Diffracted wavefield by an arbitrary aperture from Maggi–Rubinowicz transformation: Fresnel approximation

The major purpose of this paper is to establish a general and explicit formula for calculating diffracted wavefield from Maggi–Rubinowicz transformation under Fresnel approximation. It is demonstrated that solution expression, always involves Fresnel integrals. The 2-D integration (Rayleigh–Sommerfeld or Helmholtz–Kirchhoff integral formulas) is so reduced to a 1-D integration over the rim of the aperture, with advantage of this approach in numerical evaluations.