corresponding focal planes.

          A certain diffracting screen, called Fresnel zone plate, with an amplitude transmittance T(x,y) = [1/2 + 1/2 sgn(cos(? ?(x^2 + y^2))) ] circ( ?(x^2 + y^2) / R ) is normally illuminated by a unit-amplitude, monochromatic plane wave. Show that the screen acts as a lens with multiple focal lengths. Specify the value of these focal lengths and the relative amounts of optical power brought to focus in the corresponding focal planes.

$A certain diffracting screen, called Fresnel zone plate, with an amplitude transmittance T(x,y) = [1/2 + 1/2 sgn(cos(? ?(x^2 + y^2))) ] circ( ?(x^2 + y^2) / R ) is normally illuminated by a unit-amplitude, monochromatic plane wave. Show that the screen acts as a lens with multiple focal lengths. Specify the value of these focal lengths and the relative amounts of optical power brought to focus in the corresponding focal planes.$

Added by Justin B.

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