title: Vectorial nonparaxial propagation equation of elliptical Gaussian beams in the presence of a rectangular aperture.
abstract: Based on the vectorial Rayleigh-Sommerfeld diffraction integrals, an analytical propagation equation of vectorial, nonparaxial, elliptical Gaussian beams through a rectangular aperture is derived. Unlike in previous work, the aperture effect and nonrotational symmetry of the beam and aperture are considered in our theoretical model. The results of the far-field and paraxial approximation for the apertured case are treated as special cases of our general expression. It is found that two f parameters fx, fy and two truncation parameters deltax, deltay in the x and y directions, respectively, have to be introduced that affect the beam nonparaxial evolution behavior in both the near field and the far field.
authors.affiliation: Department of Physics, Luoyang Normal College, Luoyang 471022, China. kl.duan@163.com
authors.forename: Kailiang
authors.initials: K
authors.lastname: Duan
authors.forename: Baida
authors.initials: B
authors.lastname: Lü