Reconciling and validating the Ashworth–Davies Doppler shifts of an arbitrarily translating mirror

Author:

Roi-Cohen Ziv,Kahn MeravORCID,Katz Nadav,Residori Stefania1,Bortolozzo Umberto1,Howell John C.2

Affiliation:

1. HOASYS SAS

2. Institute for Quantum Studies, Chapman University

Abstract

We simplify, to first order in vc, the generalized, special relativistic treatment of a Doppler shift from an arbitrarily translating mirror originally derived by Ashworth and Davies [Proc. IEEE 64, 280 (1976)IEEPAD0018-921910.1109/PROC.1976.10098]. We show that it is in good agreement with a somewhat modified, but more intuitive, derivation that only considers the constancy of the speed of light. We experimentally demonstrate the theoretical predictions using phase-insensitive frequency measurements in a liquid crystal light valve with mirror translations of only a few tens of nanometers per second.

Funder

European Commission

Publisher

Optica Publishing Group

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