Show that Fraunhofer diffraction patterns have a center of symmetry [i.e., I(Y, Z) = I(-Y, -Z)], regardless

Question:

Show that Fraunhofer diffraction patterns have a center of symmetry [i.e., I(Y, Z) = I(-Y, -Z)], regardless of the configuration of the aperture, as long as there are no phase variations in the field over the region of the hole. Begin with Eq. (10.41). We€™ll see later (Chapter 11) that this restriction is equivalent to saying that the aperture function is real.

Ege(@t-kR) eik(Yy+Zz)/R dS (10.41) Aperture