Fabulous code for spherical Fourier-Bessel decomposition
Abstract
The spherical Fourier-Bessel (SFB) decomposition is a natural choice for the radial/angular separation that allows extraction of cosmological information from large volume galaxy surveys, taking into account all wide-angle effects. In this paper we develop a SFB power spectrum estimator that allows the measurement of the largest angular and radial modes with the next generation of galaxy surveys. The code measures the pseudo-SFB power spectrum, and takes into account mask, selection function, pixel window, and shot noise. We show that the local average effect (or integral constraint) is significant only in the largest-scale mode, and we provide an analytical covariance matrix. By imposing boundary conditions at the minimum and maximum radius encompassing the survey volume, the estimator does not suffer from the numerical instabilities that have proven challenging for SFB analyses in the past. The estimator is demonstrated on simplified but realistic Roman-like, SPHEREx-like, and Euclid-like mask and selection functions. For intuition and validation, we also explore the SFB power spectrum in the Limber approximation. We release the associated public code written in julia.
Additional Information
© 2021 American Physical Society. Received 16 February 2021; revised 2 November 2021; accepted 24 November 2021; published 27 December 2021. The authors thank Katarina Markovič, Christopher Hirata, Lado Samushia, Chen Heinrich, and the Nancy Grace Roman Telescope Cosmology with the High Latitude Survey Science Investigation Team (SIT) for discussions and providing selection functions and masks. We also thank the anonymous referees for comments that improved the paper. Part of this work was done at Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. This work was supported by NASA Grant No. 15-WFIRST15-0008 Cosmology with the High Latitude Survey Roman Science Investigation Team (SIT). Henry S. G. Gebhardt's research was supported by an appointment to the NASA Postdoctoral Program at the Jet Propulsion Laboratory, administered by Universities Space Research Association under contract with NASA.Attached Files
Published - PhysRevD.104.123548.pdf
Submitted - 2102.10079.pdf
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Additional details
- Alternative title
- SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
- Eprint ID
- 108802
- Resolver ID
- CaltechAUTHORS:20210422-103123396
- NASA/JPL/Caltech
- 15-WFIRST15-0008
- NASA
- NASA Postdoctoral Program
- Created
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2021-04-23Created from EPrint's datestamp field
- Updated
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2023-03-15Created from EPrint's last_modified field