• 无线光通信及其组网技术 •

### 叠加态涡旋光束经旋转随机粗糙表面的频移特性

1. 西安工业大学 光电工程学院，陕西 西安 710021
• 收稿日期:2020-12-17 修回日期:2021-05-12 出版日期:2021-10-25 发布日期:2021-10-25
• 作者简介:吕 宏 男，1975年生，山西运城人，现为西安工业大学光电工程学院副教授，主要研究方向为激光大气传输与测控技术. E-mail：lvhong@xatu.edu.cn
党 磊 男，1996年生，陕西西安人，现为西安工业大学在读硕士研究生，主要研究方向为无线光通信与测控技术. E-mail：810446385@qq.com
贺 蕊（通信作者） 女，1997年生，陕西咸阳人，现为西安工业大学在读硕士研究生，主要研究方向为光场传输与调控. E-mail：2279443946@qq.com
• 基金资助:
陕西省自然科学基础研究计划项目资助(2019JM-470);陕西省教育厅科研计划资助(18JS048)

### The Characteristics of Frequency Shift of Superposition Vortex Beams Passing through a Rotating Random Rough Surface

Hong LV, Lei DANG, Rui HE

1. School of Optoelectronic Engineering，Xi’an Technological University，Xi’an，Shaanxi 710021，China
• Received:2020-12-17 Revised:2021-05-12 Online:2021-10-25 Published:2021-10-25

Abstract:

Based on the transmission characteristics of vortex beams and light scattering theory, the field distribution and interference characteristics of superposition vortex beams passing through the rotating random rough surface are studied. Two vortex beams with the same topological charge value and opposite signs are used for simulation and experiment of superimposition generation. Using angular spectrum diffraction theory, the influence of the root-mean-square roughness of the rotating random rough surface on the beam transmission is analyzed. As the superposition vortex beams with different topological charges pass through the rotating random rough surface and interfere with the reference light, the time-dependent curve of normalized intensity values at different rotational speeds can be obtained through numerical calculation. Then the frequency shift can be indirectly obtained by light intensity-time function and the speed of rotating target can be obtained through inversion. The results show that: the frequency is inverted by the period of the simulation curve, and when the rotational speed Ω is 2π/3 rad/s, 2π rad/s, 10π/3 rad/s, the corresponding frequency shift Δf is 2/3Hz, 2Hz, 10/3Hz, respectively. The results of this research can provide a theoretical reference for the regulation and application of superposition vortex beams.