Analytic inversion of emission lines of arbitrary optical depth for the structure of supernova ejecta

Citation
R. Ignace et Ma. Hendry, Analytic inversion of emission lines of arbitrary optical depth for the structure of supernova ejecta, ASTROPHYS J, 537(2), 2000, pp. L131-L134
Citations number
15
Categorie Soggetti
Space Sciences
Journal title
ASTROPHYSICAL JOURNAL
ISSN journal
0004637X → ACNP
Volume
537
Issue
2
Year of publication
2000
Part
2
Pages
L131 - L134
Database
ISI
SICI code
0004-637X(20000710)537:2<L131:AIOELO>2.0.ZU;2-F
Abstract
We derive a method for inverting emission-line profiles formed in supernova ejecta. The derivation assumes spherical symmetry and homologous expansion [i.e., nu(r) proportional to r], is analytic, and even takes account of oc cultation by a pseudophotosphere. Previous inversion methods have been deve loped that are restricted to optically thin lines, but the particular case of homologous expansion permits an analytic result for lines of arbitrary o ptical depth. In fact, we show that the quantity that is generically retrie ved is the run of line intensity I-lambda with radius in the ejecta. This r esult is quite general and so could be applied to resonance lines, recombin ation lines, etc. As a specific example, we show how to derive the run of ( Sobolev) optical depth tau(lambda) with radius in the case of a pure resona nce scattering emission line.