EFFICIENT COMPUTATION OF FRESNEL ZONE FIELDS ASSOCIATED WITH CIRCULARAPERTURES

Efficient computation of the Fresnel-zone fields for circular aperture s plays an important role in applications where the frequency, apertur e size, and observation location axe such that the Fraunhofer approxim ation is not justified. If an adequate approximation for the aperture field distribution is known, then the standard procedure for computing the Fresnel-zone field distribution involves a time-consuming numeric al integration over the aperture field distribution. In this paper, we will represent the Fresnel-zone field for some commonly used aperture field distributions in terms of incomplete Weber integrals, thereby a voiding the need for numerical integration. Since the incomplete Weber integrals are related to the incomplete Lipschitz-Hankel integral of the first kind, four Bessel series expansions are used to dramatically reduce the computation time required to compute the Fresnel-zone elec tric fields.