We investigate the effects of the relativistic movement of an optical medium on the conditions of
constructive and destructive interference, reflection and transmission pattern, and performance of
spectroscopes. First, we consider the case of two beams reflected from a relativistically moving
thin film and derive the conditions of constructive and destructive interference. Then we broaden
the idea to multiple beam interference and formulate a new modified equation of reflection and
transmission pattern of light from a relativistically moving plane parallel dielectric film.
Finally, we determine the new effective resolving power of a Fabry–Perot spectroscope, which has a
moving dielectric medium in its etalon. Here, we consider the case where the optical media move
parallel to the plane of incidence of light. Throughout this paper, we use the basic Lorentz
transformation of space and time co-ordinates and electromagnetic fields to conduct these
investigations. This paper can stro…