PASJ: Publ. Astron. Soc. Japan 53, 25–36, 2001 February 25
c 2001. Astronomical Society of Japan.
Subaru Deep Survey I. Near-Infrared Observations
Toshinori M AIHARA
Department of Astronomy, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502
maihara@kusastro.kyoto-u.ac.jp
Fumihide I WAMURO, Hirohisa TANABE, Tomoyuki TAGUCHI, Ryuji H ATA
Department of Physics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502
Shin OYA
Communications Research Laboratory, Koganei, Tokyo 184-8975
Nobunari K ASHIKAWA, Masanori I YE, Satoshi M IYAZAKI, Hiroshi K AROJI, Michitoshi YOSHIDA
Tomonori TOTANI
Theoretical Astrophysics Division, National Astronomical Observatory, Mitaka, Tokyo 181-8588
Yuzuru YOSHII
Institute of Astronomy, School of Science, The University of Tokyo, Mitaka, Tokyo 181-0015
Sadanori O KAMURA, Kazuhiro S HIMASAKU, Yoshihiko S AITO
Department of Astronomy, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033
Hiroyasu A NDO, Miwa G OTO, Masahiko H AYASHI, Norio K AIFU, Naoto KOBAYASHI, George KOSUGI,
Kentaro M OTOHARA, Tetsuo N ISHIMURA, Jun’ichi N OUMARU, Ryusuke O GASAWARA,
Toshiyuki S ASAKI, Kazuhiro S EKIGUCHI, Tadafumi TAKATA, Hiroshi T ERADA,
Takuya YAMASHITA, Tomonori U SUDA
Subaru Telescope, National Astronomical Observatory, 650 N. A’ohoku Place, Hilo, HI 96720, USA
and
Alan T. TOKUNAGA
Institute for Astronomy, University of Hawaii, 2680 Woodlawn Dr., Honolulu, HI 96822, USA
(Received 2000 May 15; accepted 2000 September 1)
Abstract
Deep near-infrared images of a blank 2′ × 2′ section of sky near the galactic north pole taken by Subaru Telescope
are presented. The total integration times of the J and K ′ bands were 12.1 hr and 9.7 hr, resulting in 5 σ limiting
magnitudes of 25.1 and 23.5 mag, respectively. The numbers of sources within these limiting magnitudes found
with an automated detection procedure are 385 in the J band and 350 in K ′ . Based on photometric measurements
of these sources, we present number count vs. magnitude relations, color vs. magnitude diagrams, size vs. color
relationships, etc. The slope of the galaxy number count plotted against the AB magnitude scale is about 0.23 in
the 22 to 26 AB magnitude range of both bands. The spatial number density of galaxies as well as the slopes in the
faint-end region given by the Subaru Deep Field (SDF) survey are consistent with those given by HST–NICMOS
surveys, as expressed on the AB magnitude diagram. Several sources having very large J − K ′ color have been
found, including a few K ′ objects without detection at J . In addition, a number of faint galactic stars were also
detected, most of which are assigned to M-subdwarfs, together with a few brown dwarf candidates.
Key words: cosmology: early universe — cosmology: observations — galaxies: evolution — infrared: galaxies
— infrared: stars — stars: low-mass, brown dwarfs
1. Introduction
Extremely deep imaging of blank fields is a vital method
for delineating the nature of the early Universe and gaining
general knowledge about the physical conditions at such an
early epoch. In this context, the purpose of deep surveys is
not only to search for bright, peculiar objects at very high redshift, but also to learn about the overall nature of the early
Universe. The optical Hubble Deep Field (HDF) images taken
by Hubble Space Telescope have presented views different
from the present-day universe. They show that faint, irregular,
and smaller galaxy populations seem to have been much more
abundant, perhaps inherent to the early Universe. However,
since the faint, high-redshift objects seen in the optical HDF
images are deemed to represent rest-frame UV emissions, the
information is predominantly related to UV-luminous sites,
presumably associated with current star formation, rather than
the fundamental structure of stellar components in galaxies. On
the other hand, a near-infrared deep survey is expected to convey information about the basic galactic structure, or in other
words, information related to the fundamental mass distribution. Near-infrared observations may also be crucial to probe
galaxies in the most distant region, because the effect of intergalactic reddening; if it occurs, becomes smaller at longer
wavelengths.
There are already a number of near-infrared surveys
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Optical and Infrared Astronomy Division, National Astronomical Observatory, Mitaka, Tokyo 181-8588
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[Vol. 53,
Table 1. Specifications and performance of CISCO.
Item
Description
Field of view
2′ × 2′
′′
Pixel scale
0. 116 = pix−1
′
Filter
z , J , H , K , K, NBF2.04, NBF2.12, NBF2.25
zJ , J H , K
Grism
Limiting magnitude 22.6 mag (K ′ band, 1 hr, S/N = 5)
2.
Observations
2.1. Near-Infrared Camera: CISCO
A near-infrared imaging and spectroscopic instrument called
CISCO (Cooled Infrared Spectrograph/Camera for OHS) was
used from 1999 early April to mid-June at the Cassegrain focus
of the Subaru Telescope. A detailed description of CISCO has
been reported by Motohara et al. (1998). The major specifications are listed in table 1.
