基于锥镜的相位调制作用和胶片的振幅调制功能,提出了一种能精确高效产生无衍射马蒂厄光束的方案。利用稳相技术,证明了该方案产生马蒂厄光束的理论机制。利用胶片输出仪制作了具有角向马蒂厄函数分布的振幅调制胶片,在实验上精准地产生了一簇马蒂厄光束。理论和实验结果表明,基于锥镜和振幅调制产生马蒂厄光束的方法简单、高效、灵活。

Based on the phase modulation of axicons and the amplitude modulation of films, an exactly and high-efficiency generation scheme of non-diffractive Mathieu beams is proposed. With the stationary-phase technique, the theoretical mechanism of the generation of Mathieu beam by this scheme is verified. The amplitude modulation film with an angular Mathieu function is prepared by the usage of the film recorders, and a family of Mathieu beams is experimentally generated. The theoretical and experimental results show that the proposed method for generating Mathieu beams based on axicons and the amplitude modulation is simple, flexible and highly efficient.