超短脉冲复宗量厄米高斯光束  

The Ultrashort Pulsed Elegant Hermite-Gaussian Beams

作　　者：杨振军[1] 胡巍[1] 郑一周[1] 陆大全[1] 郭旗[1] 

机构地区：[1]华南师范大学传输光学实验室,广州510631

出　　处：《光学学报》2004年第11期1571-1576,共6页Acta Optica Sinica

基　　金：国家自然科学基金 (6 0 2 780 13);广东省自然科学基金团队项目 (2 0 0 0 30 6 1);教育部霍英东教育基金会 (810 5 8);国家高技术研究发展计划专项经费部分资助课题

摘　　要：从超短高斯脉冲光束出发 ,根据复宗量厄米函数的性质 ,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 ,称为超短复宗量厄米高斯脉冲光束。此脉冲光束解的每个频率分量都是复宗量厄米高斯光束 ,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 ,分析了超短复宗量厄米高斯脉冲光束的轴上光强、光强的横向分布、等衍射性质、脉冲极性反转、脉冲延迟等基本性质。讨论了引入缓变包络近似后出现的时空奇异性。Starting from the ultrashort pulsed Gaussian beams, a family of solutions are found theory in by using the properties of Hermite function, which represents a new family of ultrashort pulsed beams called ultrashort pulsed elegant Hermite-Gaussian beams. These pulsed beams with a certain frequency have a nearly elegant Hermite-Gaussian profile, an arbitrary temporal shape, and a common 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 Hermite-Gaussian beams and their propagation properties in free space have been studied in detailedly, such as intensity on the axis, polarity reversal, pulse time delay etc. The spatial singularity of the pulsed beams is also discussed when the slowly varying envelope approximation is introduced.

关 键 词：高斯光束 衍射 超短脉冲光束 轴上光强 近似 奇异性 高斯脉冲 极性反转 自由空间 传输过程 

分 类 号：O436[机械工程—光学工程] TN248[理学—光学]