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The Cosmic Microwave Background

By B. D. Wandelt; glossary and references added by Karen Y. Ng.

Since its Nobel-prize winning discovery in the late 1960s by Penzias and Wilson, the CMB has become the cornerstone of cosmological astrophysics. This radiation was emitted when the Universe was only 300,000 years old. It therefore provides a snapshot of the early Universe 40,000 times younger than it is now. Its main feature is its remarkably uniform brightness in all directions on which small fluctuations are imprinted at the level of 1 part in 105 (the anisotropies). These anisotropies were first reliably detected at low resolution by the COBE satellite in the early 1990s. George Smoot (my collaborator on the Planck space mission) received the Nobel Prize in Physics for this discovery in 2006, sharing the prize with John Mather, the principal investigator of the COBE missionand the leader of FIRAS, the instrument that showed that the CMB is a near-perfect blackbody.

Since then, COBE's observations have been confirmed and vastly extended by a range of other instruments from the ground, the upper atmosphere and space. Very recently, the presence of anisotropies in the CMB's polarization pattern has been discovered, in accordance with theoretical expectations. These polarization anisotropies, while even fainter than the temperature anisotropies, carry valuable additional information. Extracting the correlation properties of these anisotropies on the celestial sphere reveals sensitive measures of the global properties of the Universe, such as its overall density and geometry, its composition, and its properties in the very first instants of time.

This information is quantitatively encoded in cosmological parameters. Like no other cosmological observation, detailed analyses of the CMB anisotropies allow determining the structure, properties and ingredients of the Universe on super-large scales and at very early times, the basis for any theoretical description of cosmic history.

These direct observations of the 300,000-year-old Universe can be linked with great confidence to the cosmological parameters, because the physics that governs the CMB anisotropies is conceptually simple. Just as we can infer much about when, where and how the surface of a lake has been disturbed by the way a wave crests and troughs arrive at the shore, we can use the statistical properties of the CMB temperature anisotropies to deduce much about the history and nature of perturbations at earlier times, all the way back to the era where our current understanding of physics breaks down: the Planck Time.

The immediacy of the impact of CMB observations on our knowledge of the global properties of the Universe and the earliest moments of creation has led to an explosion of interest in this field, both theoretically and observationally. On the theoretical side, fundamental particle physics theory increasingly looks to cosmology for guidance on the way to a unified theory of all interactions. On the observational side, the United States leads an international effort to generate high quality CMB data. The culmination of this effort is in a series of CMB observatories in space currently headed by the successfully operating Wilkinson Microwave Anisotropy Probe (WMAP), and the development of the Planck satellite mission.

In a globally isotropic universe the information is not contained in localized features of the CMB anisotropies, such as the absolute placement and shape of individual hot and cold spots, but in the overall pattern or texture of the field. The information is contained only in properties of the field that depend on the relative angular distance between two locations in the sky. Mathematically, if the CMB anisotropies are a Gaussian random field, where 2-point statistics specify all higher order moments, this means that the angular power spectrum coefficients Cl of the anisotropies contain all of the information. Within the standard paradigm of cosmology the universe is isotropic and the primordial fluctuations, and hence the CMB, are Gaussian. Cosmological theory predicts the Cl given a set of cosmological parameters. Measuring the power spectrum Cl is therefore the main goal of all CMB experiments.


Glossary of Terms

 

( This symbol denotes citations from the Oxford Reference Online)
( This symbol denotes comments from the author)

 

Anisotropies
Physical properties that are different in different directions, e.g. the strength of wood along the grain differing from that across the grain. There are anisotropies in the CMB as CMB radiation fluctuates a little bit over the different directions in the sky.

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Cosmic Background Explorer (COBE) & Far Infrared Absolute Spectrophotometer (FIRAS)
A US astronomical satellite launched in 1989 to study cosmic background radiation. It confirmed the Big Bang theory of the universe's creation when its Far Infrared Absolute Spectrophotometer (FIRAS) measured the afterglow of the Big Bang. In 1992 it confirmed that radiation has a black body spectrum of temperature 2.73 K (-270.4 °C) and revealed ripples in the background radiation believed to mark the first stage in galaxy formation. Its final instrument was turned off on 23 December 1993.
http://lambda.gsfc.nasa.gov/product/cobe/ Describes the goals and workings of the Cosmic Background Explorer satellite, with a detailed account of the various instruments the spacecraft carries. Information on cosmology in general is available on the COBE Educational Resource page, which has links to tutorials, documents, and images from COBE.

