skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Full-Sky Beam Convolution for Cosmic Microwave Background Applications

Abstract

We introduce a publicly available full-sky beam convolution code library intended to inform the design of future cosmic microwave background (CMB) instruments and help current experiments probe potential systematic effects. The code can be used to assess the impact of optical systematics on all stages of data reduction for a realistic experiment, including analyses beyond power spectrum estimation, by generating signal timelines that may serve as input to full analysis pipelines. The design and mathematical framework of the Python code is discussed along with a few simple benchmarking results. We present a simple two-lens refracting telescope design and use it together with the code to simulate a year-long dataset for 400 detectors scanning the sky on a satellite instrument. The simulation results identify a number of sub-leading optical non-idealities and demonstrate significant B-mode residuals caused by extended sidelobes that are sensitive to polarized radiation from the Galaxy. For the proposed design and satellite scanning strategy, we show that a full physical optics beam model generates B-mode systematics that differ significantly from the simpler elliptical Gaussian model. The code is available at https://github.com/adrijd/beamconv

Authors:
 [1];  [1]; ORCiD logo [2]
  1. Stockholm U., OKC
  2. Chicago U., KICP
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1571816
Report Number(s):
arXiv:1809.05034; FERMILAB-PUB-18-783-AE
oai:inspirehep.net:1693847
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Journal Name:
Mon.Not.Roy.Astron.Soc.
Additional Journal Information:
Journal Volume: 486; Journal Issue: 4
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY

Citation Formats

Duivenvoorden, Adriaan J., Gudmundsson, Jon E., and Rahlin, Alexandra S. Full-Sky Beam Convolution for Cosmic Microwave Background Applications. United States: N. p., 2019. Web. doi:10.1093/mnras/stz1143.
Duivenvoorden, Adriaan J., Gudmundsson, Jon E., & Rahlin, Alexandra S. Full-Sky Beam Convolution for Cosmic Microwave Background Applications. United States. doi:10.1093/mnras/stz1143.
Duivenvoorden, Adriaan J., Gudmundsson, Jon E., and Rahlin, Alexandra S. Thu . "Full-Sky Beam Convolution for Cosmic Microwave Background Applications". United States. doi:10.1093/mnras/stz1143. https://www.osti.gov/servlets/purl/1571816.
@article{osti_1571816,
title = {Full-Sky Beam Convolution for Cosmic Microwave Background Applications},
author = {Duivenvoorden, Adriaan J. and Gudmundsson, Jon E. and Rahlin, Alexandra S.},
abstractNote = {We introduce a publicly available full-sky beam convolution code library intended to inform the design of future cosmic microwave background (CMB) instruments and help current experiments probe potential systematic effects. The code can be used to assess the impact of optical systematics on all stages of data reduction for a realistic experiment, including analyses beyond power spectrum estimation, by generating signal timelines that may serve as input to full analysis pipelines. The design and mathematical framework of the Python code is discussed along with a few simple benchmarking results. We present a simple two-lens refracting telescope design and use it together with the code to simulate a year-long dataset for 400 detectors scanning the sky on a satellite instrument. The simulation results identify a number of sub-leading optical non-idealities and demonstrate significant B-mode residuals caused by extended sidelobes that are sensitive to polarized radiation from the Galaxy. For the proposed design and satellite scanning strategy, we show that a full physical optics beam model generates B-mode systematics that differ significantly from the simpler elliptical Gaussian model. The code is available at https://github.com/adrijd/beamconv},
doi = {10.1093/mnras/stz1143},
journal = {Mon.Not.Roy.Astron.Soc.},
number = 4,
volume = 486,
place = {United States},
year = {2019},
month = {7}
}

Works referenced in this record:

Neutrino physics from the cosmic microwave background and large scale structure
journal, March 2015


Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix
journal, January 1994

  • Anderson, Donald G. M.; Barakat, Richard
  • Journal of the Optical Society of America A, Vol. 11, Issue 8
  • DOI: 10.1364/JOSAA.11.002305

