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Fractional Fourier transform of apertured paraboloid refracting system
作者姓名:陈建农  闫金良  王德法  于永江
作者单位:Department of Physics Ludong University,Department of Physics Ludong University,Department of Physics Ludong University,Department of Physics Ludong University Yantai 264025,Yantai 264025,Yantai 264025,Yantai 264025
基金项目:This work was supported by Ludong University Re-search Foundation under Grant No. 20042811.
摘    要:The limitation of paraxial condition of paraboloid refracting system in performing fractional Fourier trans-form acts like an aperture, which makes the system different from ideal systems. With aperture expanded as the sum of finite complex Gaussian terms, a more practical approximate analytical solution of frac-tional Fourier transform of Gaussian beam in an apertured paraboloid refracting system is obtained and also numerical investigation is presented. Complicated and practical fractional Fourier transform systems can be constructed by cascading several apertured paraboloid refracting systems which are the simplest and the most basic units for performing more precise transform.

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