一种产生Mathieu光束的光学系统

An Optical System Generating Mathieu Beams

设计了一种简单而新颖的光学元件。光束经过此元件后,再利用透镜聚焦便可产生无衍射Mathieu光束,且改变衍射元件的参数,Mathieu光束的q值随之改变。利用离散傅里叶方法从理论上导出了该光学系统的Mathieu光束的表达式,采用Matlab模拟了光斑强度。数值模拟和实验结果证实了此元件产生无衍射Mathieu光束的有效性。

A novel and simple optical element is designed. If beams passing through this diffractive element and focused by a lens, non-diffracting Mathieu beams are realized. Moreover, the q values of Mathieu beams vary with the parameters of diffractive elements. The Mathieu beam expression of this optical system is derived theoretically by discrete Fourier methods and the beam spot intensity is simulated with Matlab. The numerical simulation as well as experimental result confirm the validity of producing non-diffracting Mathieu beams by this diffractive element.