PReBeaM FOR PLANCK: A POLARIZED REGULARIZED BEAM DECONVOLUTION MAP-MAKING METHOD
journal, March 2009

  • Armitage-Caplan, Charmaine; Wandelt, Benjamin D.
  • The Astrophysical Journal Supplement Series, Vol. 181, Issue 2
  • DOI: 10.1088/0067-0049/181/2/533

Bicep2. III. INSTRUMENTAL SYSTEMATICS
journal, November 2015


BICEP2/KECK ARRAY V: MEASUREMENTS OF B -MODE POLARIZATION AT DEGREE ANGULAR SCALES AND 150 GHz BY THE KECK ARRAY
journal, September 2015


Impact of modulation on CMB B -mode polarization experiments
journal, August 2009

  • Brown, Michael L.; Challinor, Anthony; North, Chris E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 397, Issue 2
  • DOI: 10.1111/j.1365-2966.2009.14975.x

Modeling dielectric half-wave plates for cosmic microwave background polarimetry using a Mueller matrix formalism
journal, January 2010

  • Bryan, Sean A.; Montroy, Thomas E.; Ruhl, John E.
  • Applied Optics, Vol. 49, Issue 32
  • DOI: 10.1364/AO.49.006313

Measuring Reionization, Neutrino Mass, and Cosmic Inflation with BFORE
journal, July 2018

  • Bryan, Sean; Ade, Peter; Bond, J. Richard
  • Journal of Low Temperature Physics, Vol. 193, Issue 5-6
  • DOI: 10.1007/s10909-018-2031-z

Optimal strategy for polarization modulation in the LSPE-SWIPE experiment
journal, January 2018


All-sky convolution for polarimetry experiments
journal, November 2000


Fast estimation of polarization power spectra using correlation functions
journal, May 2004


Pushing the Limits of Broadband and High-Frequency Metamaterial Silicon Antireflection Coatings
journal, May 2018

  • Coughlin, K. P.; McMahon, J. J.; Crowley, K. T.
  • Journal of Low Temperature Physics, Vol. 193, Issue 5-6
  • DOI: 10.1007/s10909-018-1955-7

Large-aperture wide-bandwidth antireflection-coated silicon lenses for millimeter wavelengths
journal, January 2013

  • Datta, R.; Munson, C. D.; Niemack, M. D.
  • Applied Optics, Vol. 52, Issue 36
  • DOI: 10.1364/AO.52.008747

16:1 bandwidth two-layer antireflection structure for silicon matched to the 190–310  GHz atmospheric window
journal, January 2018

  • Defrance, Fabien; Jung-Kubiak, Cecile; Sayers, Jack
  • Applied Optics, Vol. 57, Issue 18
  • DOI: 10.1364/AO.57.005196

Exploring cosmic origins with CORE: Survey requirements and mission design
journal, April 2018

  • Delabrouille, J.; de Bernardis, P.; Bouchet, F. R.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
  • DOI: 10.1088/1475-7516/2018/04/014

Scanning strategy for mapping the Cosmic Microwave Background anisotropies with Planck
journal, January 2005


Compressed convolution
journal, January 2014


Joint Bayesian Component Separation and CMB Power Spectrum Estimation
journal, March 2008

  • Eriksen, H. K.; Jewell, J. B.; Dickinson, C.
  • The Astrophysical Journal, Vol. 676, Issue 1
  • DOI: 10.1086/525277

Systematic effects from an ambient-temperature, continuously rotating half-wave plate
journal, September 2016

  • Essinger-Hileman, T.; Kusaka, A.; Appel, J. W.
  • Review of Scientific Instruments, Vol. 87, Issue 9
  • DOI: 10.1063/1.4962023

Elliptical beams in CMB temperature and polarization anisotropy experiments: An analytic approach
journal, February 2002


