Invariance principles and integral relations for radiation fields in a plane atmosphere

Details Invariance principles and integral relations for radiation fields in a plane atmosphere Invariance principles and integral relations for radiation fields in a plane atmosphere

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..833i&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, July-Aug. 1979, p. 833-844. In Russian.

Physics

Optics

7

Atmospheric Optics, Invariance, Milne Method, Radiation Distribution, Wave Reflection, Atmospheric Radiation, Atmospheric Stratification, Integral Equations, Nonlinearity, Optical Thickness

Scientific paper

Invariance principles are formulated for the Milne problem and for the problem of diffuse reflection from a uniform plane layer of arbitrary optical depth. Integral relations that are nonlinear with respect to intensity are obtained, along with conditions that should be satisfied by the transfer equation. It is shown that the integral relations can be used in conjunction with van de Hulst's (1963) doubling method to calculate the radiation field within a layer without solving any equations or resorting to iteration.

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