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An introduction to the cosmic microwave background W. Hu
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the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

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Page 1: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

An introduction to

the cosmic microwavebackgroundW. Hu

Page 2: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

"Big Bang" • Universe Began Hot and Dense• Expands and Cools

"Gravitational Instability"

• Galaxies ("Structure") from the self-attraction of primordial fluctuations

Cosmological Background

gravityW. Hu

Page 3: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Cosmological Expansion

Recession Velocity

Expansion Redshift

W. Hu

Page 4: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Thermal History

Page 5: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

CMB Properties

• 3 degrees above absolute zero (-270˚C)

• mm-cm wavelength (1-10% microwave oven)

• 400 photons/cm (10 trillion photons/sec/cm )3

• Few percent of TV "snow"

2

W. Hu

Page 6: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Large–Angle Anisotropies

Actual Temperature DataReally Isotropic!

W. Hu

Page 7: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Large–Angle Anisotropies

dipole anisotropy1 part in 1000

W. Hu

Page 8: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Large–Angle Anisotropies

10º–90º anisotropy1 part in 100000

W. Hu

Page 9: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Anisotropies: A Time Machine

•Reversing time:

Page 10: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

A Brief Thermal History•CMB photons hotter at high redhift z

•At z~1000, T~3000K: photons ionize hydrogen

Page 11: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Very Brief History

Nucleo-Synthesis

LastScattering

GalaxyFormation

3 min 3x105yrs 5x109yrs

pnHe

e

CMBg

W. Hu

Page 12: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Gravitational Instability

Page 13: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Gravitational Instability"Wrinkles" or Hills & Valleys

Accumulation in Valleys

W. Hu

Page 14: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Cosmological Simulations

U. Washington Cosmology Group

Wayne Hu
Page 15: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

Qua

ntum

Flu

ctua

tions

W. Hu

Page 16: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

Inflation

<10-35s

Exp

onen

tial

Stre

tch

Rap

idE

xpan

sion

W. Hu

Page 17: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

Inflation

<10-35s

Gra

vita

tion

al In

stab

ility

Exp

onen

tial

Stre

tch

Rap

idE

xpan

sion

W. Hu

Page 18: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

PresentInflation

<10-35s 1010yrs

Gra

vita

tion

al In

stab

ility

Exp

onen

tial

Stre

tch

Lar

ge S

cale

Str

uct

ure

Gal

axie

sTime

Rap

idE

xpan

sion

W. Hu

Page 19: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

PresentInflation

<10-35s 1010yrs

Gra

vita

tion

al In

stab

ility

Exp

onen

tial

Stre

tch

Lar

ge S

cale

Str

uct

ure

Gal

axie

s

Rap

idE

xpan

sion

Horizon

HorizonCrossingW. Hu

Page 20: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Inflation to Structure Formation

PresentInflation

<10-35s 1010yrs

Gra

vita

tion

al In

stab

ility

Exp

onen

tial

Stre

tch

Lar

ge S

cale

Str

uct

ure

Gal

axie

s

Rap

idE

xpan

sion

Horizon

HorizonCrossing

CMBObserver

LastScattering

3x105yrs

W. Hu

Page 21: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Temperature Maps

Page 22: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Large–Angle Anisotropies

10º–90º anisotropyseeing beyond the horizon

W. Hu

Page 23: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Understanding Maps

COBE's fuzzy vision

W. Hu

Page 24: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Understanding Maps

COBE's fuzzy vision

W. Hu

Page 25: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Understanding Maps

COBE's imperfect reception

W. Hu

Page 26: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Understanding Maps

Our best guess for the original map

W. Hu

Page 27: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Small–Angle Anisotropies

<1º anisotropyseeing inside the horizon

?

W. Hu

Page 28: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

New DASI Data

–100µK 100µK

3.5°

Page 29: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

MAP Satellite has Launched!

