General-relativistic radiative transfer theory in refractive and dispersive media

Details General-relativistic radiative transfer theory in refractive and dispersive media General-relativistic radiative transfer theory in refractive and dispersive media

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....44..389b&link_type=abstract

(International Seminar on Relativity, Georgenthal, East Germany, Oct. 22, 1974.) Astronomy and Astrophysics, vol. 44, no. 2, Nov

Astronomy and Astrophysics

Astrophysics

15

Gravitational Fields, Photons, Radiative Transfer, Relativistic Theory, Dispersion, Refraction, Transfer Functions

Scientific paper

The transfer of radiation in an isotropic refractive, and dispersive medium in a curved spacetime is studied by applying the general-relativistic kinetic theory. Relativistic geometric optics in a dispersive medium is first analyzed; in particular, the change of frequency along the ray and the change of the direction of propagation as observed in the local rest frame of the medium are studied. The general-relativistic kinetic theory is then shown to be extendable to photons in a dispersive medium. Assuming that the radiation only undergoes continuous refraction and dispersion, the law of change of specific intensity along the ray can be obtained easily. The transfer of blackbody radiation, the propagation of radiation in a cold plasma in the Friedmann universe, and the derivation of the explicit form of the transfer equation in a spherically symmetric nonstationary dispersive medium are discussed as examples. Some astrophysical situations are indicated in which both refractive and dispersive effects of a medium and the effects of the gravitational field on the radiation can be important.

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