Chandrasekhar's H-function revisited

Dmitrij I. Nagirner, Vsevolod V. Ivanov

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The Chandrasekhar H-function plays an important role in a wide class of problems of analytical radiative transfer theory. The H-function is the solution of well-known integral equations, both non-linear and linear. The physics of a particular problem under consideration determines the form of the so-called characteristic and dispersion functions, Ψ(μ) and T(μ), respectively. They appear in H-equations and determine their solutions. We show that Ψ(μ) and T(μ) can be restructured in such a way that the solutions of H-equations transforms from H(μ) to Hn(μ),n=2,3,4,… provided Ψ(μ) and T(μ) are replaced with Ψn(μ) and Tn(μ). The structure of the non-linear and linear H-equations does not change under this transformation. The basis of this restructuring is a recursion relation that gives Ψn(μ) and Tn(μ) in terms of Ψ(μ) and T(μ).

Original languageEnglish
Article number106914
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
StatePublished - May 2020

Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy


  • Analytical theory
  • Multiple scattering
  • Radiative transfer


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