TY - JOUR
T1 - Reconciling and validating the Ashworth–Davies Doppler shifts of an arbitrarily translating mirror
AU - Roi-Cohen, Ziv
AU - Kahn, Merav
AU - Katz, Nadav
AU - Residori, Stefania
AU - Bortolozzo, Umberto
AU - Howell, John C.
N1 - Publisher Copyright:
© 2024 Optica Publishing Group.
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.
UR - http://www.scopus.com/inward/record.url?scp=85200217183&partnerID=8YFLogxK
U2 - 10.1364/josaa.524260
DO - 10.1364/josaa.524260
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AN - SCOPUS:85200217183
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 -