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CMB Anisotropy thru WMAP III. Ned Wright, UCLA. True Contrast CMB Sky. 33, 41 & 94 GHz as RGB, 0-4 K scale. Enhanced Contrast:. Conklin 1969 - 2 Henry 1971 - 3 Corey & Wilkinson 1976 - 4 Smoot et al. 1977 - 6. A Big Media Splash in 1992:. 25 April 1992.
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CMB Anisotropy thru WMAP III Ned Wright, UCLA
True Contrast CMB Sky 33, 41 & 94 GHz as RGB, 0-4 K scale
Enhanced Contrast: • Conklin 1969 - 2 • Henry 1971 - 3 • Corey & Wilkinson 1976 - 4 • Smoot et al. 1977 - 6
A Big Media Splash in 1992: 25 April 1992 Prof. Stephen Hawking of Cambridge University, not usually noted for overstatement, said: “It is the discovery of the century, if not of all time.”
Animated View of Inflation • Quantum fluctuations occur uniformly throughout space-time • Future light cones have radii of (c/H)[exp(Ht)-1]
COBE DMR vs EPAS “Chi-by-eye” suggests that the “Equal Power on All Scales” prediction of inflation is correct.
Sachs-Wolfe Effect: Gravitational potential = 3c2T/T Leads to Large-Scale Structure
Prediction of Acoustic Peaks in CDM Bond & Efstathiou, 1987, MNRAS, 226, 655-687
Two Fluids in the Early Universe • Most of the mass is dark matter • 80-90% of the density • Zero pressure • Sound speed is zero • The baryon-photon fluid • baryons are protons & neutrons = all ordinary matter • energy density of the photons is bigger than c2 times the density of baryons • Pressure of photons = u/3 = (1/3) c2 • Sound speed is about c/3 = 170,000 km/sec
Interference at last scattering • For the wavelength illustrated [1/2 period between the Big Bang and recombination], the denser = hotter effect and potential well = cooler effect have gotten in phase. • For larger wavelengths they are out of phase at recombination:
Many parameters to measure Careful measurements of the power at various angular scales can determine the Hubble constant, the matter density, the baryon density, and the vacuum density.
Pre-WMAP Power Spectrum Flat, n=1; b = 0.021, c = 0.196, Ho = 47; b = 0.022, c = 0.132, Ho = 68, = 2/3
Calibration Uncertainties • Each experiment (except for COBE and later WMAP) has amplitude uncertainty of several percent that is correlated across all the data from that experiment. • I have done fits and plots that solve separately for calibration adjustment “nuisance parameters” which are included in the 2 but not in the errorbars. • Combining data from many experiments gives a “flexible” observed spectrum due to these calibration errors.
The WMAP RF plumbing is very complexwith 10 horns per side, 20 DA’s, 40 amplifier chains.
Huge Amount of Data • 5 bands. • 23, 33, 41, 61 & 94 GHz. • 2, 2, 4, 4 & 8 temperature differences per band. Two detectors for each differential T. • 128, 128, 102.4, 76.8 & 51.2 ms/sample. • 279 temperature differences per second. • 53 billion samples in 3 years. • About 2108 samples per low l polarization. • Systematic error control is critical!
Temperature Stability • 7% p-p yearly insolation modulation from eccentricity of Earth’s orbit • Slow change in thermal properties: 3%/yr in albedo or emissivity. Pioneer anomaly could be explained by 3% emissivity anisotropy.
Scan Strategy Not to scale: Earth — L2 distance is 1% of Sun — Earth Distance • 6 Months for full sky coverage 2 minute spin 1 hour precession
Noise Pattern is not Uniform • Stokes I, Q, U & <QU> all have different noise patterns.
Scattering creates Polarization Reionization puts scatterers at A: many degree scale Scatterers during recombination are at B: degree scale
Top view of same S-T Diagram • Electrons at A or B see a somewhat different piece of the surface of last scattering than we do. • If electrons at A or B see a quadrupole anisotropy then we get polarization.
ROM Foreground Fit in P06 Cut • m = -0.6 • EE • Bs = 0.36, s = -3.0 • Bd = 1.0, d = 1.5 • BB: • Bs = 0.30, s = -2.8 • Bd = 0.50, d = 1.5
Final Results EE only: = 0.10 0.03 TT, TE & EE: = 0.09 0.03
Comparison to Previous Best Fit • Now we have = 0.09 0.03 instead of = 0.117 0.055 for the WMAP I best fit. • But quite a bit less than the old WMAP I TE only = 0.17 0.04
Effects on Peak Position: lpk • Open or vacuum dominated Universes give larger distance to last scattering surface • High matter density gives smaller wavelength
CMB alone does not imply flatness • But CMB + Ho (or other data) do imply flatness and a dark energy dominated Universe.
Non-flat Dark Energy Fitting! • k = 0, w = -1 is OK: -0.93 > w > -1.14 With many datasets combined, the equation of state w and the curvature can be measured together.
Late ISW Effect: Another test for Potential only changes if m 1 (or in non-linear collapse, but that’s another story [Rees-Sciama effect]).
CMB-LSS correlation seen by WMAP • This late ISW effect occurs on our past light cone so the T we see is due to structures we also see. • Correlation between WMAP and LSS seen by: • Boughn & Crittenden (astro-ph/0305001) at 2.75 with hard X-ray background and 2.25 with NVSS • Nolta et al. (astro-ph/0305097) at 2 with NVSS • Afshordi et al (astro-ph/0308260) at 2.5 with 2MASS