Lin Jie, Tan Jiubin, Liu Jian, Liu Shutian
Harbin Institute of Technology, Center of Ultra-Precision Optoelectronic Instrument, Harbin, China.
Opt Express. 2009 Feb 2;17(3):1466-71. doi: 10.1364/oe.17.001466.
The focal performance of the micro-axicon and the Fresnel axicon (fraxicon) are investigated, for the first time, by the rigorous electromagnetic theory and boundary element method. The micro-axicon with different angle of apex and the fraxicon with various period and angle of apex are investigated. The dark segments of the fraxicon are explored numerically. Rigorous results of focal performance of the micro-axicon and the fraxicon are different from the results given by the approximation of geometrical optics and the scalar diffraction theory. The scattering effects are dominant in the fraxicon with small size of feature. It is expected that our study can provides very useful information in analyzing the axicon in optical trapping systems.
首次运用严格的电磁理论和边界元方法研究了微轴棱锥和菲涅耳轴棱锥（分数轴棱锥）的聚焦性能。研究了具有不同顶角角度的微轴棱锥以及具有不同周期和顶角角度的分数轴棱锥。对分数轴棱锥的暗区进行了数值探究。微轴棱锥和分数轴棱锥聚焦性能的严格结果与几何光学近似和标量衍射理论给出的结果不同。在具有小特征尺寸的分数轴棱锥中，散射效应占主导。预计我们的研究能够为分析光阱系统中的轴棱锥提供非常有用的信息。
