Propagation characteristics of linearly polarized Bessel-Gaussian beams through an annular apertured paraxial ABCD optical system |
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Authors: | Juguan Gu Juguan Gu Daomu Zhao Zhangrong Mei Zhangrong Mei Haidan Mao Haibin Xu |
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Affiliation: | aDepartment of Physics, Zhejiang University, Hangzhou 310027, China;bDepartment of Physics, Huzhou University, Huzhou 313000, China |
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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 Bessel-Gaussian 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 Bessel-Gaussian beam through an optical system with an annular aperture. |
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Keywords: | Bessel-Gaussian beams ABCD optical systems diffraction integral annular aperture |
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