Radiative transfer through a flowing refractive medium

Computer Science – Numerical Analysis

Scientific paper

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Light Transmission, Photons, Radiative Transfer, Refracted Waves, Stellar Gravitation, Velocity Distribution, Celestial Geodesy, Gravitational Fields, Numerical Analysis, Shear Flow, Transfer Functions

Scientific paper

Propagation of photons in a nondispersive refractive medium with arbitrary velocity and gravity fields is discussed. Photons move along the geodesics associated with the optical metric given by Gordon (1923) in the limit where geometrical optics applies. The known properties of geodesics then simplify the task of finding the world lines of photons in a variety of problems. The formalism for describing photon propagation, summarized here, makes it possible to derive a transfer equation for a flowing refractive medium which is formally identical to the relativistic equation of radiative transfer. However, the theory is phenomenological since it presumes that the index of refraction is specified.

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