Optical design of the Atacama Cosmology Telescope and the Millimeter Bolometric Array Camera
journal, January 2007

  • Fowler, J. W.; Niemack, M. D.; Dicker, S. R.
  • Applied Optics, Vol. 46, Issue 17
  • DOI: 10.1364/AO.46.003444

HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

  • Gorski, K. M.; Hivon, E.; Banday, A. J.
  • The Astrophysical Journal, Vol. 622, Issue 2
  • DOI: 10.1086/427976

Polarization of the atmosphere as a foreground for cosmic microwave background polarization experiments
journal, December 2003


Asymmetric beams and CMB statistical anisotropy
journal, May 2010


The Atacama Cosmology Telescope (Act): beam Profiles and First sz Cluster maps
journal, December 2010

  • Hincks, A. D.; Acquaviva, V.; Ade, P. A. R.
  • The Astrophysical Journal Supplement Series, Vol. 191, Issue 2
  • DOI: 10.1088/0067-0049/191/2/423

QuickPol: Fast calculation of effective beam matrices for CMB polarization
journal, January 2017


Benchmark parameters for CMB polarization experiments
journal, February 2003


Instrumental and analytic methods for bolometric polarimetry
journal, May 2007


Statistics of cosmic microwave background polarization
journal, June 1997

  • Kamionkowski, Marc; Kosowsky, Arthur; Stebbins, Albert
  • Physical Review D, Vol. 55, Issue 12
  • DOI: 10.1103/PhysRevD.55.7368

ArtDeco: a beam-deconvolution code for absolute cosmic microwave background measurements
journal, November 2012


Circular polarization of the CMB: Foregrounds and detection prospects
journal, July 2016


The definition of cross polarization
journal, January 1973


Spider Optimization: Probing the Systematics of a Large‐Scale B ‐Mode Experiment
journal, December 2008

  • MacTavish, C. J.; Ade, P. A. R.; Battistelli, E. S.
  • The Astrophysical Journal, Vol. 689, Issue 2
  • DOI: 10.1086/592732

LiteBIRD: Mission Overview and Focal Plane Layout
journal, April 2016

  • Matsumura, T.; Akiba, Y.; Arnold, K.
  • Journal of Low Temperature Physics, Vol. 184, Issue 3-4
  • DOI: 10.1007/s10909-016-1542-8

A Novel Sampling Theorem on the Sphere
journal, December 2011


A Novel Sampling Theorem on the Rotation Group
journal, December 2015

  • McEwen, Jason D.; Buttner, Martin; Leistedt, Boris
  • IEEE Signal Processing Letters, Vol. 22, Issue 12
  • DOI: 10.1109/LSP.2015.2490676

CMB power spectrum estimation using noncircular beams
journal, November 2004


FAST PIXEL SPACE CONVOLUTION FOR COSMIC MICROWAVE BACKGROUND SURVEYS WITH ASYMMETRIC BEAMS AND COMPLEX SCAN STRATEGIES: FEBeCoP
journal, January 2011

  • Mitra, S.; Rocha, G.; Górski, K. M.
  • The Astrophysical Journal Supplement Series, Vol. 193, Issue 1
  • DOI: 10.1088/0067-0049/193/1/5

A New Limit on CMB Circular Polarization from SPIDER
journal, August 2017


Non-iterative methods to estimate the in-flight noise properties of CMB detectors
journal, March 2002


Designs for a large-aperture telescope to map the CMB 10× faster
journal, January 2016


Systematic errors in cosmic microwave background polarization measurements
journal, April 2007

  • O'Dea, Daniel; Challinor, Anthony; Johnson, Bradley R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 376, Issue 4
  • DOI: 10.1111/j.1365-2966.2007.11558.x

The Optical Design and Characterization of the Microwave Anisotropy Probe
journal, March 2003

