The spherical harmonics solution for the radiation field in plane-parallel clouds with embedded sources

Details The spherical harmonics solution for the radiation field in plane-parallel clouds with embedded sources The spherical harmonics solution for the radiation field in plane-parallel clouds with embedded sources

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...275..292r&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 275, Dec. 1, 1983, p. 292-306.

Astronomy and Astrophysics

Astrophysics

15

Emission Spectra, Interstellar Matter, Radiation Distribution, Radiative Transfer, Spherical Harmonics, Anisotropy, Interstellar Radiation, Line Spectra, Molecular Clouds, Ultraviolet Radiation

Scientific paper

It is shown that the spherical harmonics method may be used to obtain analytic solutions, of arbitrary accuracy, for the radiation field in plane-parallel clouds with embedded sources. In the sense described here, the spherical harmonics solution is identical with the solution that would have been obtained by applying the Gauss quadrature method. The method is applied to optically thick clouds with a constant density of isotropic sources and a Henyey-Greenstein dust scattering phase function. Graphs of the mean intensity versus optical depth are provided, along with analytic formulas for the mean intensity at large optical depths. The method is also applied to cosmic-ray-induced emission in the Lyman and Werner bands of H2. A transition region of considerable thickness is detected; it extends from the outer layers of dense clouds where rapid photodestruction is produced by the diffuse galactic background continuum to the inner layers where slow photodestruction is produced by cosmic-ray-induced H2 emission in the Lyman and Werner lines. Finally, the method is applied to the attenuation of infrared H2 emission lines produced in high-velocity molecular outflows.

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