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 experimentally confirm the theory predictions with phase-insensitive frequency measurements using a liquid crystal light valve.

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