  • Page, L.; Jackson, C.; Barnes, C.
  • The Astrophysical Journal, Vol. 585, Issue 1
  • DOI: 10.1086/346078

Planck 2015 results : VII. High Frequency Instrument data processing: Time-ordered information and beams
journal, September 2016


Planck 2015 results : IX. Diffuse component separation: CMB maps
journal, September 2016


Planck intermediate results : LII. Planet flux densities
journal, November 2017


Algorithm for the Evaluation of Reduced Wigner Matrices
journal, September 2010


Libsharp – spherical harmonic transforms revisited
journal, June 2013


A simulation pipeline for the Planck mission
journal, December 2005


Planck pre-launch status: High Frequency Instrument polarization calibration
journal, September 2010


Achromatic half-wave plate for submillimeter instruments in cosmic microwave background astronomy: modeling and simulation
journal, January 2006

  • Savini, Giorgio; Pisano, Giampaolo; Ade, Peter A. R.
  • Applied Optics, Vol. 45, Issue 35
  • DOI: 10.1364/AO.45.008907

Scattering Matrices and Reciprocity Relationships for Various Representations of the State of Polarization
journal, January 1966


Window Function for Noncircular Beam Cosmic Microwave Background Anisotropy Experiment
journal, October 2001

  • Souradeep, Tarun; Ratra, Bharat
  • The Astrophysical Journal, Vol. 560, Issue 1
  • DOI: 10.1086/322425

The LiteBIRD Satellite Mission: Sub-Kelvin Instrument
journal, May 2018

  • Suzuki, A.; Ade, P. A. R.; Akiba, Y.
  • Journal of Low Temperature Physics, Vol. 193, Issue 5-6
  • DOI: 10.1007/s10909-018-1947-7

Characterization of the Bicep Telescope for High-Precision Cosmic Microwave Background Polarimetry
journal, February 2010


Fast optimal CMB power spectrum estimation with Hamiltonian sampling
journal, September 2008


Optimal scan strategies for future CMB satellite experiments
journal, October 2016

  • Wallis, Christopher G. R.; Brown, Michael L.; Battye, Richard A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 1
  • DOI: 10.1093/mnras/stw2577

Removing beam asymmetry bias in precision CMB temperature and polarization experiments
journal, June 2014

  • Wallis, Christopher G. R.; Brown, Michael L.; Battye, Richard A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 442, Issue 3
  • DOI: 10.1093/mnras/stu856

Fast convolution on the sphere
journal, May 2001


Global, exact cosmic microwave background data analysis using Gibbs sampling
journal, October 2004

  • Wandelt, Benjamin D.; Larson, David L.; Lakshminarayanan, Arun
  • Physical Review D, Vol. 70, Issue 8
  • DOI: 10.1103/PhysRevD.70.083511

THE EFFECT OF ASYMMETRIC BEAMS IN THE WILKINSON MICROWAVE ANISOTROPY PROBE EXPERIMENT
journal, November 2009


Bayesian Noise Estimation for Non-Ideal Cosmic Microwave Background Experiments
journal, February 2012

  • Wehus, I. K.; Næss, S. K.; Eriksen, H. K.
  • The Astrophysical Journal Supplement Series, Vol. 199, Issue 1
  • DOI: 10.1088/0067-0049/199/1/15

SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: PLANETS AND CELESTIAL CALIBRATION SOURCES
journal, January 2011

  • Weiland, J. L.; Odegard, N.; Hill, R. S.
  • The Astrophysical Journal Supplement Series, Vol. 192, Issue 2
  • DOI: 10.1088/0067-0049/192/2/19

Broadband millimeter-wave anti-reflection coatings on silicon using pyramidal sub-wavelength structures
journal, June 2017

  • Young, Karl; Wen, Qi; Hanany, Shaul
  • Journal of Applied Physics, Vol. 121, Issue 21
  • DOI: 10.1063/1.4984892

All-sky analysis of polarization in the microwave background
journal, February 1997