title: Direct calculation of a three-dimensional diffracted field.
abstract: We present an approach to calculating the complex amplitude of a three-dimensional (3D) diffracted light field in the paraxial approximation based on a 3D Fourier transform. Starting from the Huygens-Fresnel principle, the method is first developed for the computation of the light distribution around the focus of an apertured spherical wave. The method, with modification, is then extended to treat the 3D diffraction of an aperture with an arbitrary transmittance function.
authors.affiliation: Photonics Research Centre, School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore.
authors.forename: J
authors.initials: J
authors.lastname: Lin
authors.forename: X-C
authors.initials: XC
authors.lastname: Yuan
authors.forename: S S
authors.initials: SS
authors.lastname: Kou
authors.forename: C J R
authors.initials: CJ
authors.lastname: Sheppard
authors.forename: O G
authors.initials: OG
authors.lastname: Rodríguez-Herrera
authors.forename: J C
authors.initials: JC
authors.lastname: Dainty
mesh_terms: D005583:Fourier Analysis; D008027:Light; D016011:Normal Distribution; D012542:Scattering, Radiation