Ley de reflexión para espejos planos en movimiento relativista

Abstract

In this paper, we study the reflection of light on uniformly moving mirrors. The mirrors are assumed to be perfectly reflecting and oblique with respect to the direction of the movement. Analytical expressions for the angle of reflection, for the reflected frequency and for radiation pressure are given. In the particular case that the mirror moves away from the luminous ray a critical angle of incidence exists for which the reflected luminous ray is parallel to the surface of the mirror. We analyze numerically the influence or the angle of incidence, the speed and the orientation of the mirror in the reflection angle, reflected frequency and in the radiation pressure. Finally we obtain an analytic expression for the determination of the speed of the mirror in terms of parameters that can be measured experimentally.