Mapping gravitational lensing of the CMB using local likelihoods

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.043523· OSTI ID:21513091

Anderes, Ethan; Knox, Lloyd; Engelen, Alexander van ^[1]

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1. Statistics Department, University of California, Davis, California 95616 (United States)

We present a new estimation method for mapping the gravitational lensing potential from observed CMB intensity and polarization fields. Our method uses Bayesian techniques to estimate the average curvature of the potential over small local regions. These local curvatures are then used to construct an estimate of a low pass filter of the gravitational potential. By utilizing Bayesian/likelihood methods one can easily overcome problems with missing and/or nonuniform pixels and problems with partial sky observations (E- and B-mode mixing, for example). Moreover, our methods are local in nature, which allow us to easily model spatially varying beams, and are highly parallelizable. We note that our estimates do not rely on the typical Taylor approximation which is used to construct estimates of the gravitational potential by Fourier coupling. We present our methodology with a flat sky simulation under nearly ideal experimental conditions with a noise level of 1 {mu}K-arcmin for the temperature field, {radical}(2) {mu}K-arcmin for the polarization fields, with an instrumental beam full width at half maximum (FWHM) of 0.25 arcmin.

• OSTI ID: 21513091
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.043523; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
APPROXIMATIONS
BACKGROUND RADIATION
BEAMS
COUPLING
FILTERS
GRAVITATIONAL LENSES
MAXIMUM-LIKELIHOOD FIT
NOISE
RELICT RADIATION
SIMULATION
CALCULATION METHODS
ELECTROMAGNETIC RADIATION
LENSES
MATHEMATICAL SOLUTIONS
MICROWAVE RADIATION
NUMERICAL SOLUTION
RADIATIONS