title: Propagation of Bessel-Gaussian beams through a double-apertured fractional Fourier transform optical system.
abstract: Based on the scalar diffraction theory and the fact that a hard-edged aperture function can be expanded into a finite sum of complex Gaussian functions, an approximate analytical solution for Bessel-Gaussian (BG) beams propagating through a double-apertured fractional Fourier transform (FrFT) system is derived in the cylindrical coordinate. By using the approximate analytical formulas, the propagation properties of BG beams passing through a double-apertured FrFT optical system have been studied in detail by some typical numerical examples. The results indicate that the double-apertured FrFT optical system provides a convenient way for controlling the properties of the BG beams by properly choosing the optical parameters.
authors.affiliation: School of Mathematics & Physics, Changzhou University, Changzhou 213164, China.
authors.forename: Bin
authors.initials: B
authors.lastname: Tang
authors.forename: Chun
authors.initials: C
authors.lastname: Jiang
authors.forename: Haibin
authors.initials: H
authors.lastname: Zhu