The Cosmic Microwave Background
Tomi Ylinen KTH/HIK
KTH 5A5461
Experimental Techniques in Particle Astrophysics
Outline
• Introduction
• Theory
• Detection
• Case studies: COBE, WMAP
• The future: Planck
Introduction
Why bother?
• Measurements of the Cosmic Microwave Background (CMB) allow for precise estimations of the age, composition and geometry of the universe
• What is the universe made of? How old is it? And where did objects in the universe, including our planetary home, come from?
Introduction
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History
• First discovered by Arno Penzias and Robert Wilson of AT&T Bell
Laboratories in 1965, when trying to remove a weird background noise in their radio antenna (they
thought it was bird crap).
• Received the Nobel Prize in 1978
Introduction
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http://map.gsfc.nasa.gov/m_uni/uni_101bbtest3.html
Once upon a time…
• Early universe
composed of a plasma of charged particles and photons
• After 380 000 years of cooling, first atoms formed and the
universe became
transparent to photons
Theory
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W. Hu and M. J. White, "The Cosmic Symphony", Sci. Am., 290N2, (2004) 32
Mathematically speaking
• The anisotropies in the CMB sky can be described by a spherical harmonic expansion
• Observations can be divided into three categories:
– Monopole (a00): the mean temperature of the CMB
– Dipole (l=1): the anisotropy caused by the movement of the solar system relative to the CMB
– Higher-order multipoles (l≥2): anisotropy caused by perturbations in density in the early Universe
Theory
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,
,
lm
lm lmY a T
Mathematically speaking (2)
• Many models of the early Universe say that the temperature anisotropies should obey Gaussian statistics All statistical
properties of the temperature anisotropies can be computed from a single function of multipole index l, the power spectrum
• Thomson scattering of anisotropic radiation at last scattering gives rise to ~5% polarization in the CMB This gives two measurable quantities called the Stokes Q and U parameters These can be decomposed into E- and B-type polarization patterns
• The temperature anisotropies can then be characterized by four power spectra CT, CE, CB and CTE
Theory
7/34
Monopole
• Due to the expansion of the
universe, the photons have cooled from an initial black-body
distribution at 3000 K to a present value of about 2.725 ± 0001 K
• Measured using absolute temperature devices
Theory
8/34
1 1 2
2 3
kT hv
c e v hv
I
http://www.astro.ucla.edu/~wright/CMB.html
Dipole
• Anisotropy with an amplitude of 3.358 ± 0.017 mK, caused by the fact that Earth, our Solar system and Galaxy is moving relative to the CMB.
• Can be used for calibration
Theory
9/34
http://map.gsfc.nasa.gov/m_mm/ob_techcal.html
Higher-order multipoles
• The temperature variance as a function of the sizes of the hot and cold spots, i.e. the power spectrum, fully characterizes the anisotropies
• From this plot a vast variety of information about the early universe can be extracted
• Measured using
differential temperature devices
Theory
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Fundamental wave, largest
variations
Overtones Sharp cut-off due to wave
dissipation (λ < xmean)
W. Hu and M. J. White, "The Cosmic Symphony", Sci. Am., 290N2, (2004) 32
Anisotropies
• Inflation in combination with quantum fluctuations
triggered soundwaves in the primordial plasma, which much like a musical
instrument had a
fundamental wave along with a series of overtones
• After recombination, the density anisotropies were frozen into the cosmic microwave background radiation
Theory
11/34
W. Hu and M. J. White, "The Cosmic Symphony", Sci. Am., 290N2, (2004) 32
Detection
• What do we want to detect?
– Temperature (energy) of the CMB
– Anisotropies in the CMB temperature at different scales – Polarization of the CMB
• How can we detect them?
