摘要激光在各种介质中的传输特性已被大量研究，比如，大气，晶体，液体等。由于激光器输出的光束基本符合高斯光束的约束条件，晶体器件被大量应用在工业工程，所以高斯光束在晶体中的传输已被独立成一个科研方向。由光的偏振现象入手，研究其与各向异性晶体之间的联系，探索典型高斯光束在正负单轴晶体中沿不同方向传输特性，完成光在晶体中的波动方程推导，得到光传输解析式，设计程序对沿光轴和垂直光轴入射的高斯光束光场分布进行MATLAB仿真模拟。基于平面波角谱方法实现对不同高斯光束在各向异性晶体中的传输特性研究。结果表明，无论沿轴还是垂轴的高斯光束都可以分解成o光和e光传输的叠加，具有不同的瑞利长度。通过MATLAB模拟仿真验证椭圆高斯光束垂直于正负单轴晶体光轴传输时o光和e光具有不同的衍射长度的正确性及偏振状态。
关键词 ： 高斯光束 单轴晶体 各向异性 偏振特性 传输特性19584
毕业论文设计说明书（论文）外文摘要
Title Propagation properties of Gaussian beams in crystals
Abstract
Laser light transmission characteristics have been studied largely in various media , such as the air, crystals, liquids, etc. As the laser beam output meet the demand of the Gaussian beam condition , crystal device is widely used in industrial engineering, the Gaussian beam propagation in the crystal has been independently into a research project . Starting from the polarization phenomenon of light ,it is worth studying the association between it and the anisotropic crystal and exploring typical Gaussian beam propagation properties in different directions in the positive and negative uniaxial crystal .Optical wave equation is derived in the crystal to resolve optical transmission .Then designing process along the optical axis and the vertical axis of the incident Gaussian beam optical field distribution are imitated by MATLAB simulation . Applying plane angle spectral transmission characteristics of research methods to achieve different Gaussian beam in uniaxial anisotropic crystals are analoged . The results showed that regardless of the Gaussian beam along the axis or vertical axis can be decomposed into the superposition of light e o optical transmission with different Rayleigh lengths. By MATLAB simulation, verification elliptical Gaussian beam is perpendicular to the optical axis of the positive and negative uniaxial crystal light transmission o e correctness and light with different polarization states diffraction length.
Keywords： Gaussian beam uniaxial crystal Anisotropy Polarization properties propagation properties
目录
1 引言 1
1. 1研究背景及国内外发展动态 1
1. 2论文结构安排和主要研究方法 3
2 理论基础 4
2.1晶体的光学性质 4
2.1.1晶体各向异性概念： 4
2.1.2晶体的双折射性： 4
2.1.3晶体的分类： 4
2.1.4主平面及主截面定义： 4
2.1.5介电张量： 5
2.2高斯光束 5
2.2.1高斯光束电场表达式 5
2.2.2高斯光束的束宽 6
2.2.3几类典型高斯光束： 6
2.3光在晶体中传播的解析法描述 7
2.3.1麦克斯韦方程组及物质方程： 7
2.3.2光在晶体中传播的解析法描述 8
2.3.3 在单轴晶体中o光和e光的电场表达式 9
3 光束沿光轴和垂直于光轴的旁轴矢量方程 10
3.1高斯光束沿光轴方向在单轴各向异性晶体中的旁轴矢量方程 10 MATLAB高斯光束在晶体中的传播研究+文献综述:http://www.youerw.com/wuli/lunwen_11007.html