应用光学, 2007, 28 (5): 0627, 网络出版: 2010-06-03  

圆锥透镜对偏轴球面波光束的衍射模式

Axicon's diffraction mode for spherical wave beam with eccentricity
作者单位
1 北京航空航天大学 仪器科学与光电工程学院,精密光机电一体化技术教育部重点实验室,北京 100083
2 中航一院12所 控制与信息技术国家重点实验室,北京 100854
摘要
球面波入射圆锥透镜产生的出射光束中心光斑直径较小且焦深长,适合通讯领域长距离测量和准直。针对实际操作中球面波光束入射时很可能与圆锥透镜的中心轴线发生偏移或倾斜,使衍射光场发生变化,着重研究圆锥透镜对偏轴球面波光束的衍射模式,并通过衍射理论和稳相法分析,研究其径向衍射光场的分布特性。使用半径为15mm,底角为1°的圆锥透镜进行计算机仿真和实验,最后将实验结果与理论分析和仿真结果相比较,证明球面波的曲率半径和出射光束的传输距离越小,偏轴对衍射模式的影响越小。该研究结果表明:在激光通讯等长距离通信中,使用曲率半径小的球面波光束代替平面波入射圆锥透镜,不仅可以扩展焦深,还可以降低偏轴对测量的影响。
Abstract
Since the central spot diameter of exit beam generated by the spherical wave beam passing through a conical lens is small and the focal depth of the exit beam is long,it is suitable for long distance measurement and alignment in laser communication. The diffraction mode of the conical lens for the spherical wave beam with eccentricity was emphatically investigated to reduce the effects of the off-axis phenomenon on measurement,and to prevent the center-line deviation or tilt of the spherical wave beam. Based on the diffraction theory and stationary phase method,the diffraction mode of the conical lens for the spherical wave beam with eccentricity was derived,and the characteristic of its radial energy distribution was analyzed. The experiments and simulations are performed by using a conical lens whose radius is 15 mm and basic angle is 1°. The experimental results are compared with the theoretical analysis and computer simulation results. The comparison indicates that the influence of eccentricity on the diffraction mode decreases as the radius of curvature of incidental spherical wave and the propagation distance decrease. Therefore,the spherical wave with small radius of curvature instead of plane wave can extend the focal depth and reduce the influence of eccentricity on the measurement.

王中宇, 张朵, 李萌, 高晓颖. 圆锥透镜对偏轴球面波光束的衍射模式[J]. 应用光学, 2007, 28(5): 0627. WANG Zhong-yu, ZHANG Duo, LI Meng, GAO Xiao-ying. Axicon's diffraction mode for spherical wave beam with eccentricity[J]. Journal of Applied Optics, 2007, 28(5): 0627.

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