Irradiance from an Aperture with a Truncated-Gaussian Field Distribution

In this paper we obtain an analytical expression for the irradiance pattern, in both the far field and near field, associated with the field propagating from an aperture with a truncated-gaussian field distribution. This is accomplished by evaluating the diffraction integral subject to the Fresnel approximation. Numerical results are presented, which indicate how the patterns vary as the width of the truncated-gaussian field distribution changes.