The filters used in the present deep survey were J (1.16–
1.32 µm) and K ′ (1.96–2.30 µm) bands. A fixed exposure time
was employed throughout the observations, namely, 40 s in the
J band and 20 s in the K ′ . The exposure times are shorter than
the saturation level (about 30%) of the detector readout system,
but we adopted them throughout the present survey to secure
uniformity in the dithered multiple exposure strategy which we
employed (see the following subsection).
2.2. Field Selection
Several years ago we chose two regions suitable for a very
deep survey, one each in the northern and southern hemi-
Fig. 1. Survey area of SDF overlaid on the Digitized Sky Survey (DSS)
map. The near-infrared survey is performed in the 2′ ×2′ region marked
by a dashed square box. The surrounding region, which we call flanking fields, is also shown enclosed by the solid-line square box.
spheres, and designated them as the Subaru Deep Field (SDF).
The selected area in the present near-infrared survey is one of
the pre-determined blank sky regions near the north galactic
pole (NGP), as shown in figure 1. The center coordinates of
the observed area of SDF-NGP are RA(2000) = 13h 24m 21.s 38
and DEC(2000) = +27◦ 29′ 23.′′ 0. In selecting the SDF survey
region, we placed a requirement that a reasonably bright star be
located close to the area to serve as a reference star for possible
adaptive-optics-based observations in the near future. The principles and criteria for selecting the SDF regions are described
below:
i) We chose an independent deep-survey region because the
nature (appearance) of the Universe may have different characteristics from one direction to another. ii) The spatial resolution achieved by the Subaru–CISCO combination has proved
to be nearly 0.′′ 3 or even better under the best conditions, and
about 0.′′ 45 on average, which potentially offers an excellent
opportunity to probe remote faint galaxies in the high-redshift
Universe. We therefore hope to obtain the deepest survey data
in the near-infrared, especially in the 2 µm region, by taking
sufficiently long observations. iii) The HDF is at higher airmass at Mauna Kea than that of the SDF. This factor is significant in the latter half of nights from April to June, when the
present survey was performed. Note that, although the limiting magnitude of HST–NICMOS is extremely high compared
with any ground-based near-infrared imaging, the sensitivity
in the K or K ′ band is higher in the ground-based ones due to
larger telescope aperture. The sensitivity of the optical bands
by Subaru Telescope in terms of the total magnitude is expected to be nearly comparable, or even higher (R band, for
example), despite the lower spatial resolution. iv) We should
have a reference star nearby for AO-based observations. With
the AO system, the spatial resolution is much higher than that
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(Gardner et al. 1993; Bershady et al. 1998; Yan et al. 1998;
Thompson et al. 1999), with spatial coverage, wavelength
bands, and limiting magnitudes differing from survey to survey.
The observed wavelengths in the near-infrared may correspond
to rest-frame wavelengths within a much broader spectral span,
if objects with redshifts of 5 or even larger are included. As for
the deepest near-infrared survey, NICMOS images of a part
of the HDF region have provided deep source counts in both
the J and H bands (Thompson et al. 1999). The claimed limiting magnitudes are between 27.5 and 28 AB magnitudes at
the 80% completeness level. It is interesting to note that the
source count vs. magnitude diagrams of both these bands show
an appreciably lower number density of galaxies than previous
ground-based results. Since the sensitivity of the NICMOS imager in the K or K ′ band is limited by the thermal radiation
of the telescope, extremely deep surveys using ground-based
telescopes are important, especially in the K ′ band. Here, we
present the K ′ band image as well as that at J , both currently
the deepest images taken by a ground-based telescope.
In this report, we concentrate on the details of observations using the newly commissioned 8.2 m Subaru Telescope
atop Mauna Kea and on data analysis, and then present number count diagrams of galaxies in two near-infrared bands, J
(1.25 µm) and K ′ (2.13 µm). We also show the detection
and identification of stellar components found in the SDF survey region. The cosmological constants are assumed to be
H0 = 65 km s−1 Mpc−1 and q0 = 0.1 throughout this paper.
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Table 2. Observing log.
Band
K′
K′
K′
K′
K′
K′
J
J
J
J
J
K′
K′
K′
J
K′
J
J
K′
K′
Exposure
time (s)
20
20
20
20
20
20
40
40
40
40
40
20
20
20
40
20
40
40
20
20
Seeing
FWHM(′′ )
0.35–0.80
0.40–0.70
0.35–0.60
0.70–1.10
0.60–1.20
0.80–1.20
0.45–0.65
0.35–0.50
0.40–0.65
0.45–0.65
0.35–0.50
0.35–0.55
0.25–0.60
0.20–0.30
0.35–0.80
0.35–0.55
0.45–0.75
0.35–0.40
0.50–1.20
0.40–0.65
Fig. 2. J band SDF image.
of HST–NICMOS in the H and K bands, and the sensitivity
is comparable if the exposure time is the same. v) In selecting
SDF, we posed additional requirements, namely, low galactic
H I column density, no nearby bright stars and galaxy (except
for the reference star for AO), and no known nearby cluster of
galaxies.
