Secondary CMB Anisotropy I: Reionization - Wayne Hu's Tutorials

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Polarization Multipoles • Mathematically pattern is described by the tensor (spin-2) spherical harmonics [eigenfunctions of Laplacian on trace-free 2 tensor] • Correspondence with scalar spherical harmonics established via Clebsch-Gordan coefficients (spin x orbital) • Amplitude of the coefficients in the spherical harmonic expansion are the multipole moments; averaged square is the power E-tensor harmonic l=2, m=0
Modulation by Plane Wave • Amplitude modulated by plane wave → higher multipole moments • Direction detemined by perturbation type → E-modes Scalars π/2 Polarization Pattern Multipole Power 1.0 0.5 B/E=0 φ l
Page 1 and 2: Secondary CMB Anisotropy I: Reioniz
Page 3 and 4: Outline Cabo Lectures (not all incl
Page 5 and 6: Physics of Secondary Anisotropies S
Page 7 and 8: ∆T (µK) 100 10 1 0.1 Gravitation
Page 9 and 10: Across the Horizon Hu & White (2004
Page 11 and 12: Why Are Secondaries So Smalll? •
Page 13 and 14: Integral Solution • Projection ke
Page 15 and 16: Reionization Suppression • Rescat
Page 17 and 18: Doppler Effect
Page 19 and 20: (2l+1)j l (100) Doppler Effect in L
Page 21 and 22: Reionization Surface Modulated Dopp
Page 23 and 24: Inhomogeneous Ionization • As rei
Page 25 and 26: Patchy Reionization Aghanim et al (
Page 27 and 28: WMAP Correlation • Reionization p
Page 29 and 30: Polarization from Thomson Scatterin
Page 31 and 32: Whence Quadrupoles? • Temperature
Page 33: Whence Polarization Anisotropy? •
Page 37 and 38: l(l+1)/2π Cl (µK 2 ) WMAP 3yr Dat
Page 39 and 40: Locally Transparent • Presently,
Page 41 and 42: Polarization Anisotropy • Electro
Page 43 and 44: Instantaneous Reionization • WMAP
Page 45 and 46: Distance Predicts Growth • With s
Page 47 and 48: Distinguishable History • Same op
Page 49 and 50: Principal Components • Eigenvecto
Page 51 and 52: Representation in Modes • Truncat
Page 53 and 54: Total Optical Depth • Optical dep
Page 55 and 56: Model-Independent Reionization •
Page 57 and 58: Large Angle Anomalies • Low plana
Page 59 and 60: Polarization Bumps • If features

Secondary CMB Anisotropy I: Reionization - Wayne Hu's Tutorials

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