Asymmetric Beams in Cosmic Microwave Background Anisotropy Experiments

Abstract

We propose a new formalism to handle asymmetric beams in the data analysis of cosmic microwave background anisotropy experiments. For any beam shape, the formalism finds the optimal circularly symmetric equivalent and is thus easily adaptable to existing data analysis methods. We demonstrate certain key points by using a simulated highly elliptic beam, and the beams and data of the MAXIMA-1 experiment, where the asymmetry is mild. In particular, we show that in both cases the formalism does not bias the angular power spectrum estimates. We analyze the limitations of the formalism and find that it is well suited for most practical situations.

41 pages, 13 figures; ApJS in press

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• Measurements of the E-Mode Polarization and Temperature-E-Mode Correlation of the CMB from SPT-3G 2018 Data
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• Estimate of the Cosmological Bispectrum from the MAXIMA-1 Cosmic Microwave Background Map
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• MAXIPOL: Data Analysis and Results
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• Elliptical Beams in CMB Temperature and Polarization Anisotropy Experiments: An Analytic Approach
• Window Function for Non-Circular Beam CMB Anisotropy Experiment
• Frequentist Estimation of Cosmological Parameters from the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• CMB power spectrum estimation using noncircular beams
• Harmonic analysis of cosmic microwave background data II: from ring-sets to the sky
• MAXIMA: A Balloon-Borne Cosmic Microwave Background Anisotropy Experiment
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• Determining Foreground Contamination in CMB Observations: Diffuse Galactic Emission in the MAXIMA-I Field
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