Power dependence of distributed cavity phase-induced frequency biases in atomic fountain frequency standards

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 52, Issue 12, 2005, Pages 2314-2321

  Jefferts, S R ^a   Shirley, J H ^a   Ashby, N ^a  

^a NONE

Author keywords

Atomic fountain frequency standards; Distributed cavity frequency biases; Distributed cavity phase shifts; Error budget; Frequency bias; High power microwave tests; Microwave field amplitude; Phase induced frequency biases; Power dependence

Indexed keywords

ERROR BUDGET; MICROWAVE FIELDS; POWER DEPENDENCE;

MICROWAVES; PHASE SHIFT;

NATURAL FREQUENCIES;

EID: 32844460338     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2005.1563276     Document Type: Article

References (25)

1. N. Ramsey, Molecular Beams. Oxford: Clarendon, 1956.
2. R. C. Mockler, "Atomic beam frequency standards," Adv. Electron El. Phys., vol. 15, pp. 1-72, 1962.
3. S. Jarvis, Jr., "Molecular beam tube frequency biases due to distributed cavity phase variations," NBS Technical Note 660, Boulder, CO: U.S. Department of Commerce, Time and Frequency Division, National Bureau of Standards, 1975.
4. A. DeMarchi, J. H. Shirley, D. J. Glaze, and R. E. Drullinger, "A new cavity configuration for cesium beam primary frequency standards," IEEE Trans. Instrum. Meas., vol. 37, pp. 185-190, 1988.
5. A. Bauch, B. Fischer, T. Heindorff, and R. Schröder, "Performance of the PTB reconstructed primary clock CS1 and an estimate of its current uncertainty," Metrologia, vol. 35, pp. 829-845, 1998.
6. M. Abgrall, "Evaluation des performances de la fontaine atomique PHARAO, participation à l'étude l'horloge spatiale PHARAO," Ph.D. dissertation, University de Paris VI, Jan. 2003.
7. A. DeMarchi, "The optically pumped caesium fountain: 10-15 frequency accuracy?," Metrologia, vol. 18, pp. 103-116, 1982.
8. 011 microwave cavity for use in a cesium fountain primary frequency standard," IEEE Trans. Instrum. Meas., vol. 42, pp. 434-438, 1993.
9. A. Khursheed, G. Vecchi, and A. DeMarchi, "Spatial variations of field polarization in microwave cavities: Application to the cesium fountain cavity," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 43, pp. 201-210, 1996.
10. S. R. Jefferts, R. E. Drullinger, and A. DeMarchi, "NIST cesium fountain microwave cavities," in Proc. Int. Freq. Contr. Symp., 1998, pp. 6-8.
11. P. Laurent, P. Lemonde, M. Abgrall, G. Santarelli, F. Pereira Dos Santos, A. Clairon, P. Petit, and M. Aubourg, "Interrogation of cold atoms in a primary frequency standard," in Proc. Joint Mtg. IEEE Int. Freq. Contr. Symp. and EFTF Conf., 1999, pp. 152-155.
12. C. Fertig, R. Li, J. Rees, and K. Gibble, "Distributed cavity phase shifts and microwave photon recoils," in Proc. IEEE Int. Freq. Contr. Symp., 2002, pp. 469-472.
13. G. J. Dick, W. M. Klipstein, T. P. Heavner, and S. R. Jefferts, "Design concept for the microwave interrogation structure in PARCS," in Proc. Joint Mtg. IEEE Int. Freq. Contr. Symp. and EFTF Conf., 2003, pp. 1032-1036.
14. 011 cavities in fountain frequency standards," in Proc. Joint Mtg. IEEE Int. Freq. Contr. Symp. and EFTF Conf., 2003, pp. 1076-1083.
15. R. E. Collin, Foundations of Microwave Engineering. 2nd ed. New York: McGraw-Hill, 1998.
16. J. H. Shirley, "Some causes of resonant frequency shifts in atomic beam machines I. Shifts due to other frequencies of excitation," J. Appl. Phys., vol. 34, pp. 783-788, 1963.
17. J. H. Shirley, "Solution of the Schrödinger equation with a Hamiltonian periodic in time," Phys. Rev., vol. 138, pp. B979-B987, 1965.
18. J. H. Shirley, W. D. Lee, and R. E. Drullinger, "Accuracy evaluation of the frequency standard NIST-7," Metrologia, vol. 38, pp. 427-458, 2001.
19. M. Abramowitz and I. E. Stegun, Handbook of Mathematical Functions. Washington, DC: United States Department of Commerce, National Bureau of Standards, ser. Applied Mathematics Series 55, 1964.
20. S. R. Jefferts, J. H. Shirley, T. E. Parker, T. P. Heavner, D. M. Meekhof, C. W. Nelson, F. Levi, G. Costanzo, A. DeMarchi, R. E. Drullinger, L. Hollberg, W. D. Lee, and F. L. Walls, "Accuracy evaluation of NIST-F1," Metrologia, vol. 39, pp. 321-336, 2002.
21. S. Weyers, U. Hübner, R. Schröder, C. Tamm, and A. Bauch, "Uncertainty evaluation of the atomic caesium fountain CSF1 of the PTB," Metrologia, vol. 38, pp. 343-352, 2001.
22. F. Levi, L. Lorini, D. Calonico, and A. Godone, "IEN-CSF1 accuracy evaluation and two-way frequency comparison," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 51, no. 10, pp. 1216-1224, Oct. 2004.
23. A. Clairon, S. Ghezali, G. Santarelli, Ph. Laurent, S. N. Lea, M. Bahoura, E. Simon, S. Weyers, and K. Szymaniec, "Preliminary accuracy evaluation of a cesium fountain frequency standard," in Proc. 5th Symp. Freq. Standards Metrology, 1995, pp. 49-59.
24. I. I. Rabi, N. F. Ramsey, and J. Schwinger, "Use of rotating coordinates in magnetic resonance problems," Rev. Mod. Phys., vol. 26, pp. 167-171, 1954.
25. R. P. Feynman, F. L. Veron, and R. W. Hellwarth, "Geometrical representation of the Schrödinger equation for solving maser problems," J. Appl. Phys., vol. 28, pp. 49-52, 1957.