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

preprint

posted on 2023-11-30, 20:08 authored by Antonin Siciak, Luis A. Orozco, Mathilde Fouché, William Guerin, Robin KaiserWe compare the field-field g(1)(\tau), intensity-field g(3/2)(\tau), and intensity-intensity g(2)(\tau) 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)(\tau)|. This is in contrast with the well-established result of g(2)(\tau) which goes as the square of |g(1)(\tau)|.