Assume that aperture A axially located at z 1 is a full plane, i.e., A = R 2 , meaning that in fact there is no spatial restriction to the passage of light. Assume that a wave U is given by the...

Assume that aperture A axially located at z₁
is a full plane, i.e., A = R
₂
, meaning that in fact there is no spatial restriction to the passage of light. Assume that a wave U is given by the constant U (x₁, y₁) = U0 for all (x₁, y₁) ∈ R
₂
. Determine the Fresnel diffraction integral if the initial wave in A is given by U. Compare, using a computational software package, the resulting expression to a spherical wave originating at r0 = (0, 0, z₁).