Finite atmospheres with isotropic scattering. II. Increase of line strength to the limb
Abstract
The following problem in the theory of the formation of absorption lines is solved by the method developed in Paper I: An atmosphere of finite thickness lies above a photosphere of infinite extent, both being stratified in plane parallel layers. The absorption lines are formed by coherent isotropic scattering in the atmosphere, and there is continuous emission according to a linear Planck function throughout both pbotosphere and atmosphere. It is required to find the emergent intensity at any point of the line profile. Subject to certain assumptions, the exact solution is found in terms of the X and Yfunctions and their moments. Some numerical results are obtained and a theory is put forward to account for the variations in the intensities of faint and strong lines across the solar disk.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 1956
 DOI:
 10.1093/mnras/116.3.304
 Bibcode:
 1956MNRAS.116..304B