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C. J. Hogan, M. J. Rees, Spectral appearance of non-uniform gas at high z, Monthly Notices of the Royal Astronomical Society, Volume 188, Issue 4, October 1979, Pages 791–798, https://doi.org/10.1093/mnras/188.4.791
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Abstract
The spectrum of non-uniform gas emitting line radiation in an expanding universe displays frequency structure on scale |$\delta v/v \sim {10}^{-3}$| if the scale of lumpiness is ~ 10–3cH–1, but the detailed spectral structure is correspondingly uncorrelated on angular scales larger than ~ 10–3 rad ( ~ 4 arcmin). Thus, lumpy high-redshift gas may appear as a distinctive signature in the variation of the spectrum of background radiation across the sky, even if the bulk of the background comes from other sources. 21-cm emission or absorption might be visible with present techniques out to 1 + z ~. 10 (150 MHz), Ly-α emission out to 1 + z ~ 5 (6000 Å). These observations would be a valuable probe of cosmic structure at early times.
