title: Numerical calculation of a converging vector electromagnetic wave diffracted by an aperture by using Borgnis potentials. I. General theory.
abstract: A method is proposed, on the basis of the vector electromagnetic theory, for the numerical calculation of the diffraction of a converging electromagnetic wave by a circular aperture by using Borgnis potentials as auxiliary functions. The diffraction problem of vector electromagnetic fields is simplified greatly by solving the scalar Borgnis potentials. The diffractive field is calculated on the basis of the boundary integral equation, taking into consideration the contribution of the field variables on the diffraction screen surface, which is ignored in the Kirchhoff assumption. An example is given to show the effectiveness and suitability of this method and the distinctiveness of the diffractive fields caused by the vector characteristics of the electromagnetic fields.
authors.affiliation: School of Electronic and Information Engineering, Xi'an Jiaotong University, China. xewang@xidian.edu.cn
authors.forename: Xueen
authors.initials: X
authors.lastname: Wang
authors.forename: Zhaozhong
authors.initials: Z
authors.lastname: Fan
authors.forename: Tiantong
authors.initials: T
authors.lastname: Tang