论文标题

G(1)(τ),g(3/2)(τ)和g(2)(τ)的比较,用于布朗运动中的谐波振荡器,具有连贯的背景

A comparison of g(1)(τ), g(3/2)(τ), and g(2)(τ), for radiation from harmonic oscillators in Brownian motion with coherent background

论文作者

Siciak, Antonin, Orozco, Luis A., Fouché, Mathilde, Guerin, William, Kaiser, Robin

论文摘要

我们比较了在天体物理学中相关的模型,比较了场地G(1)(τ),强度场G(3/2)(τ)和强度 - 强度G(2)(τ)相关函数。我们获得了混乱辐射的一般情况的表达式,其中振幅是基于布朗运动中的谐波振荡器集合的模型的Rician。我们获得了两种测量方法的信号与噪声比。强度场相关函数信号与噪声比的缩放尺度为| g(1)(τ)|的第一个功率。这与g(2)(τ)的良好结果相反,后者是| g(1)(τ)|的平方。

We compare the field-field g(1)(τ), intensity-field g(3/2)(τ), and intensity-intensity g(2)(τ) correlation functions for models that are of relevance in astrophysics. We obtain expressions for the general case of a chaotic radiation, where the amplitude is Rician based on a model with an ensemble of harmonic oscillators in Brownian motion. We obtain the signal to noise ratios for two methods of measurement. The intensity-field correlation function signal to noise ratio scales with the first power of |g(1)(τ)|. This is in contrast with the well-established result of g(2)(τ) which goes as the square of |g(1)(τ)|.

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