Propagation of Electromagnetic Waves in a Curvilinear Space

摘要

A solution of the Maxwell’s equations with coupling equations, which are transformed into material equations for uniform stationary media under the Lorentz transformation to the local inertial basis, is obtained. A curvilinear transformation, when a Gaussian beam of light is transformed into a plane wave, is considered. Propagation of plane waves in a gravitational field with the Schwarzschild metric is studied. The refractive index of a medium is derived as a function of the direction of light propagation.