光束分数傅里叶变换几何特性的相空间束矩阵分析方法

提出一种分析傍轴光束分数傅里叶变换几何特性的相空间束矩阵变换的简单方法. 以分析椭圆高斯光束分数傅里叶变换几何特性为例，研究表明，利用本方法讨论傍轴束分数傅里叶变换的几何特性简单可靠、从几何图像理解傍轴束分数傅里叶变换清晰直观. 为研究光束传输变换的特性提供了一种简单方便的新途径. 关键词： 相空间束矩阵 分数傅里叶变换 椭圆高斯光束

Phase space beam matrix method for evaluating geometrical aspect of fractional Fourier transform of light beams

In this paper, a simple technique to determine the geometrical properties of fractional Fourier transform of paraxial beams based on the phase space beam transformation matrix is presented. Taking the elliptic Gaussian beam as an example, we have compared our analysis technique with that of previous work and found that the present method is more reliable in predicting the geometrical properties of fractional Fourier transform of beams and has the advantage of clear intuitive physical insight into beam propagation and transformation process from a geometrical viewpoint. This technique provides a simple and convenient way to study propagation and transformation properties of light beams in a novel approach.