Chinese Optics Letters, 2007, 5 (1): 18, Published Online: Jan. 11, 2007
Fractional Fourier transform of apertured paraboloid refracting system Download: 705次
傅里叶光学 抛物面折射系统 分数傅里叶变换 孔径 近轴条件 070.2590 ABCD transforms 050.1220 Apertures 120.4820 Optical systems 140.3300 Laser beam shaping
Abstract
The limitation of paraxial condition of paraboloid refracting system in performing fractional Fourier transform 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 fractional 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.
Jiannong Chen, Jinliang Yan, Defa Wang, Yongjiang Yu. Fractional Fourier transform of apertured paraboloid refracting system[J]. Chinese Optics Letters, 2007, 5(1): 18.