Kotlyar Victor V, Kovalev Alexey A, Porfirev Alexey P
J Opt Soc Am A Opt Image Sci Vis. 2016 Dec 1;33(12):2376-2384. doi: 10.1364/JOSAA.33.002376.
We derived exact analytical relationships to describe the complex amplitude of a perfect optical vortex generated by means of three different optical elements, namely, (i) an amplitude-phase element with a transmission function proportional to a Bessel function, (ii) an optimal phase element with a transmission equal to the sign function of a Bessel function, and (iii) a spiral axicon. The doughnut intensity was shown to be highest when using an optimal phase element. The spiral-axicon-aided diffraction ring was found to be twice as wide as when generated using two other elements. Thus, the optimal filter was shown to be best suited for generating a perfect optical vortex. The simulation results were shown to corroborate theoretical predictions, with the experiment being in agreement with theory and simulation.
我们推导了精确的解析关系，以描述通过三种不同光学元件产生的完美光学涡旋的复振幅，这三种元件分别是：(i) 透射函数与贝塞尔函数成正比的振幅-相位元件；(ii) 透射等于贝塞尔函数符号函数的最优相位元件；(iii) 螺旋轴棱锥。结果表明，使用最优相位元件时，环形强度最高。发现螺旋轴棱锥辅助产生的衍射环宽度是使用其他两种元件时的两倍。因此，最优滤波器被证明最适合产生完美光学涡旋。仿真结果证实了理论预测，实验结果与理论和仿真相符。
