Small Angular Scale Simulations of the Microwave Sky

Details Small Angular Scale Simulations of the Microwave Sky Small Angular Scale Simulations of the Microwave Sky

1996-06-26

arxiv.org/abs/astro-ph/9606164v1

Astrophys.J.473:1-6,1996

Astronomy and Astrophysics

Astrophysics

16 pages (LATEX), 2 postcript figures. Accepted in ApJ

Scientific paper

10.1086/178121

We describe and compare two types of microwave sky simulations which are good for small angular scales. The first type uses expansions in spherical harmonics, and the second one is based on plane waves and the Fast Fourier Transform. The angular power spectrum is extracted from maps corresponding to both types of simulations, and the resulting spectra are appropriately compared. In this way, the features and usefulness of Fourier simulations are pointed out. For $\ell \geq 100$, all the simulations lead to similar accuracies; however, the CPU cost of Fourier simulations is $\sim 10$ times smaller than that for spherical harmonic simulations. For $\ell \leq 100$, the simulations based on spherical harmonics seem to be preferable.

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