Number of
frames
96 × 3
96 × 2
96 × 2.75
96 × 0.5
96 × 4
96 × 2
48 × 2.5
48 × 2.75
48 × 6.5
48 × 2
48 × 2
96 × 1
96 × 6.5
96 × 3.5
48 × 3
96 × 2
48 × 2
48 × 2
96 × 2
96 × 1
Total exposure
time (s)
5760
3840
5280
960
7680
3840
4800
5280
12480
3840
3840
1920
12480
6720
5760
3840
3840
3840
3840
1920
Comment
test observation
flanking field 1–4
flanking field 5–6
flanking field 7–8
flanking field 8
Fig. 3. K ′ band SDF image.
2.3. Method of Dithering Observations
We employed the 8-position dithering method in both bands.
In the K ′ band case, 12 consecutive frames were taken at each
position before offsetting the telescope towards the next position. The order of 8 positions was chosen so as to make a
diamond pattern with a diameter of 8′′ –12′′ . Thus, we took 96
frames of 20 s exposures in a single set of dithering observations, resulting in a total on-source integration time of 1920 s.
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Date
(UT)
[99/2/27]
99/4/ 3
99/4/ 4
99/4/ 9
99/4/25
99/4/25
99/4/29
99/4/30
99/5/ 2
99/5/ 6
99/5/ 7
99/5/ 8
99/5/11
99/5/27
99/6/ 6
99/6/ 7
99/6/ 7
99/6/ 9
99/6/20
99/6/22
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Fig. 4. Two-color image composed from the J and K ′ band images. The image sizes are normalized to 0.′′ 45 in FWHM.
The entire process of taking 96 exposures was organized by an
“abstract command” (kind of a macro command) issued by the
observer workstation, which dispatched individual commands
to the telescope control system, such as the auto-guiding system, the infrared camera controller, and the telescope itself.
Normally, we made observations in one of the two photometric
bands, J or K ′ , in one night throughout the SDF project.
When the seeing conditions were fairly good, we preferentially implemented J band observations in the fashion described above. The same integration time of 1920 s in a set
of dithering observations was secured, but by adopting a single
exposure time of 40 s with 6 consecutive exposures at one position instead of 12 in the K ′ band case, in view of the lower
sky background level of the J band.
The positional accuracy of each offset movement relative to
the origin of coordinates, when the direction is put back, has
proved to be on the order of 0.′′ 05 under normal conditions,
though sometime it is as large as 0.′′ 2, as measured by the
center-of-gravity fluctuation of a bright object on the recorded
frames. We determined offset values of each frame by the measured coordinates of a particular star in the frames, not by referencing the recorded FITS data.
No. 01]
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24
25
50
0
16
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Fig. 5. Multiple simulations of photometric measurements for mock
objects embedded in survey images. An enlarged diagram with numerical fractions in the 0.5 mag cells is shown in the upper-right corner to
show how the measured total magnitude is distributed against the model
sources. The lower panel shows diagrams of the calculated completeness in both the J band (filled triangles) and the K ′ band (filled circles).
2.4. Log of Observations
Observations of the SDF survey started on 1999 April 3 and
ended on 1999 June 22, using available nights for CISCO observations during the telescope commissioning phase. Since
the SDF survey was supported by the Subaru Project Office
as a priority project during this period, we devoted almost all
nights with observing conditions better than average to the SDF
work. The observing log is presented in table 2. Note that the
nominal date in the table corresponds to the starting UT time
of each night.
During this period, the best seeing data were recorded on
May 26; a couple of frames of a field star with 20 s exposures
had PSFs of ∼ 0.′′ 20 at FWHM. Although the individual frames
have different image resolutions, mostly attributed to the dayto-day variations in seeing conditions, we just accumulated all
of the acquired frames without considering the difference in
seeing in the present analyses. Thus, the present near-infrared
SDF survey has ended up with the target dedicated time of 12.1
hr in the J band and 9.7 hr in the K ′ band.
3. Data Reduction and Source Detection
Using all of the frames taken in a set of automatic dithering
observations, we first created a sky frame out of 96 dithered
exposures by the standard median sky method. In this procedure, each frame is first divided by the flat frame and is also
corrected by a bias frame. The flat frame is produced from
a large number of sky frames by a method similar to the coadding method used for creating the standard median sky, but
using all of the frames obtained in the long-term SDF observations. In generating the sky frame, the contribution of in-
dividual stars was maximally reduced by masking all of the
discernible stars. Then, we co-added all of the sky-subtracted
frames in which the offsets of the shift-and-add procedure had
been determined at a sub-pixel level from the bright sources
in each frame. Because the pixel values with scatters exceeding 3 σ were rejected, possible cosmic ray events or rare pixel
events due to unstable behavior were excluded.
The reduced J and K ′ band images are shown in figures 2
and 3, respectively; and the color composite created from these
two bands is presented in figure 4. Throughout these images,
the center position is 13h 24m 21.s 38 in RA and +27◦ 29′ 28.′′ 3 in
Dec at the epoch of 2000.0, as determined by the astrometric
measurement based on the position of a bright reference star
located in the northeastern corner of the SDF field, which is just
trimmed out in these figures. The unvignetted area presented in
figure 2 is 118′′ × 114′′ with a pixel scale of 0.′′ 116 per pixel.
The stellar image sizes of figures 2 and 3 are 0.′′ 45 in FWHM
for the J band, and 0.′′ 35 for the K ′ band. In producing the
combined color image of figure 4, we applied a smoothing filter
to the K ′ image to match the image size in J of 0.′′ 45 at FWHM.
