高斯光束传播特性研究
Research of Propagative Characteristic for Gaussian Beam
摘要:
本文旨在探究激光高斯光束传播特性的一般形式。先以菲涅耳–基尔霍夫衍射公式为基础进行傍轴近似和菲涅耳近似得出新的积分式，再以亥姆霍兹方程为基础解出高斯光束一般解的形式。将高斯光束一般解与新的积分式进行结合，解出高斯光束振幅与光强的一般形式，并做出高斯光束传播特性图像与频率分布图像。利用图像解释高斯光束传播相关特性。
Abstract: The paper aims at exploring the general form of the propagative characteristics of Laser Gaussian beam. From the Fresnel diffraction equation, we obtain a new integral formula based on the Pa-raxial approximation and Fresnel approximation. Based on the Helmholtz equation, the general solutions of the Gaussian beam are obtained. Combining the general solutions of the Gaussian beam with the new integral formula, the general form of the Gauss beam amplitude and intensity can be obtained. The images of the propagative characteristics and frequency distribution for Gaussian beam are made. The related characteristics of the Gaussian beam propagation are explained with the images.
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