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

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 ) .