Keywords: astro-noema-sensitivity-estimator

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## From the temperature power to the flux

For a point source, it is more natural to express the signal, and thus the sensitivity, in unit of flux. The flux ( ) of a point source is linked to its brightness temperature through

| (5)

where is the Boltzman constant, and is the effective area of the antenna (eq. 3-113 in Kraus , 1982), and the conversion factor for a typical interferometer antenna. The effective area depends on the observing wavelength when the surface rms accuracy becomes a significant fraction of the wavelength. For NOEMA, the effective area is close to 1 at 3mm but significantly lower than 1 at 1mm.

Using the same conversion factor for the sensitivity, we yield

| (6)