Statistics – Computation
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phdt........24k&link_type=abstract
PhD Dissertation, Chicago Univ. Chicago, IL United States
Statistics
Computation
1
Background Radiation, Microwaves, Polarization (Waves), Cosmology, Power Spectra, Temperature Gradients, Variability, Computational Astrophysics, Boltzmann Transport Equation, Photon Density, Perturbation, Scalars, Tensors, Stokes Law Of Radiation, Transport Theory
Scientific paper
Polarization of the cosmic microwave background, though not yet detected, provides a source of information about cosmological parameters complementary to temperature fluctuations. This paper provides a complete theoretical treatment of polarization fluctuations. After a discussion of the physics of polarization, the Boltzmann equation governing the evolution of the photon density matrix is derived from first principles and applied to microwave background fluctuations, resulting in a complete set of transport equations for the Stokes parameters from both scalar and tensor metric perturbations. This approach is equivalent at lowest order to classical radiative transfer, and provides a systematic framework for investigating higher-order effects. Expressions for the power spectra for various correlations between polarization components are derived. Experimental considerations and detection prospects for polarization are briefly discussed.
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