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Chinese Physics Letters

Fourth-Order Spatial Correlation of Thermal Light

问峰, 张荀, 薛鑫鑫, 孙佳, 宋建平, Zhang Peng

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

我们在数政体的光子调查伪 thermal 光的第四顺序的空间关联性质,并且使用 Klyshko 先进波浪的图画描述数测量的四光子的巧合的过程。我们推出 proof-of-principle 的理论四光子的巧合数配置,并且如果四个随机散发的光子来自一样的放射区域,发现那并且原则上是难区分的,当四个光子来自不同放射区域时,他们的第四顺序的关联比那大 24 倍。另外,我们也证明高顺序的空间关联功能能被分解成多重降低顺序的关联功能,并且低顺序的关联山峰的对比和可见性是更高的订单的不到那些,当分辨率都是相同的时。这研究可能为更好理解四光子的干扰和多信道的关联成像是有用的。

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我们在数政体的光子调查伪 thermal 光的第四顺序的空间关联性质,并且使用 Klyshko 先进波浪的图画描述数测量的四光子的巧合的过程。我们推出 proof-of-principle 的理论四光子的巧合数配置,并且如果四个随机散发的光子来自一样的放射区域,发现那并且原则上是难区分的,当四个光子来自不同放射区域时,他们的第四顺序的关联比那大 24 倍。另外,我们也证明高顺序的空间关联功能能被分解成多重降低顺序的关联功能,并且低顺序的关联山峰的对比和可见性是更高的订单的不到那些,当分辨率都是相同的时。这研究可能为更好理解四光子的干扰和多信道的关联成像是有用的。
We investigate the fourth-order spatial correlation properties of pseudo-thermal light in the photon counting regime, and apply the Klyshko advanced-wave picture to describe the process of four-photon coincidence counting measurement. We deduce the theory of a proof-of-principle four-photon coincidence counting configuration, and find that if the four randomly radiated photons come from the same radiation area and are indistinguishable in principle, the fourth-order correlation of them is 24 times larger than that when four photons come from different radiation areas. In addition, we also show that the higher-order spatial correlation function can be decomposed into multiple lower-order correlation functions, and the contrast and visibility of low-order correlation peaks are less than those of higher orders, while the resolutions all are identical. This study may be useful for better understanding the four-photon interference and multi-channel correlation imaging.
In a near-field four-photon correlation measurement, ghost imaging with classical incoherent light is investigated. By applying the Klyshko advanced-wave picture, we consider the properties of four-photon spatial correlation and find that the fourth-order spatial correlation function can be decomposed into multiple lower-order correlation functions. On the basis of the spatial correlation properties, a proof-of-principle four-photon ghost imaging is proposed, and the effect of each part in a fourth-order correlation function on imaging is also analyzed. In addition, the similarities and differences among ghost imaging by fourth-, second-, and third-order correlations are also discussed. It is shown that the contrast and visibility of fourth-order correlated imaging are improved significantly, while the resolution is unchanged. Such studies can be very useful in better understanding multi photon interference and multi-channel correlation imaging.