The photometric sensitivity achieved for any observation of a 2MASS Tile was governed by atmospheric conditions at the time of the measurement, including transparency, emissive backgrounds, and image quality (or seeing), and the effects of confusion noise, due to astronomical source backgrounds. The confusion limits scale with source density, and thus follow fixed patterns on the sky. However, the limits imposed by atmospheric conditions led to significant variations on a Tile-by-Tile basis as well as systematic trends on the sky. In this section, we describe how the photometric sensitivity limits, due to atmospheric terms, were estimated for each 2MASS Tile. These estimates do not take into account confusion in high source density regions. The effects of confusion on photometric sensitivity are discussed in Section VI.7.
The nightly calibration field observations made during the Survey provided a means to measure directly empirical relationships between the achieved photometric sensitivity and the atmospheric conditions. These relationships were used to estimate the achieved sensitivity for for all scans of Tiles acquired during the Survey. We define the magnitude at which a signal to noise-ratio (SNR) of 10 is achieved, M10, to be the metric by which we track photometric sensitivity in the following discussion. For reference, the 2MASS Level 1 Science Requirements specified that M10 be achieved for magnitudes no fainter than J=15.8, H=15.1 and Ks=14.3 mag, in the absence of confusion.
i. Measuring Photometric Sensitivity from Repeated
Calibration Field Measurements
Each 2MASS Calibration Observation
(III.2.d) consisted of six scans of
one of the 8.5´×1° Calibration Fields made in rapid succession.
As a routine part of data processing and quality assurance, the extracted
source lists from each set of six scans were
positionally correlated, and the the mean and root variance brightness
was determined for each object in the merged source lists.
In Figure 1 is shown representative
photometric repeatability made from the merged scans
of one Mt. Hopkins observation of the A2409 Calibration Field on the night of
1997 November 16 UT. This figure shows the measured
root variance (J,H,Ks)
versus mean magnitude for each merged source in the field.
Black crosses represent sources detected at least five times in the
six scans, and the red points are sources
detected less than five times. Marked in green are the trimmed
average and RMS root variances for all stars detected
5 times in 0.5 magnitude-wide bins.
J, H and Ks repeatabilities are shown in the top, middle
and bottom panels, respectively. The dashed horizontal
lines in each panel show the SNR=10 level, the value where root variances are
10% of the brightness (0.1086 mag). For reference, the dashed blue vertical
lines show the magnitudes in each band for which the Survey
measurements are required to have a SNR10.
The point at which the loci of root variances for all sources
crosses the SNR=10 line is the direct measurement of the M10
photometric sensitivity metric.
In this example shown in Figure 1,
M10 is achieved
at J~16.1, H~15.5 and Ks~15.0 mag, so these
measurements easily surpass the sensitivity requirements
for the Survey.
The SNR=10 crossing-point magnitudes, M10, were compiled
for all calibration observations made during the Survey. This dataset
was used to derive empirical relationships between the achieved sensitivity
and atmospheric backgrounds and image quality (seeing) levels.
a. Backgrounds and Seeing
Figure 1 |
ii. The Photometric Sensitivity Parameter (PSP)
Figures 2 and
3 show how the measured SNR=10 level,
M10,
varied with the mean sky background levels (BG), measured on
the individual calibration scan image frames in DN (digital numbers), for
the northern and southern observatories, respectively. In these and the
following figures, J-band data are shown in blue, H-band in green
and Ks-band in red.
For reference, the Survey requirement SNR=10 limits are shown for
each band by the horizontal lines in the appropriate colors.
The measured value of M10 is
generally proportional to BG1.5. This is the relationship
expected for Poisson statistics in sky-background-limited measurements:
SNR scales as BG-0.5.
Most of the calibration scan data taken during the Survey
satisfy the sensitivity requirements. However, most of the scans with
mean background levels above ~2500 DN are below the sensitivity
limits in H and Ks. Furthermore,
there is considerable vertical spread
in the M10 vs. BG distributions, and even
some lower background data have sensitivities below the requirements.
Some of this spread is caused intrinsic variations in the sky backgrounds
values, since the mean background over six calibration scans is shown.
However, most of the scatter arises because measurements at a
given background level were taken in a wide range of seeing conditions.
Figures 4 and
5 show M10 as a function
of the mean seeing shape parameter for all calibration
observations from Mt. Hopkins and CTIO, respectively. The
seeing shape parameter (SH) is an empirical characterization of the
point spread function (see IV.5a)
that is derived during scan data processing.
