Irradiance from an aperture with a truncated J0 Bessel beam

In this paper we obtain an analytical expression for the intensity pattern associated with a field propagating from a circular aperture with a truncated J₀ Bessel beam distribution. The diffraction integral in the scalar diffraction theory is evaluated in both the far field and the near field and numerical results are presented for the irradiance pattern on the beam axis as well as in the transverse plane. General curves are drawn to show clearly the truncation effects of the aperture on the propagation characteristics of J₀ beams.