title: Spatial resolution of the volume emission coefficient in strongly self-absorbing sources of cylindrical symmetry.
abstract: It is shown that the equations relating the radial profiles of the volume emission and absorption coefficients to the transmission and emitted intensity profiles in self-absorbing cylindrically symmetric sources, can be written in such a way that the problem of spatially resolving the volume emission coefficient gives rise to a Volterra integral equation of the second kind in a standard form. The theory of equations of this type is invoked to show the formal convergence of an iterative solution to the problem, subject only to a finite transmission and bounded slope to the absorption coefficient. A prescription for applying this iterative procedure is given that involves a series of numerical integrations and Abel inversions, and the convergence of some numerical solutions is demonstrated.
authors.affiliation: Aerospace Research Laboratories,Wright-Patterson Air Force Base, Ohio 45433, USA.
authors.forename: J W
authors.initials: JW
authors.lastname: Birkeland
authors.forename: J P
authors.initials: JP
authors.lastname: Oss