Well over 100 submm-selected galaxies are now known (see Fig. 9), although their redshifts and detailed astrophysical properties are very largely uncertain. The key information available about their properties comes from observations of discrete galaxies made using the SCUBA and MAMBO bolometer array cameras at wavelengths of 450, 850 and 1200 µm. Counts of distant galaxies at far-IR wavelengths of 95 and 175 µm have also been measured using the PHOT instrument aboard ISO. Limits to the counts at 2.8 mm have been obtained using the Berkeley-Illinois-Maryland Association (BIMA) mm-wave interferometer. The results of all the relevant observations are compiled in Figs. 9 and 10. Information is also available about the population of mid-IR 15-µm sources using the CAM instrument aboard ISO (Altieri et al., 1999; Elbaz et al., 1999): see Fig. 22.
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Figure 9. A summary of count data from
several mm, submm and far-IR surveys. The overplotted curves are
derived in models that provide good fits to the compilation of data,
and are updated from the results in the listed MNRAS papers
(Blain et al., 1999b,
c).
Identical symbols represent post-1999 data from the same source. The
errors are shown as 1 |
![]() |
Figure 10. Counterpart to Fig. 9 for three other observing bands. The data at 1.2 mm (circles at flux densities less than 10 mJy) are from Bertoldi et al. (2001), Carilli et al. (2000) and Carilli (2001). The data at 450 µm (circles at 10-50 mJy) are from Smail et al. (2002), with limits from Smail et al. (1997) and Barger et al. (1998). The data at 175 µm (100 mJy) are from Kawara et al. (1998), Puget et al. (1999), Matsuhara et al. (2000), Juvela et al. (2000), Dole et al. (2001) and Stickel et al. (1998). |
![]() |
Figure 11. The observed intensity of cosmic background radiation between the radio and far-UV wavebands. The great majority of the background energy density in the Universe derived from sources other than the CMB is represented in this figure. Almost all of the rest appears in the X-ray waveband. Some significant uncertainty remains, but the combination of measurements and limits indicates that a comparable amount of energy is incorporated in the far-IR background, which peaks at a wavelength of about 200 µm, and in the near-IR/optical background, which peaks at a wavelength between 1 and 2 µm. The data originates from a wide range of sources: 1. Fixsen et al. (1998); 2. Puget et al. (1996); 3. Blain et al. (1999a); 4. Schlegel et al. (1998); 5. Hauser et al. (1998); 6. Lagache et al. (2000a) see also Kiss et al. (2001); 7. Puget et al. (1999); 8. Kawara et al. (1998); 9. Finkbeiner et al. (2000); 10. Stanev and Franceschini (1998); 11. Altieri et al. (1999); 12. Dwek and Arendt (1998); 13. Wright and Johnson (2002); 14. Pozzetti et al. (1998); 15. Bernstein (1999) and Bernstein et al. (2002); 16. Toller et al. (1987); 17. Armand et al. (1994); 18. Lampton et al. (1990); and 19. Murthy et al. (1999). For a detailed review of cosmic IR backgrounds see Hauser and Dwek (2001). Note that Lagache et al. (2000a, b) claim that the Finkbeiner et al. points (9) could be affected by diffuse zodiacal emission. Where multiple results are available in the literature the most sensitive result is quoted. |
From the properties of the counts and backgrounds alone, without any details of the individual galaxies involved, it is possible to infer important details about the population of distant dust-enshrouded galaxies.
The significant surface density of the faint SCUBA and MAMBO galaxies,
when coupled to plausible SEDs
(Blain et al., 1999b;
Trentham et al., 1999;
Dunne et al., 2000),
clearly indicates that the luminosity function of
distant dusty submm galaxies is much greater than that
of low-redshift IRAS galaxies
(Saunders et al., 1990;
Soifer and Neugebauer,
1991),
and undergoes very strong evolution.
An extrapolation of the low-redshift luminosity function
without evolution predicts a surface density of galaxies brighter
than 5 mJy at 850 µm of only about 0.25 deg-2,
as compared with the observed density of several 100 deg-2
(Fig. 9). Because of
the flat flux density-redshift relation in the submm shown in
Fig. 4, a 5-mJy SCUBA galaxy at
any moderate or high redshift (z > 0.5) has a
luminosity greater than about 8 × 1012
L. Immediately,
this tells us that the comoving density of high-redshift galaxies with
luminosities in excess of about 1013
L
is 400
times greater than at z = 0. We stress that the submm K correction
ensures that the redshift has little effect on the results: the
count would be approximately the same whether the population
is concentrated at
z
1 or extends
from z
2 to 10.
