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

Ziv Roi-Cohen; Merav Kahn; Nadav Katz; Stefania Residori; Umberto Bortolozzo; John C. Howell

doi:10.1364/josaa.524260

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

Ziv Roi-Cohen, Merav Kahn, Nadav Katz, Stefania Residori, Umberto Bortolozzo, John C. Howell

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

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)]. 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.

Original language	English
Pages (from-to)	1581-1584
Number of pages	4
Journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	41
Issue number	8
DOIs	https://doi.org/10.1364/josaa.524260
State	Published - Aug 2024

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Computer Vision and Pattern Recognition

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10.1364/josaa.524260

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title = "Reconciling and validating the Ashworth–Davies Doppler shifts of an arbitrarily translating mirror",

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)]. 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.",

author = "Ziv Roi-Cohen and Merav Kahn and Nadav Katz and Stefania Residori and Umberto Bortolozzo and Howell, \{John C.\}",

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AU - Roi-Cohen, Ziv

AU - Kahn, Merav

AU - Katz, Nadav

AU - Residori, Stefania

AU - Bortolozzo, Umberto

AU - Howell, John C.

PY - 2024/8

Y1 - 2024/8

N2 - 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)]. 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.

AB - 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)]. 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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U2 - 10.1364/josaa.524260

DO - 10.1364/josaa.524260

M3 - مقالة

SN - 1084-7529

VL - 41

SP - 1581

EP - 1584

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

IS - 8

ER -

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

Abstract

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