For source detection and photometry on the reduced SDF
frames, we employed a routine called SExtractor, developed by
Bertin and Arnouts (1996). Before applying it, images of both
bands were smoothed out by a Gaussian filter that made the image resolution 0.′′ 55 at FWHM, because we have learned that
filtered images give optimal source detection capability with
less spurious source detection by iterative trials of SExtractor.
We define the detection threshold as the 1.50 σ level of the
surface brightness fluctuation of the sky, which corresponds to
25.59 mag arcsec−2 in the J band and to 24.10 mag arcsec−2 in
the K ′ band. If an assemblage of at least 18 pixels, which are
connected to each other, has an excess signal over the thresholds, we regarded it as positive detection. We have thus defined the isophotal magnitude by integrating the signal within
the region that exceeds the threshold level. In addition, we have
listed the total magnitude as well as the aperture magnitude in
our primary catalog.
The total numbers of sources detected and cataloged through
the above procedures are 911 and 939 in the J and K ′ bands,
respectively. Note that the catalog may contain spurious
sources due to the effect of noise. Regardless of the reliability
of each source, we have accomplished photometric calibration
of the data by a reference star in the same frame whose brightness has been determined by measuring standard stars: FS 23
and FS 27, selected from the UKIRT faint star catalog (Casali,
Hawarden 1992: JCMT–UKIRT Newsletter 4, 33). The resultant calibrated catalog will be reported elsewhere when optical
data are obtained.
To obtain a diagram of number count versus total magnitude, we have to assess the spurious detection of sources due
to the effect of statistical noise and also the error of source
photometry. For noise evaluation, we first created a reference
frame (artificial blank sky) using SDF raw frames, but with all
traces of detected objects removed. To ensure removal of much
fainter objects from the reference frame, we also referred to the
co-added object frames for identification. The final blank-sky
frames in both bands were thus obtained by co-adding all the
frames without adjusting the dithering offset. Then, by applying SExtractor to the sky frame, we evaluated the rate of spu-
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[Vol. 53,
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1
1
0.1
0.1
15
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Fig. 6. Number count vs. magnitude diagram for the J band. The number counts corrected for completeness are plotted with filled symbols,
while the raw counts are open symbols. The circles, triangles, and
squares denote total, isophotal, and aperture magnitudes, respectively.
rious source detection, and thus obtained the correction factor
for the raw result. It was found that spurious source detection
tends to affect the source count discussed below, but only in the
S/N < 5 range.
In the next step, a number of artificial objects (mock galaxies) with a wide range of brightness as well as source size were
embedded in the real image frames. The brightness distribution
of the objects in the faint region are assumed to be represented
by a slope of ∼ 0.23 (derived from the raw data with S/N > 5).
In the course of this calculation, the SExtractor software was
applied multiple times to establish a relationship between the
input photometric brightnesses and the measured ones. The results of simulations are shown in figure 5, where each dot represents the measured magnitude for an input object of a given
magnitude. The relation is expressed by a matrix-type operator. This method has been employed in galaxy count studies
(e.g., Smail et al. 1995; Minezaki et al. 1998). Based on the
matrix, we can evaluate errors in photometry, and also correct
the raw number count data using the completeness curves, as
shown in the lower panel of figure 5.
The source counts against magnitude, with and without a
correction for completeness, are plotted in figures 6 and 7,
where data points of the total, isophotal, and aperture magnitudes are presented for a comparison. As can be seen from
these figures, the correction becomes significant at magnitudes
larger than 25.5 mag in J and 24 mag in K ′ . If we define
a S/N of 5 for definite detection, the limiting magnitudes are
25.1 mag in J and 23.5 mag in K ′ , with the number of sources
being 385 and 350, respectively. The magnitudes corresponding to detection completeness of 50% are 24.4 mag in K ′ and
25.8 mag in J .
14
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Fig. 7. Same as figure 6, but for the K ′ band.
4.
Results and Discussion
4.1. Corrected Number Counts
The corrected number counts in both the J and K ′ bands are
tabulated in table 3. In figures 8 and 9, we plot them for J band
sources and for K ′ band sources, respectively. Also plotted are
those of other surveys taken from the literature. In the table
and figures, our data refer to the total magnitude, while some
of the other data points are defined by the aperture magnitude.
The source sizes in the faintest magnitude range are very small
and, in general, are smaller than the aperture adopted in most
aperture photometry. This means that the aperture magnitude
is virtually the same as the total magnitude, since the aperture
is normally taken to be larger than the seeing size. In this first
report of the SDF survey program, we shall concentrate mostly
on those sources having relatively high S/N-ratios; i.e., S/N of
∼ 5 or more. We will prepare a separate paper in which the
galaxy counts, colors, and morphologies at the faint end will
be examined.
Here, it should be noted that the contribution of stars to the
number counts is estimated by a simulation, and that the point
sources (14 objects in the SDF field have been identified) have
been excluded. The actual procedure for the simulation, by
which a criterion is established to identify stellar objects, will
be described in a later section.
