Resurgence of Rayleigh’s curse in the presence of partial coherence: reply
Resurgence of Rayleigh’s curse in the presence of partial coherence: reply
复制标题
在部分连贯性存在的情况下瑞利诅咒的死灰复燃：回复
作者：
Walker D. Larson;B. Saleh
光学系统的两点分辨率是可以根据像平面中的测量以规定精度估计的两个点源之间的最小距离。当光源不相干时，直接测量光强度提供的分辨率受到瑞利诅咒的限制，即，随着间隔减小到零，精度减小到零。通过使用精度上的量子费希尔信息界限，最近表明，基于光场的最佳量子测量的估计可以打破瑞利诅咒，即使在非常小的间隔下也可以提供有限精度的估计。我们在这里表明，如果点源部分相干且真实相干程度未知，无论它有多小，那么诅咒就会再次出现。由于朗伯光源并不是严格不相干的，具有波长量级的相关宽度，并且光在传播时获得相干性，因此瑞利诅咒作为基本格言一直存在。
The two-point resolution of an optical system is the minimum distance between two point sources that can be estimated with a prescribed precision from measurement in the image plane. When the sources are incoherent, then direct measurement of the optical intensity provides resolution limited by Rayleigh’s curse, i.e., the precision diminishes to zero as the separation is reduced to zero. By using quantum Fisher information bounds on the precision, it was shown recently that estimates based on optimal quantum measurements of the optical field can break Rayleigh’s curse and provide estimates with finite precision even at very small separations. We show here that if the point sources are partially coherent with an unknown real degree of coherence, no matter how small it is, then the curse resurges. Since a Lambertian source is not strictly incoherent, having a correlation width of the order of a wavelength, and light gains coherence as it propagates, Rayleigh’s curse endures as a fundamental dictum.
影响因子：
2.9
作者：
Crowley, Philip J. D.;Datta, Animesh;Walmsley, I. A.
通讯作者：
Walmsley, I. A.