Derivation of an Analytical Approximation of the Spectrum of Spinning Dust Emission

Abstract

An analytical function for the spectrum of spinning dust emission is presented. It is derived through the application of careful approximations, with each step tested against numerical calculations. This approach ensures accuracy while providing an intuitive picture of the physics. The final result may be useful for fitting of anomalous microwave emission observations, as is demonstrated by a comparison with the Planck observations of the Perseus Molecular Cloud. It is hoped that this will lead to a broader consideration of the spinning dust model when interpreting microwave continuum observations, and that it will provide a standard framework for interpreting and comparing the variety of anomalous microwave emission observations.

18 pages, 10 figures, 3 tables. Accepted for publication in the Astrophysical Journal

References in corpus (5)

• Infrared Emission from Interstellar Dust. IV. The Silicate-Graphite-PAH Model in the Post-Spitzer Era
• A refined model for spinning dust radiation
• WMAP 3yr data with the CCA: anomalous emission and impact of component separation on the CMB power spectrum
• CBI limits on 31 GHz excess emission in southern HII regions
• Microwave emission from spinning dust in circumstellar disks

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