Bastiaans Martin J, Alieva Tatiana
Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, The Netherlands.
Opt Lett. 2003 Dec 15;28(24):2443-5. doi: 10.1364/ol.28.002443.
The Wigner distribution of rotationally symmetric partially coherent light is considered, and the constraints for its moments are derived. Although all odd-order moments vanish, these constraints lead to a drastic reduction in the number of parameters that we need to describe all even-order moments: whereas in general we have (N + 1)(N + 2)(N + 3)/6 different moments of order N, this number reduces to (1 + N/2)2 in the case of rotational symmetry. A way to measure the moments as intensity moments in the output planes of (generally anamorphic) fractional Fourier-transform systems is presented.
研究了旋转对称部分相干光的维格纳分布，并推导了其矩的约束条件。尽管所有奇数阶矩都为零，但这些约束条件使我们描述所有偶数阶矩所需的参数数量大幅减少：一般来说，我们有(N)阶的((N + 1)(N + 2)(N + 3)/6)个不同矩，而在旋转对称情况下，这个数字减少到((1 + N/2)^2)。提出了一种在（通常是非等方性的）分数傅里叶变换系统的输出平面中将矩测量为强度矩的方法。
