Statistics – Computation
Scientific paper
Aug 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phdt........16s&link_type=abstract
Proquest Dissertations And Theses 2007. Section 0330, Part 0606 173 pages; [Ph.D. dissertation].United States -- Illinois: The
Statistics
Computation
2
Cosmic Microwave Background, Cmb Polarization
Scientific paper
A major frontier for cosmology in the coming decade will be making precision measurements of the cosmic microwave background (CMB) polarization, complementing existing measurements of the CMB temperature anisotropies. The E- mode, or gradient-like component, of CMB polarization will break parameter degeneracies from CMB temperature alone and improve constraints on reionization history and initial conditions in the standard cosmological model. The B-mode, or curl-like component will permit strong constraints on growth of structure from CMB lensing, and probe new physics by measuring the gravity wave content of the early universe.
In the first half of this thesis, we describe design and implementation of the analysis pipeline for the 2005 observing season of CAPMAP, an experiment to measure CMB polarization on small angular scales using coherent polarimeters and the Lucent 7 meter telescope in Crawford Hill, New Jersey. Although the results of the analysis are not completely finalized, we present partial results obtained from the data, and full results for a full-season simulation, in order to illustrate the measurement that will be obtained.
The CAPMAP analysis pipeline uses a likelihood formalism which is computationally expensive, but results in measurement uncertainties which are provably optimal. An optimal analysis will be computationally infeasible for upcoming generations of CMB polarization experiments, in which the problem size will be larger by several orders of magnitude. Therefore, fast approximate methods have been proposed. In the second half of this thesis, we show that in their originally proposed form, these methods fail to preserve the E- B decomposition, and this failure ultimately acts as a limiting source of noise when measuring B-modes, and propose modifications which solve this problem.
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