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Planck Space mission
A European Space Agency mission scheduled for launch in 2007 to examine details of the cosmic background radiation that was the first electromagnetic radiation to fill the Universe after the Big Bang. Planck carries a telescope of 1.5 m diameter with detectors that will map the cosmic microwave background with far greater resolution and sensitivity than before. It will be positioned at the L2 Lagrangian point of the Earth's orbit, 1.5 million km from Earth in a direction opposite that of the Sun. Planck's results should help evaluate important cosmological values such as the Hubble constant as well as elucidating the nature of the dark matter that dominates the present Universe.
The spacecraft is named after the German theoretical physicist and Nobel prize winner Max Planck. European Space Agency site with information on all aspects of the Planck mission, including pages examining the fundamental questions Planck should help answer.

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Blackbody
A hypothetical body that absorbs all the radiation falling on it. It thus has an absorptance and an emissivity of 1. While a true black body is an imaginary concept, a small hole in the wall of an enclosure at uniform temperature is the nearest approach that can be made to it in practice.Black-body radiation is the electromagnetic radiation emitted by a black body. It extends over the whole range of wavelengths and the distribution of energy over this range has a characteristic form with a maximum at a certain wavelength. The position of the maximum depends on temperature, moving to shorter wavelengths with increasing temperature. See Stefan's law; Wien's displacement law. In fact, the CMB radiation is the best blackbody that has ever been observed. For more information, see http://lambda.gsfc.nasa.gov/product/cobe/firas_image.cfm

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Polarization
The phenomenon in which electromagnetic waves, such as light waves, vibrate in a preferred plane or planes; or the process of confining the vibrations to certain planes. In unpolarized light the vibrations are equally distributed in all directions perpendicular to the direction of propagation of the wave. If all the vibrations are confined to one plane, the light is said to be plane-polarized (or linearly polarized). If the light in one plane is out of phase with the light in the plane at right angles to it (i.e. if the peaks and troughs of the waves are not in step), then the light is said to be circularly polarized. If all these phenomena occur together, the light is said to be elliptically polarized. Plane polarization is usually caused by scattering, and circular polarization by strong magnetic fields. Circularly and elliptically polarized light can also be produced by a wave plate . Anisotropies in the CMB are partially polarized . This polarization contains a large amount of extra information about the properties of the universe and its initial conditions.

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Wilkinson Microwave Anisotropy Probe (WMAP)
A NASA probe designed to make a full-sky map of temperature fluctuations in the cosmic background radiation with much higher resolution, sensitivity, and accuracy than NASA's 1992 Cosmic Background Explorer satellite. WMAP detects anisotropy (tiny fluctuations) in the temperature of the cosmic background radiation to provide a detailed picture of the early universe. Its scientific observation point lies about 1.5 million km from the Earth, in order to prevent interference from terrestrial or solar microwave emissions. WMAP was launched on 30 June 2001 for an 18-month mission. In 2002 it completed full sky scans in April and August, and the WMAP team extended its mission for several years.

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Gaussian random field
Gaussian random field is a random spatial pattern. It can be defined by the joint probability density of its values at all space points. As an example, a random field can be the dark and bright patterns of floor tiles or marble or wood patterns. Even though both a piece of marble and a piece of wood both have patterns, the form/shape of these patterns distinguish a piece of wood from a piece of marble. The joint probability density is a function that describes the (statistical) nature of the pattern.
If a random field is Gaussian, there is only one quantity that governs the pattern: the power spectrum. The following is an image from the five year CMB map of the sky detected by WMAP which can be an example of Gaussian random field. The different colors show the temperature fluctuations. The redder an area is, the higher temperature it has.


The NASA website contains a video clip about where the image is obtained.

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Power spectrum
The distribution of the energy of a waveform among its different frequency components.

The power spectrum is one of the properties of a random field. For a Gaussian random field without preferred direction the power spectrum tells you everything there is to now about the average properties of the field. The picture below shows the angular power spectrum of the CMB data. It is a plot of the temperature fluctuation (like the color spots on the CMB image above) against the angular size of the fluctuation. The shape of the power spectrum tells us conditions of the early universe and the cosmological parameters.



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COSMIC BACKGROUND

< The Cosmic Microwave Background
Cosmic Parameters
Changing constants, dark energy and the absorption of 21 cm radiation
Pico: Parameters for the Impatient Cosmologist

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