Bilinear integrals of the radiative transfer equation

Details Bilinear integrals of the radiative transfer equation Bilinear integrals of the radiative transfer equation

Jun 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap.....54..242n&link_type=abstract

Astrophysics, Volume 54, Issue 2, pp.242-249

Astronomy and Astrophysics

Astrophysics

Radiative Transfer Theory: Variational Formalism: Quadratic, Bilinear Integrals

Scientific paper

It is shown that the group of problems in the theory of radiative transfer that are reducible to the sourcefree problem admits a class of integrals involving quadratic moments of the intensity of arbitrarily high orders. Based on a variational principle, it is found that these integrals, which include the R-integral, follow from the corresponding conservation laws. Some of the results are generalized to the case of anisotropic scattering.

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