超短脉冲复宗量拉盖尔—高斯光束  

Ultrashort Pulsed Elegant Laguerre-Gaussian Beams

作　　者：杨振军[1] 胡巍 杨振峰[3] 

机构地区：[1]河北师范大学物理学院,石家庄050016 [2]华南师范大学传输光学实验室,广州510631 [3]河北科技大学经济管理学院,石家庄050018

出　　处：《光学学报》2005年第11期1563-1567,共5页Acta Optica Sinica

基　　金：国家自然科学基金(60278013);教育部霍英东教育基金会(81058);国家863计划资助课题

摘　　要：从超短高斯脉冲光束出发,根据拉盖尔多项式的性质,用理论解析推导的方法,给出了一组新的超短脉冲光束的解析解,称为超短复宗量拉盖尔高斯脉冲光束。此脉冲光束解的每个频率分量都是复宗量拉盖尔高斯光束,时间脉冲的形状是任意的,具有相同的衍射距离参量,并且可以描述短于一个光学周期的超短脉冲。对这种超短脉冲光束及其在自由空间中的传输过程进行了较为细致的研究,分析了超短复宗量拉盖尔高斯脉冲光束的轴上光强、光强的横向分布、衍射性质、脉冲极性反转、脉冲延迟等。讨论了引入缓变包络近似后出现的时空奇异性。From the ultrashort pulsed Gaussian beams, based on the properties of Laguerre polynomial, a family of solutions are found in theory, which represents a new family of ultrashort pulsed beams called ultrashort pulsed elegant Laguerre-Gaussian beams. These pulsed beams with arbitrary available frequency all have a nearly elegant Laguerre-Gaussian profile, an arbitrary temporal shape, and an equal diffractive distance. These solutions can be even used to describe the ultrashort pulsed beam whose pulse duration is shorter than one optical oscillation period. The ultrashort pulsed elegant Laguerre-Gaussian beams and their propagation properties in free space have been studied detailedly, such as intensity on the axis, transversal distribution of intensity, diffractive property, pulse polarity reversal, pulse time delay etc. The time and spatial singularity of the pulsed beams is also discussed when the slowly varying envelope approximation is introduced.

关 键 词：物理光学 超短脉冲光束 缓变包络近似 脉冲传输 

分 类 号：O436[机械工程—光学工程]