Mathematical model of the optical radiation propagation in the microsatellite moving in near-earth orbit

Abstract

The paper considers the problem of the laser radiation propagation from the Earth surface to a Luneburg lens moving at a speed V along a geosynchronous orbit, and the registration by a ground-based observer of radiation reflected by a lens. Preliminary calculations show that the beams reflected by the moving lens deviate at different angles, which leads to the mixing of the beams on the Earth’s surface in the region of the radiation recorded. That, in turn, affects the appearance of the interference pattern and the process of recording the radiation reflected by the lens. Therefore, the purpose of this work is to calculate the formed optical response in the reception area of the radiation, taking into account the optical effects of the moving media: the Fizeau effect, the Doppler effect, violation of the Snell’s law, the kinematic effect of the beam points displacement on the optical surface caused by the final velocity of radiation in the lens.