Reconciling and validating the Ashworth–Davies Doppler shifts of an arbitrarily translating mirror - Archive ouverte HAL
Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2024

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

Ziv Roi Cohen
Merav Kahn
Stefania Residori
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Umberto Bortolozzo
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Résumé

We simplify, to first order in v c , 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 ) IEEPAD 0018-9219 10.1109/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.
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Dates et versions

hal-04776304 , version 1 (13-11-2024)

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Citer

Ziv Roi Cohen, Merav Kahn, Nadav Katz, Stefania Residori, Umberto Bortolozzo, et al.. Reconciling and validating the Ashworth–Davies Doppler shifts of an arbitrarily translating mirror. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2024, 41 (8), pp.1581. ⟨10.1364/JOSAA.524260⟩. ⟨hal-04776304⟩
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