– Heterodyne detection Incoherent detection
– Detectors pointed in different directions – Polarization sensitive detectors
Detection
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Heterodyne detection
• A horn receiver working like an antenna picks up the radiation
The pulse is mixed with a
different frequency from a local oscillator The output (IF = Intermediate Frequency) is finally fed through a diode which converts the pulse into a proportional voltage
• Examples are Dicke-receivers (COBE) and HEMT-based (High Electron Mobility
Transistor) detectors (WMAP)
Detection
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http://lambda.gsfc.nasa.gov/product/cobe/COBE_gallery.pdf
Incoherent detection
• Consist of an absorber of heat capacity C, which is connected via a weak thermal link, G, to a heat reservoir with a constant
temperature T0 Bolometer
• The absorber is exposed to the power of incoming light Psignal and a bias power Pbias. The temperature of the absorber is then T = T0 + (Psignal + Pbias)/G
• The energy of an incoming photon is
determined by measuring the temperature increase it causes to the absorber.
Detection
14/34
http://www.planck.fr/article227.html
http://bolo.berkeley.edu/bolometers/introduction.html
Polarization
• Polarization in the CMB can be measured using a polarization
sensitive bolometer, with two layers of absorbers corresponding to perpendicular polarization directions
Detection
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http://www.planck.fr/article228.html
Complications
• Foregrounds
Microwave emission from our Galaxy and from extragalactic sources through
synchrotron, bremsstrahlung and dust
emission. Observations at several frequencies enable separation
• Secondary anisotropies
Gravitational lensing, patchy reionization and the Sunayaev-Zel’dovich effect, i.e. Inverse Compton scattering of the CMB photons by a hot electron gas, which gives spectral distorsions
• Higher-order statistics
Most of the CMB anisotropy information is contained in the power spectra, but weak signals are present in higher-order statistics, which can measure any primordial non-Gaussianity in the perturbations
Detection
16/34
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Case studies
• Choosing to take a closer look at:
COBE • WMAP • Planck
• Other experiments:
ACBAR • ACME/HACME • ACT • AMI • AMiBA • APACHE • APEX • ARCADE • Archeops • ARGO • ATCA • BAM • BaR-SPOrt • BEAST • BICEP • BIMA •
BOOMERanG • CAPMAP • CAT • CBI • CG • Clover • COSMOSOMAS • DASI • EBEX • FIRS • KUPID • MAT • MAXIMA • MBI-B • MINT • MSAM • PIQUE • POLAR • POLARBeaR • Polatron • Python • QMAP • QMASK • QuaD • QUIET • RELIKT-1 • SK • SPOrt • SPT • SuZIE • SZA • Tenerife • TopHat • VSA
Case studies
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COBE
• Operational 1989-1993
• Carried three instruments:
FIRAS, DMR, DIRBE
• Sensitivity ΔT/T ~ 10-5 Angular resolution ~7°
• John Mather and George Smoot
received the Nobel Prize for this in 2006
18/34
COsmic Background Explorer
Case studies
COBE instruments
• Far Infrared Background Experiment (FIRAS)
– A polarizing Michelson-interferometer, designed to obtain a precision measurement between the CMB spectrum and a Planckian calibration spectrum. The energy was measured by bolometric detectors.
19/34 Case studies
http://lambda.gsfc.nasa.gov/product/cobe/COBE_gallery.pdf
COBE instruments
• Differential Microwave Radiometers (DMR)
– Designed to detect the temperature
differences in the CMB. The receiver input is alternately connected to two separate antennas pointing in different directions in the sky
– If the two parts of the sky differ in
brightness, the signal will change when the switch moves from one antenna to the other – To show that the differences come from the
sky and not from the differences in the antennas, the whole apparatus is rotated
20/34 Case studies
COBE instruments
• Diffuse Infrared Background Experiment (DIRBE)
– An off-axis Gregorian telescope, designed to make an absolute measurement of the spectrum and angular distribution of the diffuse infrared background.