This estimate is subject only to an uncertainty in the dust
temperature, which is assumed to be about 40 K. Even if the dust
temperature of some of the galaxies is as low as the 20 K found for
low-redshift spiral galaxies, then their luminosity is still
about 8 × 1011
L, considerably
greater than the several 1010
L
expected
for typical spiral galaxies. This issue can be addressed by
taking into account both the observed
background spectrum and the counts at different wavelengths.
The submm-wave background radiation spectrum can also be exploited to provide information about the form of evolution of the luminosity function. The submm-wave background, measured directly using COBE-FIRAS (Puget et al., 1996; Hauser et al., 1998; Schlegel et al., 1998), reasonably exceeds the sum of the measured flux densities of discrete galaxies detected in SCUBA surveys (Smail et al., 1997, 2002; Blain et al., 1999a). However, the submm background makes up only a small fraction of the total energy density in the far-IR background, which peaks at a wavelength of about 200 µm and is generated by galaxies at redshift z ~ 1. The relatively flat source SEDs and the rate of change of the cosmic volume element at this redshift conspire to generate most of the background light, just as in the radio, X-ray, optical and near-IR wavebands. The mm and submm background radiation is unique in originating at a higher redshift. Very little of the background is expected to be generated at z < 1, and so it is an important signature of high-redshift galaxy formation. Despite representing only a small fraction of the total energy density in the cosmic background radiation, the mm-wave background is one of the cleanest measures of activity in the distant Universe.
There are significant consequences for the evolution of galaxies at high
redshifts due to the observed smooth power-law form of the
background spectrum,
I
2.64,
for
< 500 GHz
(Fixsen et al., 1998),
which originates at moderate to
high redshifts, on account of the submm-wave K correction.
The shape of the background radiation spectrum at frequencies greater than
about 100 GHz can be approximated quite accurately by
associating an evolving comoving volume emissivity
(
L
in units of W m-3) with an SED
that peaks at a single frequency
0, so that
L(z)
(
-
0)
(Blain and Longair, 1993b),
and then integrating over
cosmic volume over a fixed angle on the sky. If the SED, via
0, is assumed not
to evolve strongly with
redshift - there is no clear evidence that it does - then in order to
reproduce the observed slope of the mm/submm background
spectrum,
L(z)
(1 +
z)
-1.1 is required for z >> 1, and so the comoving
luminosity density of dust-enshrouded galaxies must decline at
large redshifts. If it did not decline,
then the background spectrum measured by
COBE would be too flat, with too much energy appearing at long
wavelengths. This argument has been made using Monte-Carlo
simulations of
L(z) by
Gispert et al. (2000).
A similar set of simulations have been carried out
by Eales et al. (2000),
taking into account the observed background
radiation spectrum, counts and inferred redshift distribution of
submm-selected galaxies.
An approximately equal fraction of the cosmic background radiation energy
density emerges in
the near-IR/optical and far-IR wavebands
(Fig. 11). Because dusty galaxies do not
dominate the total volume emissivity at low redshifts
(Sanders, 1999;
Yun et al., 2001),
then the volume emissivity of dusty galaxies must
increase by a factor of at least 10, matching the significant
evolution of the population of galaxies observed in the optical waveband at
z < 1
(Lilly et al., 1996),
to avoid the intensity of the
far-IR background radiation being significantly less than observed.
Only a very small fraction of the
total far-IR luminosity from all low-redshift galaxies comes from
galaxies more luminous than 1012
L, yet as
discussed above in the context of the submm-wave counts, these
luminous galaxies are much more numerous at high redshifts, by a factor
of several hundred. These twin constraints demand that the
form of evolution of the luminosity function of dusty galaxies cannot
be pure density evolution, a simple increase in the comoving
space density of all far-IR-luminous galaxies. If the counts were to be
reproduced correctly in such a model, then the associated background
radiation spectrum would be much greater than observed.
A form of evolution similar to pure
luminosity evolution, in which the comoving space density of galaxies
remains constant, but the value of L*, the
luminosity that corresponds to the knee in the luminosity function,
increases - in this case by a factor of order 20 - is
consistent with both the submm-wave counts and background intensity.
By a more rigorous process, taking into account all available information,
including the need to normalize the results to the observed low-redshift
population of dust-enshrouded galaxies from the IRAS
luminosity function and the
populations of galaxies observed by ISO at
z 1, the
evolution of the luminosity density
L
can be constrained. The results have been discussed by
Blain et al. (1999b,
c),
as updated in
Smail et al. (2002),
and by Eales et
al. (2000).
They are discussed further in Section 5 below.