Some quasi-stellar objects (QSOs) may also be included in
the identified stellar objects. However, their contribution to
the number counts should be smaller than that of stars in view
of the result found by Huchra and Burg (1992), who reported
that the fraction of all types of Seyfert galaxies at the absolute
magnitude limit of −20.0 is about 1.3% in the CfA redshift
survey. Brighter objects with a stellar appearance are expected
to be less abundant than Seyfert galaxies.
In figure 10, we plot the galaxy number counts against the
AB magnitude scale to compare the slope as well as the absolute number density of different photometric bands obtained
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No. 01]
Subaru Deep Survey I. Near-Infrared Observations
31
Table 3. Corrected number counts.
Magnitude
J band
Error
0.000e+00
0.000e+00
0.000e+00
2.500e+02
1.942e+03
2.725e+03
3.354e+03
2.776e+03
5.044e+03
5.162e+03
6.705e+03
7.789e+03
9.255e+03
1.070e+04
1.224e+04
1.333e+04
1.524e+04
1.905e+04
2.949e+04
5.623e+04
1.227e+05
Bershady et al. 1998
Saracco et al. 1999
Thompson et al. 1999
This work
1000
100
15
Jenkins & Reid 1991
Gardner et al. 1993
Glazebrook et al. 1994
McLeod et al. 1995
Moustakas et al. 1997
Bershady et al. 1998
Minezaki et al. 1998
Saracco et al. 1999
This work
1000
16
17
18
19
20
21
22
23
24
25
26
27
Fig. 8. Galaxy number count vs. magnitude of the J band. The data
and authors of previous surveys are shown in the panel.
so far. Here the HST–NICMOS J and H band data are taken
from Yan et al. (1998) and Thompson et al. (1999). In these
figures, previously published data of galaxy number counts
are also plotted. The spatial number density of galaxies in
the SDF appears to be a good match with that given by Yan
et al. (1998), who presented the H band number count obtained
with HST–NICMOS operating in the so-called parallel mode.
It is also consistent with Thompson et al. (1999) at the faint
end (at H = 23.5–26 AB mag), but deviates greatly at magni-
100
14
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Count
0.000e+00
0.000e+00
0.000e+00
3.231e+01
1.949e+03
3.851e+03
5.769e+03
3.996e+03
1.314e+04
1.368e+04
2.296e+04
3.099e+04
4.357e+04
5.835e+04
7.499e+04
8.759e+04
1.131e+05
1.615e+05
2.160e+05
2.624e+05
3.451e+05
16.25
16.75
17.25
17.75
18.25
18.75
19.25
19.75
20.25
20.75
21.25
21.75
22.25
22.75
23.25
23.75
24.25
24.75
25.25
25.75
26.25
K ′ band
Count
Error
1.918e+03 1.931e+03
1.358e+02 5.118e+02
5.635e+03 3.293e+03
5.755e+03 3.338e+03
7.721e+03 3.869e+03
9.653e+03 4.326e+03
1.346e+04 5.100e+03
1.915e+04 6.111e+03
2.885e+04 7.513e+03
4.757e+04 9.647e+03
5.145e+04 1.006e+04
7.073e+04 1.187e+04
8.419e+04 1.307e+04
1.066e+05 1.488e+04
1.487e+05 1.873e+04
1.962e+05 3.129e+04
2.548e+05 5.648e+04
3.421e+05 1.031e+05
4.793e+05 2.214e+05
—
—
—
—
15
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23
24
25
26
Fig. 9. Same as figure 8 but for the K ′ band.
tudes brighter than 22.5 mag, possibly due to lower statistics.
In contrast, the absolute number densities given by some of the
past ground-based surveys differ substantially from that of the
present SDF survey in the magnitude range ≥ 23 AB mag. It
would still be necessary to increase the survey areas as well as
to obtain higher S/N ratios to examine the possible structural
inhomogeneity of the Universe. Nevertheless, the SDF area is
so far the largest among deep near-infrared surveys, and therefore should be a more accurate representation of the global distribution of galaxies in the Universe. Another important result
32
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Mobasher et al. 1986
Jenkins & Reid 1991
Gardner et al. 1993
Glazebrook et al. 1994
McLeod et al. 1995
Moustakas et al. 1997
Bershady et al. 1998
Minezaki et al. 1998
Saracco et al. 1999
This work
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Fig. 10. AB magnitude plots of J , H , and K ′ band data. Previous
near-infrared surveys are also plotted for a comparison.
Fig. 11. Integrated flux of SDF sources (filled circles) in each magnitude bin. The fluxes of other survey data are also shown.
derived from figures 8, 9, and 10 is that the near-infrared color
J −K ′ is almost constant, at least in the AB mag range from 22
to 25.5 mag, and the median color is ∼ 1.4, as described next.
which assumes that all galaxies are small in size. Since the
completeness correction may be larger than this, if there are
galaxies with larger spatial extents, and thus with lower surface brightnesses, the above estimate may be an underestimate
of the K ′ band EBL. However, as can be seen in figure 11,
because the bulk of EBL comes predominantly from relatively
bright galaxies at K ′ ∼ 15–20, we consider that the uncertainty
in the counts at the faintest magnitudes in the SDF does not
significantly change the above estimate of the EBL.
