论文标题
衍射对光场Wigner分布以及如何在光学谐振理论中使用的影响。 II-不稳定的谐振器
Effect of Diffraction on Wigner Distributions of Optical Fields and how to Use It in Optical Resonator Theory. II -- Unstable Resonators
论文作者
论文摘要
文章的第二部分是通过衍射的场传输，这些衍射由分数傅立叶变换表示，其顺序为复数。与光场相关的WIGNER分布的相应影响仍然由$ 4 \ times4 $矩阵在缩放的相位空间上运行，但是与第一部分涉及的矩阵不同，这些矩阵分解为两个矩阵，这些矩阵本质上代表了2-维超质量旋转，而不是椭圆形旋转。结果应用于不稳定谐振器的理论。
The second part of the article is devoted to field transfers by diffraction that are represented by fractional Fourier transformations whose orders are complex numbers. The corresponding effects on the Wigner distributions associated with optical fields are still represented by $4\times4$ matrices operating on the scaled phase-space, but unlike matrices involved in the first part, those matrices decompose into two matrices that essentially represent 2--dimensional hyperbolic rotations, not elliptical rotations. The result is applied to the theory of unstable resonators.
