To a first approximation we expect the sum of and fluxes to exceed the flux
by only a small factor (due to the shapes of the passbands, see Figure 5.9) with a
small dependence on colour.
The and fluxes, and , are calculated as the sum of the flux
in a window of arcsec. Since the data processing for Gaia DR2 does not
include deblending treatment, and can suffer contamination by nearby sources.
Instead, the flux is derived from LSF or PSF fitting to a narrow image and the
contamination issue is not significant. Any error in the background estimate also affects
the and fluxes more than the flux. Therefore, if accurate colour information
is required, the consistency of the three fluxes should be checked.
Figure 5.26 shows the median simple flux ratio
in galactic coordinates for the sources brighter and fainter than .
This ratio is called phot_bp_rp_excess_factor.
One can appreciate that the faint sources have flux ratios larger than the bright set. One can
also notice that the excess factor is larger in the ecliptic plane area indicating an under-subtraction
of the sky background.
Figure 5.26: Median flux ratio in galactic coordinates for random sets of sources brighter
and fainter than .
Figures 5.27 to 5.32 show the flux ratio
(I+I)/I
for several sets of sources: at high galactic latitudes, nearby sources, at the Galactic
centre, of a globular cluster, in the sky area of LMC and quasars. The nearby sources, the QSOs and the
sources at high latitudes are mainly affected by issues in the background subtraction. Sources in crowded
areas like the Galactic centre, LMC area or globular clusters are mainly affected by contamination due to nearby
sources.
Figure 5.27: Excess factor for sources at high latitude. The plot at right is a zoom. The figures
have been plotted before the filter at excess_factor was applied. The dashed lines correspond to the
relation and delimiting the band of well-behaved single
sources.
Figure 5.28: As Fig. 5.27 now for the sources with mas.
Figure 5.29: As Fig. 5.27 now for the sources at the Galactic center,
and .
Figure 5.30: As Fig. 5.27 now for the sources in a radius of 1 deg
centered on 47 Tuc.
Figure 5.31: As Fig. 5.27 now for the sources in the LMC sky area.
Left: the sources in the bar. Right: the sources in the outskirt.
Figure 5.32: As Fig. 5.27 now for a subset of QSOs. Dotted line
corresponds to which seems more adequate than the threshold established with stars.
Figure 5.33 shows the case of sources
close to a very bright star. The example shows the case of Sirius, but the same effect happens around any
other bright star. There is a strong dependence of the excess factor with the distance to a bright star.
The closer and fainter the source, the bluer it becomes deviating its position in the colour magnitude
diagram.
Figure 5.33: The excess factor for the sources in a radius of 1.5 deg centered on Sirius.
In the top left panel the colour code shows the density, while in the top right panel the colour code
shows the angular distance to Sirius. The bottom left panel is the colour-magnitude diagram for the same
sources and the bottom right panel shows the
excess factor as a function of sky position. One can notice the strong dependence of the excess factor with
the distance to Sirius. The closer to Sirius the bluer the source deviating its position in the colour
magnitude diagram.
Figures 5.34 shows how well-behaved sources are shifted in the excess factor
vs colour diagram when a contamination is added. The purpose of this simple simulation is to illustrate that
(a) the colour does not change much when the contaminant source and the contaminated source have
the same colour, (b) the red sources become bluer when the contaminant source is of blue colour, and (c) the
other way around, the blue sources become redder when the contaminant source is of red colour.
Figure 5.34: Red dots are the nearby sources in Fig. 5.28.
The blue dots show how well-behaved sources are shifted in the excess factor vs colour diagram factor when
a contamination is added: a blue star of (top left), a red star of (top right), a blue star
of (bottom left) and a red star of (bottom right).