4.2. Extragalactic Background Light (EBL)
As for the slope of the galaxy count in the K ′ band, we have
to be careful in interpreting it because we have assumed a slope
of 0.23 in the model source number count in the simulation process. This affects the result at the faint end, although the slope
is iteratively corrected and has converged at 0.23. It should
also be noted that this slope is derived by applying the correction factor of completeness, in which we have assumed, for
simplicity, that these faint galaxies are point sources, since apparent sizes of the detected faint sources are sufficiently small.
Figure 11 shows the contribution to the EBL in the K ′ band as
a function of the apparent magnitude. This figure shows that
we have already resolved the EBL consisting of discrete galaxies in this band. The optical galaxy counts in the HDF have
also shown such a signature (see Pozzetti et al. 1998). The
present result of the SDF in the near-infrared band gives clear
evidence that the bulk of EBL is contributed by an integration
of fairly bright discrete sources, consistent with a similar diagram shown by Pozzetti et al. (1998), who compiled available
K band data.
We can now evaluate the surface brightness as EBL by integrating individual sources over a wide magnitude range of
10 ≤ K ′ ≤ 25. The estimate using our data as well as published count data is ∼ 5.1 × 10−20 erg cm−2 s−1 Hz−1 sr−1
in the K ′ band. The major contribution to EBL is made by
fairly bright galaxies of about K ′ ∼ 15–20 mag. Note that the
contribution of sources fainter than K ′ = 25 mag to the surface brightness is small, since the slope is no more than 0.23.
Extrapolation both into the faint and bright end adds at most
∼ 5% of the above value of the EBL flux. It should be noted
that these estimates are based on a completeness correction,
4.3. Near-Infrared Color and Morphology of Faint Galaxies
Figure 12 shows the J − K ′ color vs. K ′ magnitude diagram
of near-infrared sources. Here, we have omitted sources assigned as stellar objects. Since the photometric aperture of the
total magnitude in the J band is not always the same as for
the K ′ band, it is necessary to define a color with the same
aperture of the two bands. Therefore, we have calculated colors of smaller sources in figure 12 in terms of the photometric
magnitudes defined by 10 pixels, i.e., a 1.′′ 16 diameter. Even if
an object is picked up only in the J band and is not detected
by our criteria in the K ′ band, a K ′ photometric brightness is
artificially given by measuring the encircled intensity with the
same aperture as that defined in the J band, thus providing the
J − K ′ color of the sources.
The median color is shown by the filled squares in figure 12,
while the thin lines represent color–magnitude curves for four
categories of galaxy (E/S0, Sbc, Scd, and Irr), all of which were
drawn by applying only the K-correction (Coleman et al. 1980;
Yoshii, Takahara 1988). Pozzetti et al. (1996) presented a study
of the pure luminosity evolution (PLE) model to examine faint
galaxy count data from the U to the K band in which luminosity evolution as well as mild spectral evolution are incorporated; they have shown that simple PLE models are in general considered to be as baseline models of faint galaxy counts.
However, as they also noted, the discrepancy between the PLE
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Jenkins & Reid 1991
Gardner et al. 1993
McLeod et al. 1995
Moustakas et al. 1997
Bershady et al. 1998
Minezaki et al. 1998
Saracco et al. 1999
Yan et al. 1998
Thompson et al. 1999
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E/S0
Sbc
Scd
Irr
-1
-2
-3
16
17
18
19
20
21
22
23
24
25
26
27
Fig. 12. Color–magnitude relation for the SDF sources. Objects detected in both the J and K ′ bands are plotted by open circles. Objects
detected either in the J or K ′ band are represented by “×” or “+”
marks, respectively. The thin solid lines are the color change vs. magnitude for representative types of galaxy assuming a simple no-evolution
model based on SED models of Yoshii and Takahara (1988) and
Coleman, Wu, and Weedman (1980). The solid squares show the median color with the standard deviation. Note that objects detected only
in the J or K ′ band have been photometrically measured with the same
aperture sizes to determine the K ′ or J band magnitudes, respectively,
as explained in the text.
models and the K band data is more significant than in the optical bands. One may notice that, as shown in figure 12, the median color of sources is fairly constant up to about K ′ = 22 mag,
and then becomes slightly redder as the brightness gets fainter,
although the standard deviation is large. As for the color of
faint galaxies, Saracco et al. (1999) argued that the median
J − Ks color of galaxies becomes redder from 1.1 to 1.5 up
to Ks = 19 mag, and then tends to be somewhat bluer in the
fainter magnitude range. Such a trend is not necessarily inconsistent with figure 12, but it is noteworthy that the color is, by
and large, constant at least in the magnitude range where the
selection effect is still small (S/N > 5 for both bands), but with
significant statistics. In order to interpret the observed galaxy
counts as well as the color–magniture relation, it is necessary
to introduce galaxy evolution models in which different formation epochs (zF ) for different galaxy categories are presumed.
Such quantitative analyses for the present J − K ′ color vs. luminosity relation will be discussed in our forthcoming paper.
In figure 12, sources with J − K ′ colors redder than 2.5
are discerned, where 4 objects out of 9 are not detected in the
J band. These large J − K ′ color objects in the faint region at
about K ′ = 23 mag are likely to be remote galaxies, as judged
from the apparent spatial extent as well as the derived “stellarity” index determined by SExtractor. Some of the reddest
objects in the SDF survey images are tabulated in table 3 and
also shown in figure 13. The listed objects are relatively bright
in K ′ (< 22.5 mag) and have J − K ′ colors equal to or larger
than 2.8. The object on the left appears to be a merger system,
and the third one from the left may represent an interacting system, although it is possible that they could just appear as close
neighbors.
