The Bessel beam must always pass through a finite aperture, which causes it to diffract. Recent research has focused on advantages of various apodization functions, such as the Gaussian. This note considers diffraction of an over constrained BG beam. The input beam is plotted in cross section below. The wavelength is .5 microns, the transverse units are in mm, the deviation of the modulating Gaussian is 1 mm.
Below is the cross section at 3 meters propagation.
