Distributed cavity phase and the associated power dependence

Ruoxin Li, Kurt Gibble

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Citations (Scopus)

Abstract

We discuss the power dependence of distributed cavity phase errors for cylindrical TE011 cavities in laser-cooled atomic fountain clocks. The azimuthally symmetric phase variations produce a surprisingly large distributed cavity phase error for two 2π, 4π, and 6π pulses. This is due to the correlation between the transverse variation of the Rabi frequency over the cavity aperture and a quadratic density variation of the atomic sample, along with the symmetry of the longitudinal phase variation in the cavity. We show that the large azimuthally symmetric fields and phase shifts near the walls of the endcap holes produce very small errors at optimal power for a uniform wall resistance. We also show the power variation for higher order azimuthal variations m=1, 2, and 4. These may be caused by fountain tilts, non-uniform detection of atoms, and asymmetries in the laser trapping and cooling of the atoms. We demonstrate that distributed cavity phase errors in physical cavities may have no variation with the microwave power. A combination of rigorous calculations of cavity losses, measurements of power dependence, the atomic distributions, and fountain tilts, and electrical measurements that show the lower limit of the cavity Q and the cavity symmetry, should provide stringent limits on distributed cavity phase errors for current atomic clocks.

Original languageEnglish (US)
Title of host publication2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages99-104
Number of pages6
ISBN (Print)0780390539, 9780780390539
DOIs
StatePublished - Jan 1 2005
Event2005 Joint IEEE International Frequency Control Symposium (FCS) and Precise Time and Time Interval (PTTI) Systems and Applications Meeting - Vancouver, BC, Canada
Duration: Aug 29 2005Aug 31 2005

Publication series

NameProceedings of the IEEE International Frequency Control Symposium and Exposition
Volume2005

Other

Other2005 Joint IEEE International Frequency Control Symposium (FCS) and Precise Time and Time Interval (PTTI) Systems and Applications Meeting
CountryCanada
CityVancouver, BC
Period8/29/058/31/05

Fingerprint

Fountains
Atomic clocks
Atoms
Lasers
Phase shift
Clocks
Microwaves
Cooling

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Li, R., & Gibble, K. (2005). Distributed cavity phase and the associated power dependence. In 2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting (pp. 99-104). [1573909] (Proceedings of the IEEE International Frequency Control Symposium and Exposition; Vol. 2005). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FREQ.2005.1573909
Li, Ruoxin ; Gibble, Kurt. / Distributed cavity phase and the associated power dependence. 2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting. Institute of Electrical and Electronics Engineers Inc., 2005. pp. 99-104 (Proceedings of the IEEE International Frequency Control Symposium and Exposition).
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Li, R & Gibble, K 2005, Distributed cavity phase and the associated power dependence. in 2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting., 1573909, Proceedings of the IEEE International Frequency Control Symposium and Exposition, vol. 2005, Institute of Electrical and Electronics Engineers Inc., pp. 99-104, 2005 Joint IEEE International Frequency Control Symposium (FCS) and Precise Time and Time Interval (PTTI) Systems and Applications Meeting, Vancouver, BC, Canada, 8/29/05. https://doi.org/10.1109/FREQ.2005.1573909

Distributed cavity phase and the associated power dependence. / Li, Ruoxin; Gibble, Kurt.

2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting. Institute of Electrical and Electronics Engineers Inc., 2005. p. 99-104 1573909 (Proceedings of the IEEE International Frequency Control Symposium and Exposition; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - We discuss the power dependence of distributed cavity phase errors for cylindrical TE011 cavities in laser-cooled atomic fountain clocks. The azimuthally symmetric phase variations produce a surprisingly large distributed cavity phase error for two 2π, 4π, and 6π pulses. This is due to the correlation between the transverse variation of the Rabi frequency over the cavity aperture and a quadratic density variation of the atomic sample, along with the symmetry of the longitudinal phase variation in the cavity. We show that the large azimuthally symmetric fields and phase shifts near the walls of the endcap holes produce very small errors at optimal power for a uniform wall resistance. We also show the power variation for higher order azimuthal variations m=1, 2, and 4. These may be caused by fountain tilts, non-uniform detection of atoms, and asymmetries in the laser trapping and cooling of the atoms. We demonstrate that distributed cavity phase errors in physical cavities may have no variation with the microwave power. A combination of rigorous calculations of cavity losses, measurements of power dependence, the atomic distributions, and fountain tilts, and electrical measurements that show the lower limit of the cavity Q and the cavity symmetry, should provide stringent limits on distributed cavity phase errors for current atomic clocks.

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Li R, Gibble K. Distributed cavity phase and the associated power dependence. In 2005 Joint IEEE International Frequency Controlo Symposium (FCS) and Precise Tome and Time INterval (PTTI) Systems and Applications Meeting. Institute of Electrical and Electronics Engineers Inc. 2005. p. 99-104. 1573909. (Proceedings of the IEEE International Frequency Control Symposium and Exposition). https://doi.org/10.1109/FREQ.2005.1573909