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Gladyshev V. O. and Tereshin A. A. A. A Luneburg Lens in moving Coordinates // Optics and Spectroscopy, 2016, Vol, 120, No. 5, pp. 773Ц780.

The reflection of light rays by a reference microsatellite of new design, which moves with a velocity of 7500 m/s along a near-Earth orbit with a radius of 835 km, is calculated. The microsatellite is a bilayer Luneburg lens with an outer radius of 85 mm. The process of propagation of electromagnetic radiation in a Luneburg lens is analyzed for the first time with the effects of electrodynamics of moving media and optical glass dispersion taken into account. It is demonstrated that the lens motion leads to additional deflection and mixing of rays with various angles of incidence. The obtained results allow one to improve the accuracy of determination of satellite coordinates and open up new opportunities for tests of the theory of relativity and electrodynamics.

Fig.1. Luneburg Lens.

Fig.2. The calculation took into account the normal and tangential components of velocity on the media interface.

Fig.3. Dependences of angles Δϑ0 and Δϑ of deflection of a reflected ray on incidence angle ϑ0 for a lens at rest (Δϑ00), 1) and for a moving lens (Δϑ(ϑ0)) with a ray incident from the left (2) and from the right (3).

Fig.4. Dependence of difference δl on incidence angle ϑ0 for a ray incident from the left (right part of the plot) and from the right (left part of the plot).

Fig.5. Dependence of angular aberration Δϑ at various angles of incidence of radiation on a lens on velocity ν of lens motion.

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