Reconciling and Validating the Ashworth-Davies Doppler Shifts of a Translating Mirror

Abstract

We simplify the Ashworth-Davies special relativistic theory of a uniformly translating mirror with an arbitrary angle of incidence and direction of propagation in the non-relativistic limit. We show that it is in good agreement with a more intuitive derivation that only considers the constancy of the speed of light. We confirm the theory with phase-insensitive frequency measurements using a liquid crystal light valve