柱透镜的位相变换作用

The Phase Transformation Function of Cylindrical Lens

基于薄透镜假定和傍轴近似,给出了包含标准圆柱透镜、椭圆柱透镜、抛物柱透镜、双曲柱透镜等二次柱面透镜的位相变换因子,说明柱透镜这类位相物体在衍射光场中的单向调制作用,同时结合菲涅耳衍射实例体现了这类单柱透镜在实现组合变形分数傅里叶系统中的基元特性、灵活性及实用性.

Based on the thin lens assumption and paraxial approximation, the phase transformation factor of the secondary cylindrical lens, including standard cylindrical lens, elliptic cylinder lens, parabolic cylindrical lens and hyperbolic column lens are given. The unidirectional modulation effect of colums lens, this kind of phase objects in lens achieve the the diffraction light field is explained. And combing with fresnel diffraction, the single column realizing the combination deformation fractional Fourier system in primitive characteristics, flexibility and practicability.