Extremely red objects with unprecedentedly large J − K ′
colors located in the faint-magnitude domain are currently
given special attention in connection with galaxy formation in
the earliest epoch. Dickinson et al. (2000) found an unusual infrared object in the HDF North field detected only in the H and
Ks bands with no detectable fluxes shorter than the J band. It
has the H − K color of about 1.2 with the J − H color limit
of nearly 3. They discuss three possible interpretations, which
are: i) a dusty z > 2 galaxy, ii) an old elliptical at z > 3, or iii)
a z > 10 Lyman break galaxy. Similar objects were reported
by Yahata et al. (2000), who list possible extremely high redshift galaxies in the HDF South NICMOS field. Nine objects
appear to have a break between 1 and 2 µm. Redshifts of the
sources have been derived from U to K band data by a method
of photometric redshift determination that spans from z = 7.66
to 15.45.
Since we have so far not acquired any data in the optical
bands for the extreme SDF objects, we cannot infer photometric redshifts on a firm basis. Nevertheless, infrared color as
large as J − K ′ ≥ 2.8 suggests that these objects belong to the
same population of the HDF-South NICMOS objects having
a redshift z ≥ 10. It is however necessary to obtain optical
band photometric information, as well as spectroscopic data
with highly sensitive instruments, such as the OHS, for further
examining these objects. We can determine whether they are
moderately redshifted (z ∼ 2–4) ellipticals or unprecedentedly
high-redshift galaxies.
4.4. Faint Stellar Populations in the Galaxy
In order to extract stars from the table of SDF sources detected at S/N > 5, we have developed a procedure of star–
galaxy separation based on a detectivity test using mock stars.
It is similar to the completeness test of the source count in conjunction with the SExtractor. The criteria for identifying stars
from SDF sources are basically expressed by the following two
conditions. The first one is that the FWHMs are smaller than
0.′′ 47 and 0.′′ 34 for bright sources in the J and K ′ bands, respectively. In addition, based on a simulation, it is found that the
limiting sizes should be corrected in the fainter source region,
by adding terms: i.e., 10(m−me )/2.5 , where m is the magnitude
of the source, and me = 26 and 25 mag for the J and K ′ bands,
respectively. The second condition is that the stellarity index
which is given by SExtractor, is larger than 0.8. By adopting
these criteria, 14 objects are classified as stars on a fairly firm
basis. Naturally, possible stellar objects with stellarity indexes
larger than 0.8 could be excluded due to the first criterion. See
Nakajima et al. (2000) for the detailed procedure of galaxy–
star separation we have developed. The completeness of the
identification of stars has also been estimated with this simulation, which is about 60% for sources brighter than 24 mag in
the J band, or 23 mag in the K ′ band. We plot the SDF objects
in the FWHM vs. J − K ′ color diagram, as shown in figure 14,
where objects satisfying the above criterion are marked by open
star symbols.
It is interesting to note that several relatively bluer
(J − K ′ ∼ 0.6) stellar objects appear to concentrate in the
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0
33
34
T. Maihara et al.
2
3
4
Fig. 13. Examples of images of the four reddest objects found in the SDF. J band images are shown in the upper row, and K ′ band images are in the
lower row.
2.5
2
1.5
1
0.5
0
-1
0
1
2
3
4
Fig. 14. FWHM vs. J − K ′ color diagram. FWHM values are adopted
from K ′ band images. The open stars represent objects identified as
stars on the basis of the proclaimed criteria (see text). The open circles are objects detected in both bands, while the “×” and “+” marks
represent objects selected only in the J band and K ′ band, respectively.
lower left: a well-confined region on the diagram. These are
presumably extreme M subdwarf (ESD) stars, as classified by
Leggett, Allard, and Hauschildt (1998). The extreme M subdwarfs are supposed to be members of the galactic halo and
have very low metallicity. They are listed in the tables of lowmass stars presented by Leggett, Allard, and Hauschildt (1998),
and are characterized by effective temperatures of about 3000
K and by masses of 0.09–0.15 M⊙ . From their photometric
data it is seen that the brightness range of ESD stars is from
K = 11 to 15 mag and that the J − K ′ color is 0.65 ± 0.15. In
view of these, some 10 stars in the confined region of figure 14
are most probably extreme M subdwarfs. Since their absolute
magnitudes span from MJ = 9.5 to 10, we should have reached
about 8 kpc to capture ESD stars by the present observations
with K ′ band-limiting magnitudes of ∼ 24.5 mag. The estimated volume density due to these stars is 2.5×10−4 M⊙ pc−3 .
Even if the density of stars is extended uniformly to 30 kpc, the
total mass is slightly lower than 1011 M⊙ , so that it could not be
the majority of galactic dark matter.
