【作者】 陆大全；

【导师】 胡巍；

【作者基本信息】 华南师范大学 ， 光学， 2004， 硕士

【摘要】 本文在理论上研究了激光在自由空间的传输特别是超短脉冲激光的非傍轴传输问题。文中首先回顾了近年来对激光在自由空间中传输的研究进展，并讨论了非傍轴传输的研究意义。然后分别得到了自由空间中傍轴脉冲解的标量和矢量非傍轴修正。并对脉冲频谱特性对其非傍轴特性的影响进行了讨论。全文分五章，第一章为前言，第二、三、四章介绍作者于攻读硕士学位期间在胡巍教授指导下所做的部分工作，第五章为结论。 第一章：本章回顾了超短脉冲光束传输的研究进展并讨论了超短脉冲光束非傍轴传输研究的意义。 第二章：本章讨论了脉冲光束的标量基本传输方程。基于上述方程，分别用角谱分析法和微扰法得到了脉冲光束的非傍轴修正，并对这两种方法所得结果进行了比较。通过与数值结果的比较，对所得修正的可靠性进行了分析。 第三章：这一章在脉冲矢量传输基本方程的基础上，分析了矢量效应对脉冲光束非傍轴修正的影响，并基于此分析以及第二章所得结果，得出了脉冲光束的矢量非傍轴修正。 第四章：在这一章里讨论了脉冲频谱性质对其非傍轴特性的影响。首先分析了超短脉冲的光谱性质对其傍轴近似条件的影响，然后分别讨论了啁啾脉冲的非傍轴性质以及不同脉冲形式所导致的不同非傍轴特性。 第五章：结论与展望。更多还原

【Abstract】 In this paper, the propagation of the pulsed beam, especially the non-paraxial propagation of the ultrashort pulsed beam is investigated in theory. The paper analyze the paraxial approximation, and the scalar as well as the vectorial non-paraxial correction of the ultrashort pulsed beam are obtained in free space. Then the influence of the spectrum property on the non-paraxial property of the pulsed beam is discussed. The paper is composed of 5 chapters, among which are, Chapter 1 is a survey, Chapter 2,3,4 are the introductions of my own work under the guidence of Prof. Wei Hu in my graduate career.Chapter 1: The development of the investigation about the free-propagation of ultra-short pulsed beam is introduced, and the necessity of the investigation about the non-paraxial propagation of the ultra-short pulsed beam in free space is discussed.Chapter 2: In this chapter, the basic scalar propagation equation of ultra-short pulsed beam in free space is discussed. Based on the basic equation, the non-paraxial correction of pulsed beam is obtained by the spectrum analysis technic and the perturbative technic respectively. The result from the above mentioned two technics are compared to each other. The reliability of the correction is analysed through the comparison bewteen the theoritical and the numerical result.Chapter 3: The influence of vectorial effect on non-paraxial propagation of pulsed beam is analysed based on the basic vectorial propagation equation of ultra-short pulsed beam in free space. On the basis of the analysis and the result of chapter 2, the vectorial non-paraxial correction of ultra-short pulsed beam is obtained.Chapter 4: In this chapter the influence of the spectrum property on the non-paraxial property of the pulsed beam is discussed: Firstly the influence of the spectrum property on the paraxial approximation of pulsed beam is analysed. Then the non-paraxial property of chirped pulsed beam and the variation of the non-paraxial correction induced by the variation of the pulse function are respectively discussed to illustrate the influence of the spectrum property on the non-paraxial property of the pulsed beam.Chapter 5: The conclusion.更多还原