Lee K F, Reil F, Bali S, Wax A, Thomas J E
Opt Lett. 1999 Oct 1;24(19):1370-2. doi: 10.1364/ol.24.001370.
We demonstrate a two-window heterodyne method for measuring the x-p cross correlation, ??(*)(x)? (p)?, of an optical field ? for transverse position x and transverse momentum p. This scheme permits independent control of the x and p resolution. A simple linear transform of the x-p correlation function yields the Wigner phase-space distribution. This technique is useful for both coherent and low-coherence light sources and may permit new biological imaging techniques based on transverse coherence measurement with time gating. We point out an interesting analogy between x-p correlation measurements for classical-wave and quantum fields.
我们展示了一种双窗口外差方法,用于测量光场在横向位置(x)和横向动量(p)处的(x - p)交叉关联(\langle\hat{x}(t)\rangle\langle\hat{p}(t)\rangle)。该方案允许独立控制(x)和(p)的分辨率。(x - p)关联函数的简单线性变换可得到维格纳相空间分布。这种技术对相干和低相干光源都有用,并且可能允许基于时间选通的横向相干测量产生新的生物成像技术。我们指出了经典波和量子场的(x - p)关联测量之间一个有趣的类比。