The shape is used to monitor the seeing as a function of time within a scan,
for the purpose of PSF selection for point source profile-fit photometry
(IV.4b) and for definition of
the stellar ridgelines for extended source star/galaxy discrimination
(IV.5a).
Shape is related to image full-width-at-half-maximum intensity (FWHM)
via the relation:
The achieved SNR for data in all bands from both observatories
shows an approximately linear dependence on seeing shape.
A much broader range of seeing conditions were encountered
at the Mt. Hopkins site than at CTIO, which is also illustrated by
the time-histories of the SH parameters from the two
observatories shown in Figure 2
of III.1.c.
Thus, the dependence of sensitivity on seeing is easier to
see in the northern data. However, the limited instances of poorer
seeing at Cerro Tololo do reveal the trends.
The interplay of seeing, sky backgrounds and photometric sensitivity
is illustrated in Figure 6 in which the
mean seeing shape for
northern Ks calibration observations is shown as a function
of the mean Ks frame backgrounds. The different
colors in this figure encode data with different ranges of measured
sensitivity, M10. Photometry made under conditions
with the best seeing and lowest backgrounds has the highest
sensitivity (i.e., largest value of M10).
Under the best conditions, SNR=10 was achieved at nearly Ks~15 mag.
The sensitivity degrades in a systematic fashion with
higher backgrounds and poorer image quality. While the mean
seeing and background levels for the Calibration observations
are not correlated overall, there is a well-defined relationship
between the seeing and background for data confined to a narrow range
in sensitivity. Fitting the value of shape as function of
background for successive, narrow intervals of M10
and averaging the slopes from each fit
established that SH is proportional to BG-0.29,
for fixed sensitivity.
Based on this relationship, a Photometric
Sensitivity Parameter (PSP) was defined that predicts
the magnitude at which SNR=10 for any value of mean seeing shape and
frame background within a 2MASS scan measurement. PSP is defined as:
The values of M10 for
all northern and southern calibration observations, respectively, are
shown plotted as a function of PSP in Figures
7 and 8.
Northern H-band data taken after 1999 August, when the H-band
detector array was replaced (III.1.b),
are shown by the magenta points in
Figure 7. They are offset from
the older H-band data because of the different sensitivity of
the two H-band detectors.
The linear relationships between M10
and PSP allowed predicting the achieved H and Ks
photometric sensitivity
of a scan taken under a given set of atmospheric background and
seeing conditions to within ~0.1 mag. The residual scatter about
the linear relationships is slightly larger in the J-band, ~0.2 mag,
because, under the lowest background conditions, 2MASS J-band data was only
marginally background-noise-limited. This prediction was
the basis for photometric sensitivity quality scoring assigned
to each Survey scan during the nightly
Quality Assurance process (IV.10.b).
The PSP values derived for each Tile in the All-Sky
Release are given in the j_psp,
h_psp, and
k_psp columns in the
Scan Information Table.
Figure 2 | Figure 3 | Figure 4 | Figure 5 |
Figure 6 | Figure 7 | Figure 8 |
Figures 9, 10 and 11 show all-sky maps of the J, H and Ks PSP values computed for all Tiles in the All-Sky Release, respectively. These maps (and those shown in Figures 12--17) are cartesian equatorial projections with 0h right ascension in the center and RA increasing right to left. The north celestial pole is at the top and the south pole is at the bottom. The sense of the grey scale is that lighter levels correspond to higher sensitivity, darker to lower sensitivity. The range of PSP values corresponding to the full grey-scale levels in each map are indicated in the figure legends, as are the approximate range of sensitivity (in magnitudes) to which they correspond. These maps exhibit the following characteristics:
Figure 9 - J-band PSP - Range: 3.5 to 8.5 (~1.0 mag) | Figure 10 - H-band PSP - Range: 6.0 to 12.5 (~1.3 mag) | Figure 11 - Ks-band PSP - Range: 7.0 to 12.5 (~1.1 mag) |
Under the same background and seeing conditions, photometric sensitivity
(measured in magnitudes) could still vary between observations
because of differences in atmospheric transparency. The sensitivity variation
(measured in magnitudes) due to transparency differences
is directly proportional to the difference in photometric zero point
offsets derived from the nightly Calibration solutions,
as described in IV.8.