Another group of stellar components, significantly redder
than M subdwarfs, is noticed in figure 14 in the J − K ′ color
range from 1 to 1.5. It is likely that they correspond to the
L-type dwarfs defined by Kirkpatrick et al. (1999), who have
found very red stellar objects with J − Ks colors from 1.3 to
2.1 (practically the same color as the J − K ′ color). They have
claimed that at least one third of L-type stars show lithium absorption, and that they are definitely in the category of brown
dwarfs.
On the other hand, note that objects with J −K ′ color of ∼ 0
and small FWHM values are plotted in figure 14. In fact, they
had a fairly large stellarity index (> 0.8) in the J band, but were
dropped from identification due to faintness in the K ′ band.
The color is consistent with a T-type brown dwarf, GL 229B
(Nakajima et al. 1995; Kirkpatrick et al. 1999). However, it
is necessary to prove the nature of these L-type and T-type
candidates through future multi-wavelength photometric and
spectroscopic observations. Related discussions on the stellar
members in SDF will be presented in Nakajima et al. (2000).
Finally, it is worth noting that the SDF sources have a connection to old, cool white dwarfs, which have recently drawn
attention because they might account for most of the hidden
baryonic mass of the Galaxy. Hodgkin et al. (2000) reported a
cool white dwarf showing an extraordinary spectrum affected
by the collision-induced absorption by hydrogen molecules,
i.e., very red in the optical region, but extremely blue at wavelengths longer than 1 µm, with a J − K ∼ −1.4. In addition,
Harris et al. (2000) identified LHS 3250 as a very cool white
dwarf with a J −K of −0.86. A couple of old white dwarf candidates were also found with HDF frames taken at a 2-year interval, which are believed to be halo members, as inferred from
proper motion data (Ibata et al. 1999). These candidates were
spectroscopically shown to be white dwarfs (Ibata et al. 2000).
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Table 4. K ′ magnitude and color of extremely red objects.
ID No.*
1
2
3
4
Position† (2000.0)
13 24m 22.s 38 +27◦ 29′ 49.′′ 5
13h 24m 22.s 39 +27◦ 29′ 01.′′ 9
13h 24m 21.s 16 +27◦ 29′ 01.′′ 9
13h 24m 22.s 84 +27◦ 30′ 08.′′ 4
h
K′
20.91 (±0.05)
22.03 (±0.09)
21.99 (±0.05)
22.31 (±0.14)
J − K′
2.97 (±0.14)
3.65 (±0.40)
2.81 (±0.20)
4.12 (±1.04)
*
ID numbers assigned to objects are from left to right in figure 13.
Astrometry of these objects was made by the coordinates of an HST guide star found in
the flanking field. The estimated accuracy is ± 0.′′ 15.
†
5. Summary
A deep near-infrared survey with the newly commissioned
Subaru Telescope has been reported. We present two color
data of J and K ′ bands as deep images as well as diagrams
of the galaxy number count vs. magnitude, of color vs. magnitude, and of size vs. color. i) It is found that slopes of galaxy
number count plotted against the AB mag scale in both the J
and K ′ bands are about 0.23 in the 22 to 26 AB mag range,
which remain the same up to the faint end without a significant change. ii) From this result, we argue that the integrated
surface brightness of faint SDF sources does not make an appreciable contribution to the extragalactic background light
(EBL); in other words, the total EBL contributed by galaxies up
to the faint end has almost been completely resolved. However,
measurements of diffuse EBL at this wavelength, if performed
with sufficient precision, may pose a crucial cosmological issue
regarding light sources other than individual galaxies. iii) The
color–magnitude diagram shows a fairly constant J − K ′ color
(∼ 1.5) up to about K ′ ∼ 23 mag, although a scattered distribution, especially toward redder color, is noticed. vi) Intriguing
objects with extremely red J − K ′ colors are found in the SDF
region. The listed objects are relatively bright (S/N > 5), and
thus are safely classified as galaxies. The possibility of very
high redshift objects, that is, candidates of Lyman break galaxies, are briefly discussed. v) A certain number of stellar sources
have been identified, most of which are supposed to be M subdwarfs having colors of J − K ′ ∼ 0.6. These are considered to
be located at a median distance of about 2 kpc and are expected
to provide samples for further studies of stars of this class for
the purpose of examining a luminosity function as well as a
contribution to the Galaxy mass. Brown dwarfs of the T-type
may also be included in the detected source list. This should
be confirmed by spectroscopic measurements.
Finally, it should be noted that the present near-infrared
SDF survey work is the first step of the Subaru Deep Survey
project planned to perform using other facility instruments of
the Subaru Telescope. For instance, follow-up observations
of optical deep imaging with an optical spectrograph/camera,
called FOCAS (Kashikawa et al. 2000), will provide essential data to determine photometric redshifts of detected nearinfrared sources. Objects as faint as H = 21.5 or J = 22 mag
are well within the feasible range of spectroscopic observations
with the OH-airglow suppression spectrograph (OHS), which
has a unique capability of obtaining 1.1 to 1.8 µm spectra of
16 objects within a 3′ field simultaneously, giving crucial information about the SDF sources.
We deeply appreciate the devoted support of the Subaru
Telescope staff for this project. We also thank the engineering
staffs of Mitsubishi Electric Co. and Fujitsu Co. for technical
assistance during the observations. The authors would like to
acknowledge helpful discussion about stellar components with
Tadashi Nakajima and Takashi Tsuji.
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