– The vibrating beam interrupter allows for continuous comparison between the sky and a cold zero-flux surface inside
the instrument
21/34 Case studies
http://lambda.gsfc.nasa.gov/product/cobe/COBE_gallery.pdf
WMAP
• Operational 2001-present
• Carries dual back-to-back Gregorian telescopes that feed 20 differential polarization sensitive radiometers
• Sensitivity ΔT/T ~ 35 . 10-6 Angular resolution ~15’
• 45 times better sensitivity and 33 times better angular resolution than COBE
22/34
Wilkinson Microwave Anisotropy Probe
Case studies
http://map.gsfc.nasa.gov/m_ig.html
WMAP instruments
• Basically the same idea as in COBE
23/34 Case studies
Credit: WMAP
Results so far
• Anisotropy map after combining the different frequencies and thereby being able to
subtract the foreground radiation (our Galaxy)
• An example of a polarization map measured at 23 GHz.
Color indicates strength.
Most of the polarization comes from our Galaxy
24/34 Case studies
http://map.gsfc.nasa.gov/m_mm.html http://wmap.gsfc.nasa.gov/m_or.html
Results so far (2)
25/34Case studieshttp://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Results so far (3)
26/34Case studiesT
TE
E
B Average levels
for foreground model BB lensing signal
L. Page, et.al., ”Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis ”, ApJS, 170, (2007) 335
The future: Planck
• Planned launch in July 31, 2008 + ε
• Will measure the anisotropies in the CMB with unpresedented sensitivity (ΔT/T ~ 2 · 10-6) and angular resolution (5’)
The future: Planck
27/34
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf http://astro.berkeley.edu/~mwhite/rosetta/node3.html#SECTION00030000000000000000
Planck resolution
The future: Planck 28/34Simulated skymaps
5°
5°
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Planck resolution
The future: Planck 29/34http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Instruments
The future: Planck 30/34• An off-axis telescope with diameter 1.5 m and two cryogenic instruments, LFI and HFI, shielded by
baffles
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Planck LFI
• An array of receivers based on so-called HEMT amplifiers, covering the frequency range 30-70 GHz and operating at 20 K
• All LFI channels can measure
polarization and intensity
The future: Planck
31/34
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Planck HFI
The future: Planck 32/34• An array of receivers based on bolometers, covering the frequency range 100-857 GHz and operating at 0.1 K
• Four channels can measure polarization
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA-SCI%282005%291_V2.pdf
Summary
• Accurate measurements of the Cosmic Microwave
Background can reveal a vast variety of properties about the universe, such as the composition, age and geometry
• To measure the tiny temperature variations, band filters,
interferometers, bolometers, transistors and diodes are used
• The field is highly active, with successful experiments and better ones coming up soon in the form of Planck
Summary
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References
References34/34Mission homepages
COBE http://lambda.gsfc.nasa.gov/product/cobe/
WMAP http://wmap.gsfc.nasa.gov/
Planck http://www.rssd.esa.int/index.php?project=Planck Articles
W. Hu and M. J. White, "The Cosmic Symphony", Sci. Am., 290N2, (2004) 32
W.-M. Yao, et al., "Review of Particle Physics", J. Phys. G33, (2006) 1 C.L. Bennett, et al.,” First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission”, ApJS, 148, (2003) 97
G. Smoot, et al., ”COBE Differential Microwave Radiometers:
Instrument Design and Implementation”, ApJ 360, (1990) 685-695 N. W. Boggess, et al., ”The COBE Mission: Its Design and
Performance Two Years after launch”, ApJ 397, (1992) 420-429 L. Page, et.al., ”Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis ”, ApJS, 170, (2007) 335
”Planck: The Scientific Programme”, ESA-SCI(2005)1,
http://www.rssd.esa.int/SA/PLANCK/docs/Bluebook-ESA- SCI%282005%291_V2.pdf
Books
M. Lachièze-Rey & Edgard Gunzig, ”The Cosmological Background Radiation”, Cambridge University Press (1999)
C. H. Lineweaver et al., ”The Cosmic Microwave Background”, NATO ASI Series, Vol. 502, Kluwer Academic Publishers
Internet
http://bolo.berkeley.edu/bolometers/introduction.html http://www.planck.fr/article227.html
http://scienceworld.wolfram.com/physics/PlanckLaw.html http://lambda.gsfc.nasa.gov/links/experimental_sites.cfm http://astro.berkeley.edu/~mwhite/rosetta/