光腔的分数付里叶变换描述(英文)

Resonators Described by Fractional Fourier Transforms

运用矩阵光学技巧 ,球面镜光腔的往返一周光束变换矩阵可分解为两矩阵之积 ,它们各对应于一分数付里叶变换。因而光腔的振荡本质就是不断作用分数付里叶变换的过程。其稳定条件和束腰位置可用分数阶次描述 ,分数阶次可为复数。同时 ,给出了可能的拓展。

By means of matrix optics technique the beam transfer matrix for one round trip in a spheric a l mirror resonator can be decomposed into two matrix product,it is shown that ea ch one corresponds to the fractional Fourier transform.The beam oscillator in a resonator can be regarded as a continually implementing fractional Fourier trans f orm process.The stability condition and the beam waist position for a resonator a re described by the fractional order.The fractional order can be complex.Proper extension is given. -