Astro 448

Description

This course will have a heavy emphasis on the** theory** of cosmic
microwave background anisotropies.

Its goal is to provide the student with a sufficient knowledge of their
calculation in the standard cosmological model that they will be able to
make custom modifications to the calculations with the help of CMBfast.

I will be using Scott Dodelson's book as a reference source. Copies
can be printed from this pdf and additional
ones will be made available to registered students.

Requirements

Requirements for this course are the 300 level cosmology series in the Astronomy and Astrophysics department (or suitable graduate level introduction to cosmology).

There will be approximately 1 problem per lecture as homework with perhaps a longer final problem set or optional oral presentation (to be decided).

Meeting

M: 1:30-3:00

W: 1:30-3:00

**I will be away Jan 8 and Jan 10. ** I will try to reschedule
these lectures to accomodate everyone's schedules.

Syllabus

The syllabus is divided into pairs of lectures labelled weeks.
The actual correspondence to given days will vary and topics in the 9th
and 10th weeks may fall off the edge of the course.

- Overview/Goals of the Course
- A General Intro to CMB Anisotropies (laptop style presentation)

- FRW metric
- Comoving/conformal coordinates
- Friedman equations
- Horizon
- Distance measures

- Nucleosynthesis and the Prediction of the CMB
- Thermalization and the establishment of a blackbody
- Matter Radiation Equality
- Recombination
- Compton drag and Thermal Decoupling
- Reionization

- The perturbed Einstein equation
- Scalar, vector, tensor decomposition.
- Covariant scalar einstein equations
- Scalar gauge freedom

- Useful scalar gauges and their interpretation
- Tensor Einstein equations

- Problems of the "standard" model
- Scalar field equation
- Slow roll and its parameters
- Scalar and tensor amplitudes
- Gravity wave - tilt and consistency relation.

- Sachs-Wolfe effect
- Tight coupling approximation
- Temperature oscillations
- Velocity oscillations
- Baryon effects

- Driving effects: Matter/Radiation, defects...
- Damping effects: Radiative viscosity and heat conduction

- Mode Decomposition
- Spherical Harmonics
- Spin Spherical Harmonics
- Free streaming and the Liouville equation

- Thomson differential cross section
- Chandra's scattering matrix
- The hierarchy equations

- Coupling of angular momenta
- Scalar projection
- Tensor projection
- Mechanics of CMBFast

- Quadrupole sources
- E and B revisited
- Scalar / Acoustic contributions
- Reionization
- Tensors and B

- Fisher matrix
- Forecasts
- Band Powers
- Data analysis issues

- COBE Normalization
- Growth Rates
- Transfer function
- Non-linear regime

- Gravitational Effects
- Scattering Effects
- Slowly varying sources
- Weak Coupling and Limber Approximation

- Gravitational Redshifts: ISW and RS Effects
- Gravitational Lensing

- Optical Depth Suppression
- Doppler Effect and Cancellation
- Modulated Doppler Effects, Vishniac, Kinetic SZ, Patchy Reionization

- The Kompaneets equation
- SZ effect
- Clusters
- Effect on Power Spectrum
- Foreground separation

- The Bispectrum
- The Trispectrum
- Gravitational Lensing Example

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