Page 30: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

What MAP Should See

Simulated Data

http://map.gsfc.nasa.gov

Page 31: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Ringing in the New Cosmology

Page 32: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Projected MAP Errors

10 100

110

20

40

60

80

100

l (multipole)

θ (degrees)

∆T (µ

K)

W. Hu – Feb. 1998

Page 33: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Thermal History II

Page 34: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Small–Angle Anisotropies

Horizon

HorizonCrossingW. Hu

Page 35: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Small–Angle Anisotropies

Horizon

LastScattering

Present

3x105yrs 1010yrs

W. Hu

Page 36: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Small–Angle Anisotropies

CMBObserver

Horizon

LastScattering

Present

3x105yrs 1010yrs

W. Hu

Page 37: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

A Brief Thermal History•Rapid scattering couples photons and baryons •Plasma behaves as perfect fluid

Page 38: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Acoustic Oscillations

Page 39: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Gravitational Ringing•Potential wells = inflationary seeds of structure

•Fluid falls into wells, pressure resists: acoustic oscillations

Page 40: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Seeing Sound•Oscillations frozen at recombination

•Compression=hot spots, Rarefaction=cold spots

Page 41: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Harmonic Modes•Frequency proportional to wavenumber: ω=kcs

•Twice the wavenumber = twice the frequency of oscillation

Page 42: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Angular Peaks

Page 43: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Why Anisotropies?• Spatial temperature perturbation oscillating

in time and frozen in at recombination

OscillationsSpatial Inhom.

Chicago

Page 44: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Peaks in Angular Power•Standing wave acoustic oscillations in local temperature

Page 45: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Peaks in Angular Power•Oscillations frozen in at recombination

•Prompt release of photons

Page 46: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Peaks in Angular Power•Photons ariving at observer show an anisotropy whose angular scale decreases with time

•Temperature inhomogeneity → anisotropy

Page 47: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Peaks in Angular Power•The Anisotropy Formation Process

Page 48: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Acoustic Landscape

Page 49: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

The First Peak

Page 50: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Curvature and Fate of Universe

Flat

Curved

Negative Curvature: Expand ForeverPositive Curvature: Big Crunch

W. Hu

Page 51: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Curvature in the Power Spectrum•Features scale with angular diameter distance

•Angular location of the first peak

Page 52: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

The Second Peak

Page 53: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Baryon & Inertia•Baryons add inertia to the fluid

•Equivalent to adding mass on a spring

•Same initial conditions

•Same null in fluctuations

•Unequal amplitudes of extrema

Page 54: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Baryons in the Power Spectrum

Page 55: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Second Peak Detected

Page 56: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Score Card

Page 57: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Higher Peaks

Page 58: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Radiation and Dark Matter•Radiation domination: potential wells created by CMB itself

•Pressure support ⇒ potential decay ⇒ driving

•Heights measures when dark matter dominates

Page 59: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Dark Matter in the Power Spectrum

Page 60: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Third Peak Constrained

Page 61: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Microwave Background Past

Validation of

• Big Bang (Hot, Expanding Univ.)

Thermal SpectrumTemp. at early times

• Gravitational Instability (wrinkles galaxies)

Amplitude and Spectrum ofAnisotropies

W. Hu

Page 62: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Microwave Background Present

How Microwaves Ring

• Origin and Evolution of Structure (galaxies...)

Music of Inflation?

• Global Properties of the UniverseCurvature, Content (dark energy, dark matterbaryons)

W. Hu

Page 63: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Microwave Background Future

How Inflation Works

• Particle physics of the Early Universe Polarization

Understanding the Dark Side

• Evolution of Structure and Dark Matterand Dark Energy

Secondary Anisotropies

W. Hu

Page 64: the cosmic microwave backgroundbackground.uchicago.edu/~whu/Presentations/introduction.pdfAn introduction to the cosmic microwave ... A Time Machine • Reversing time: ... Microwave

Index

Outtakeshttp://background.uchicago.edu

•Properties

•Thermal History

•Gravitational Instability

•Temperature Maps

•Acoustic Oscillations

•Peaks

•First Peak

•Second Peak