EDP Sciences
Free access
Volume 507, Number 3, December I 2009
Page(s) 1785 - 1791
Section Numerical methods and codes
DOI http://dx.doi.org/10.1051/0004-6361/200912800
Published online 24 September 2009
A&A 507, 1785-1791 (2009)
DOI: 10.1051/0004-6361/200912800

Application of the coupled escape probability method to spherical clouds

Y. J. Yun, Y.-S. Park, and S. H. Lee

Department of Physics and Astronomy, Seoul National University, Korea
    e-mail: yyzoo@astro.snu.ac.kr

Received 30 June 2009 / Accepted 21 August 2009

Aims. We present applications of one of the novel radiative transfer methods, called the coupled escape probability method, to spherical clouds. It provides efficient tools for analyzing molecular lines, but its implementation is limited to plane-parallel systems. For more general uses, we extend its capability to spherical systems.
Methods. The spherical geometry means that the derivation of mean intensity has to be conducted numerically, whereas it was done more analytically in the original work. The new method was applied to spherical clouds and cores with various conditions, and systems with moderate systematic motion are tested in addition to static systems. The case of molecular transitions with hyperfine overlap is also investigated.
Results. While this method is more complicated than the original method, it maintains the underlying simplicity and practicality. The excitation conditions derived for the various conditions are compared with those of the Monte Carlo methods, and the results are found to be in good agreement with each other. The new method is more efficient in computing time and number of iterations.

Key words: line: formation -- radiative transfer -- methods: numerical -- ISM: molecules

© ESO 2009