Propagation characteristics of linearly polarized BesselGaussian beams through an annular apertured paraxial ABCD optical system
Abstract
By means of Collins diffraction integral formula in the paraxial approximation and based on the fact that a hard aperture function can be expanded into a finite sum of complex Gaussian functions, an approximate analytical expression for linearly polarized BesselGaussian beams passing through a paraxial ABCD optical system with an annular aperture has been derived. The results provide more convenient for studying their propagation and transformation than the usual way by using diffraction integral directly. By using the analytical expression and the diffraction integral formula some numerical simulations are done to illustrate for the propagation characteristics of a linearly polarized BesselGaussian beam through an optical system with an annular aperture.
 Publication:

Optik
 Pub Date:
 2004
 DOI:
 10.1078/0030402600529
 Bibcode:
 2004Optik.115..529G
 Keywords:

 BesselGaussian beams;
 ABCD optical systems;
 diffraction integral;
 annular aperture