Since the instrumental zero points applied to the
measurements were defined such that the mean of the
photometric zero point offsets over the full survey would be approximately
zero, then the relative contribution to the sensitivity from
atmospheric transparency for any given measurement is equal to the
photometric zero point offset.
Figures 12,
13 and
14 show sky maps of the photometric
calibration
zero point offsets, in magnitudes, that were applied to each Tile in the
2MASS All-Sky Data Release.
The ranges listed for each map correspond to the full magnitude scale
of the image grey scale. The sense of the grey scale is that
lighter is higher sensitivity, darker is lower sensitivity.
Systematic seasonal transparency variations are seen in all bands.
Observations made in late winter-to-early spring in both hemispheres
were the most sensitive (highest zero-point offsets = best transparency).
However, Tile-to-Tile variations can be significant. These seasonal
trends are easily seen in the time histories of the derived zero-point
offsets from each observatory shown in
Figure 4 of III.1.c.
c. Atmospheric Transparency
Figure 12 - J-band Zero Point - Range: -0.3 to +0.3 mag | Figure 13 - H-band Zero Point - Range: -0.15 to +0.11 mag | Figure 14 - Ks-band Zero Point - Range: -0.12 to +0.12 mag |
The net sensitivity achieved for each 2MASS Tile is given
by the combination of transparency and background/seeing terms.
Linear fits of the measured values of M10, corrected
for photometric zero point, as a function of PSP
lead to this simple relation between total, net sensitivity
and observing conditions:
where M0 and a are the intercept
and slopes of the linear fits. These are given for each band
at each observatory in Table 1. The two values for the northern
H-band coefficients correspond to the original and replacement
H-band arrays used at Mt. Hopkins. The linear fits
are overlayed on the data points for each band in
Figures 7 and 8.
d. Net Achieved Sensitivity
North | South | |||
---|---|---|---|---|
Band | M0 | a | M0 | a |
J | 17.690 | -0.2229 | 17.609 | -0.2210 | H | 17.215 | -0.1922 | 17.325 | -0.2262 |
H-new | 17.028 | -0.2035 | ||
Ks | 16.524 | -0.1960 | 16.880 | -0.2405 |
The relation above was used to derive the estimated magnitude at which each Survey Tile achieved SNR=10. The values of the estimated magnitude at which SNR=10 was achieved were derived using the above relationship, and are given for each Tile in the j_msnr10, h_msnr10, and k_msnr10 columns in the Scan Information Table. These values were used to produce the J, H and Ks effective sensitivity maps for all Tiles in the All-Sky Release that are shown in Figures 15, 16 and 17. The magnitude ranges corresponding to the full grey-scale ranges in the maps are given in the Figure legends.
These maps represent the predicted photometric sensitivity achieved by the 2MASS observations, based solely on the atmospheric conditions measured from the Survey data themselves. These estimates do not take into consideration the effect of confusion noise which also degrades sensitivity. The impact of confusion noise in high source density regions is discussed at length in VI.7.
Histograms of the J, H and Ks M10 values derived for all Tiles in the All-Sky Release using the measured PSP values and applied photometric zero point offsets are shown in Figure 18. Tile observations taken from Mt. Hopkins and CTIO are shown separately in this figure. The statistics of the M10 distributions for the whole sky are summarized in Table 2. The average magnitudes at which SNR=10 are achieved are 0.5--0.6 mag fainter than the Survey's Level 1 Requirements in the J- and Ks-bands, and 0.3 mag fainter in the H-band. There are a small number of Tiles from both observatories that fall below the required H-band limit of 15.1 mag. Most of these Tiles lie near the celestial poles, and the loss of sensitivity was a result of the high levels of atmospheric OH airglow emission encountered during scans of the polar Tiles that were necessarily taken at relatively high airmasses.
Band | Min | Max | Mean | Std.Dev. |
---|---|---|---|---|
J | 15.787 | 16.951 | 16.422 | 0.135 |
H | 14.821 | 16.044 | 15.484 | 0.175 |
Ks | 14.264 | 15.340 | 14.808 | 0.162 |
Figure 15 - J-band M10 - Range: 15.8 to 16.9 mag | Figure 16 - H-band M10 - Range: 14.8 to 16.0 mag | Figure 17 - Ks-band M10 - Range: 14.3 to 15.3 mag |
Figure 18 |
[Last Updated: 2005 October 12; by R. Cutri & L. Cambresy]