Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-02-02
Mon.Not.Roy.Astron.Soc. 347 (2004) 902
Astronomy and Astrophysics
Astrophysics
5 pages, 2 figures
Scientific paper
10.1111/j.1365-2966.2004.07255.x
We present a low energy expansion of the Kramers-Heisenberg formula for atomic hydrogen in terms of $(\omega/\omega_l)$, where $\omega_l$ and $\omega$ are the angular frequencies corresponding to the Lyman limit and the incident radiation, respectively. The leading term is proportional to $(\omega/\omega_l)^4$, which admits a well-known classical interpretation. With higher order terms we achieve accuracy with errors less than 4 % of the scattering cross sections in the region $\omega/\omega_l\le 0.6$. In the neighboring region around Ly$\alpha$ ($\omega/\omega_l >0.6$), we also present an explicit expansion of the Kramers-Heisenberg formula in terms of $\Delta\omega\equiv (\omega-\omega_{Ly\alpha})/\omega_{Ly\alpha}$. The accuracy with errors less than 4 % can be attained for $\omega/\omega_l \ge 0.6$ with the expansion up to the fifth order of $\Delta\omega$. We expect that these formulae will be usefully applied to the radiative transfer in high neutral column density regions, including the Gunn-Peterson absorption troughs and Rayleigh scattering in the atmospheres of giants.
Kim Ho-Ilkim
Lee Hee-Won
No associations
LandOfFree
Rayleigh Scattering Cross Section Redward of Ly$α$ by Atomic Hydrogen does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rayleigh Scattering Cross Section Redward of Ly$α$ by Atomic Hydrogen, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rayleigh Scattering Cross Section Redward of Ly$α$ by Atomic Hydrogen will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-626787