相干背景下布朗运动谐振子辐射g(1)(τ),g(3/2)(τ)和g(2)(τ)的比较
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
摘要:
我们比较了场-场g(1)(τ)、强度-场g(3/2)(τ)和强度-强度g(2)(τ)的关联函数,这些函数在天体物理学中是相关的。我们得到的表达式的一般情况下的混沌辐射,振幅是Rician的基础上的一个模型与合奏的谐振子在布朗运动。我们获得了两种测量方法的信噪比。强度场关联函数信噪比与以下的一次幂成比例:|g(1)(τ)|.这与g(2)(τ)的公认结果相反,g(2)(τ)是|g(1)(τ)|.
英文摘要:
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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