光学 精密工程, 2009, 17 (10): 2506, 网络出版: 2010-08-31
轴棱锥顶点加工误差的修正
Modification of vertex manufacture error on an axicon
摘要
由菲涅耳衍射理论出发,分析了轴棱锥顶点加工精度对光束传输特性的影响。分析指出,当轴棱锥顶点加工成圆形时,它相当于一个平凸镜,对光束起点聚焦作用;而真实加工成的轴棱锥更贴近双曲线顶点模型,这时衍射光束因为干涉效应产生强烈振荡,形成畸变无衍射光束。理论推导了不同顶点加工轴棱锥的衍射光场表达式,模拟分析了光束传输变换特性,最后针对双曲线顶点加工的轴棱锥提出通过遮挡中心入射光线消除顶点由不同频率衍射光束叠加造成的干涉效应的改进方案,修正后的光束特性效果理想,对实际加工的轴棱锥应用具有指导意义。
Abstract
Based on the Fresnel diffraction theory, the influence of the vertex manufacture precision of an axicon on the light propagation is analyzed in detail. It is points out that the axicon is equal to a plano-convex lens for focusing the beams when the vertex is machined to a circle. However,the blunt-tip region of a real axicon can be described actually by a hyperbola, where the aberration non-diffracting beams will be formed due to the interference oscillation. This paper presents the theoretical derivations of diffractive fields from the axicon with different vertexes and analyzes and simulates their characteristics of beam propagation and transformation. Finally, a method for modifying the influence of a hyperbola-tip axicon is proposed to correct the interference effect and to obtain an approximate non-diffraction beam. It is shown that proposed method has guiding significance to the application of the real manufacture axicon.
吴逢铁, 江新光. 轴棱锥顶点加工误差的修正[J]. 光学 精密工程, 2009, 17(10): 2506. WU Feng-tie, JIANG Xin-guang. Modification of vertex manufacture error on an axicon[J]. Optics and Precision Engineering, 2009, 17(10): 2506.