Li Bohan, Maltese Giorgio, Costa-Filho J I, Pushkina A A, Lvovsky A I
Opt Express. 2020 Apr 13;28(8):11965-11973. doi: 10.1364/OE.389347.
We report the first experimental demonstration of a prime number sieve via linear optics. The prime numbers distribution is encoded in the intensity zeros of the far field produced by a spatial light modulator hologram, which comprises a set of diffraction gratings whose periods correspond to all prime numbers below 149. To overcome the limited far field illumination window and the discretization error introduced by the spatial light modulator finite spatial resolution, we rely on additional diffraction gratings and sequential recordings of the far field. This strategy allows us to optically sieve all prime numbers below 149 = 22201.
我们报告了通过线性光学实现质数筛的首次实验演示。质数分布被编码在空间光调制器全息图产生的远场强度零点中，该全息图由一组衍射光栅组成，其周期对应于149以下的所有质数。为了克服有限的远场照明窗口以及空间光调制器有限空间分辨率引入的离散化误差，我们依赖于额外的衍射光栅和远场的顺序记录。这种策略使我们能够光学筛选出149 = 22201以下的所有质数。
