The Lagrangian formalism in the radiative transfer theory.

Details The Lagrangian formalism in the radiative transfer theory. The Lagrangian formalism in the radiative transfer theory.

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..56..465k&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 56, issue 3, pp. 465-469

Mathematics

5

Radiative Transfer: Numerical Methods

Scientific paper

The paper is devoted to the application of the variational approach to the radiative transfer problems in the one-dimensional case. To this end the results of the rigorous mathematical theory are used. It is shown that the conservation law due to the form-invariance of Lagrangian with respect to the axes translation transformation entails both the Ambartsumian's invariance principle (1960) and Rybicki's quadratic relations (1977).

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