利用Gyrator正则变换实现环形激光阵列的Talbot效应  

Talbot effect of ring laser array realized by Gyrator canonical transformation

作　　者：李尉 代京京[1] 温丛阳 宗梦雅 李胜南 王智勇[1,2] Wei;Dai Jing-Jing;Wen Cong-Yang;Zong Meng-Ya;Li Sheng-Nan;Wang Zhi-Yong(Institute of Advanced Technology on Semiconductor Optics&Electronics,Beijing University of Technology,Beijing 100124,China;Institute of Materials Atomic and Molecular Science,Shaanxi University of Science and Technology,Xi’an 710021,China)

机构地区：[1]北京工业大学,先进半导体光电技术研究所,北京100124 [2]陕西科技大学,材料原子分子科学研究所,西安710021

出　　处：《物理学报》2023年第5期178-182,共5页Acta Physica Sinica

摘　　要：本文对环形激光阵列的Talbot效应进行了研究,利用Gyrator正则变换推导了极坐标下环形激光阵列的Talbot效应和自成像条件,并进一步分析了其在分数Talbot距离处的成像规律.通过FDTD Solutions软件对环形激光阵列在分数Talbot距离处的空间分布、相位分布进行模拟,得到与理论计算相一致的结果.通过与一维激光阵列分数Talbot效应的空间分布、相位分布情况进行对比分析,环形激光阵列可有效消除一维激光阵列的Talbot边缘效应,获得等光强分布的Talbot自再现像,扩展了Talbot效应在环形激光相干阵列锁相的应用.We propose a ring laser array structure and study the Talbot effect.By comparing with the onedimensional laser array,the near-field distribution of the identical intensity of the ring laser array without edge effect is obtained,which can be more conducive to improving the capability of the external cavity phase locking of lasers.In this paper,Talbot effect and self imaging condition of ring laser array in polar coordinates are calculated by using Gyrator canonical transformation.The sub-image distribution at the fractional Talbot distance is further analyzed.The optical profile and phase distribution of the ring laser array at the fractional Talbot distance are simulated,which are mutually verified with the theoretical calculation results.At a quarter of the Talbot distance,the number of sub-images is twice that of the emitters.The light intensities of the subimages are identical,and thedifference in phase between adjacent sub-images isπ/2.At half of the Talbot distance,the number of sub-images is the same as that of the emitters,while the spatial position of sub-image is shifted by half a cycle along the angular direction.Moreover,the sub-images with twice the number of the emitters are present in three quarters of the Talbot distance.The light intensities of the sub-images are identical and the difference in phase between adjacent sub-images is—π/2.Further,the Talbot images with the same spatial and phase distribution as the emitters are generated along the angular direction at the Talbot distance.The optical profile and phase distribution of one dimensional laser array at the fractional Talbot distance are also simulated by FDTD Solutions for comparison.It is found that the edge effect of onedimensional laser array leads to the uneven distribution of near-field light intensity,in which the intensity of light spot on the edge of array is significantly lower than that in the center of array.While the Talbot subimages of ring laser array with identical light intensity are obtained.Therefore,We consider that t

关 键 词：环形激光阵列 分数Talbot效应 自成像 Gyrator变换 相干阵列 

分 类 号：TN249[电子电信—物理电子学] TP391.41[自动化与计算机技术—计算机应用技术]