Small Angular Scale Simulations of the Microwave Sky | Zendy

D. Sáez | Zendy; E. Holtmann | Zendy; G. F. Smoot | Zendy

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Small Angular Scale Simulations of the Microwave Sky

Author(s) -

D. Sáez,

E. Holtmann,

G. F. Smoot

Publication year - 1996

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/178121

Subject(s) - spherical harmonics , fourier transform , cosmic microwave background , angular spectrum method , harmonics , physics , computational physics , microwave , spectral density , sky , fast fourier transform , harmonic , fourier analysis , scale (ratio) , spectral line , spin weighted spherical harmonics , harmonic analysis , plane (geometry) , optics , mathematical analysis , geometry , mathematics , astrophysics , anisotropy , acoustics , algorithm , quantum mechanics , diffraction , statistics , voltage

We describe and compare two types of microwave sky simulations which are goodfor small angular scales. The first type uses expansions in sphericalharmonics, and the second one is based on plane waves and the Fast FourierTransform. The angular power spectrum is extracted from maps corresponding toboth types of simulations, and the resulting spectra are appropriatelycompared. In this way, the features and usefulness of Fourier simulations arepointed out. For $\ell \geq 100$, all the simulations lead to similaraccuracies; however, the CPU cost of Fourier simulations is $\sim 10$ timessmaller than that for spherical harmonic simulations. For $\ell \leq 100$, thesimulations based on spherical harmonics seem to be preferable.Comment: 16 pages (LATEX), 2 postcript figures. Accepted in Ap

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