Problems in radiation transfer in astrophysics: An escape probability treatment of line overlap and a model of masers around VX Sgr

The escape probability formalism is used in this dissertation to treat two problems in astrophysical radiative transfer. The first problem concerns line overlap, which occurs when two or more spectral lines lie close enough together that there is a significant probability that a photon emitted in one of the lines can be absorbed in another. The second problem involves creating a detailed model of the masers around the supergiant star, VX Sgr. The author has developed an escape probability procedure that accounts for the effects of line overlap by integrating the amount of absorption in each of the overlapping lines. This method was used to test the accuracy of a simpler escape probability formalism developed by Elitzur and Netzer that utilized rectangular line profiles. Good agreement between the two methods was found for a wide range of physical conditions. The more accurate method was also used to examine the effects of line overlap of the far infrared lines of the OH molecule. This overlap did have important effects on the level populations and could cause maser emission. He has also developed a detailed model of the OH 1612 and water masers around VX Sgr. He found that the masers can be adequately explained using reasonable estimates for the physical parameters. He also was able to provide a tighter constraint on the highly uncertain mass loss rate from the star. He had less success modeling the SiO masers. His explanation will require a more exact method of treating the many levels involved and also a more accurate knowledge of the relevant physical input parameters