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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 8 — Aug. 1, 2008
  • pp: 1284–1293

High-stability transfer of an optical frequency over long fiber-optic links

P. A. Williams, W. C. Swann, and N. R. Newbury  »View Author Affiliations


JOSA B, Vol. 25, Issue 8, pp. 1284-1293 (2008)
http://dx.doi.org/10.1364/JOSAB.25.001284


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Abstract

We present theoretical predictions and experimental measurements for the achievable phase noise, timing jitter, and frequency stability in the coherent transport of an optical frequency over a fiber-optic link. Both technical and fundamental limitations to the coherent transfer are discussed. Measurements of the coherent transfer of an optical carrier over links ranging from 38 to 251 km demonstrate good agreement with theory. With appropriate experimental design and bidirectional transfer on a single optical fiber, the frequency instability at short times can reach the fundamental limit imposed by delay-unsuppressed phase noise from the fiber link, yielding a frequency instability that scales as link length to the 3 2 power. For two-way transfer on separate outgoing and return fibers, the instability is severely limited by differential fiber noise.

© 2008 Optical Society of America

OCIS Codes
(060.2360) Fiber optics and optical communications : Fiber optics links and subsystems
(120.3930) Instrumentation, measurement, and metrology : Metrological instrumentation

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: February 25, 2008
Revised Manuscript: May 2, 2008
Manuscript Accepted: May 31, 2008
Published: July 17, 2008

Citation
P. A. Williams, W. C. Swann, and N. R. Newbury, "High-stability transfer of an optical frequency over long fiber-optic links," J. Opt. Soc. Am. B 25, 1284-1293 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-8-1284


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References

  1. F. Narbonneau, M. Lours, S. Bize, A. Clarion, G. Santarelli, O. Lopez, C. Daussy, A. Amy-Klein, and C. Chardonnet, “High resolution frequency standard dissemination via optical fiber metropolitan network,” Rev. Sci. Instrum. 77, 064701 (2006). [CrossRef]
  2. S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, “Remote transfer of ultrastable frequency references via fiber networks,” Rev. Sci. Instrum. 78, 021101 (2007). [CrossRef] [PubMed]
  3. A. Bauch, J. Achkar, S. Bize, D. Calonico, R. Dach, R. Hlavac, L. Lorini, T. Parker, G. Petit, D. Piester, K. Szymaniec, and P. Uhrich, “Comparison between frequency standards in Europe and the USA at the 10−15 uncertainty level,” Metrologia 43, 109-120 (2006). [CrossRef]
  4. I. Coddington, W. C. Swann, L. Lorini, J. C. Bergquist, Y. L. Coq, C. W. Oates, Q. Quraishi, K. S. Feder, J. W. Nicholson, P. S. Westbrook, S. A. Diddams, and N. R. Newbury, “Coherent optical link over hundreds of metres and hundreds of terahertz with subfemtosecond timing jitter,” Nat. Photonics 1, 283-287 (2007). [CrossRef]
  5. J. C. Bergquist, W. M. Itano, and D. J. Wineland, in International School of Physics “Enrico Fermi,” W.Hansch and M.Inguscio, eds. (North-Holland, 1992), p. 359.
  6. L. S. Ma, P. Jungner, J. Ye, and J. L. Hall, “Delivering the same optical frequency at two places: Accurate cancellation of phase noise introduced by an optical fiber or other time-varying path,” Opt. Lett. 19, 1777-1779 (1994). [CrossRef] [PubMed]
  7. N. R. Newbury, P. A. Williams, and W. C. Swann, “Coherent transfer of an optical carrier over 251 km,” Opt. Lett. 32, 3056-3058 (2007). [CrossRef] [PubMed]
  8. J. Ye, J.-L. Peng, R. J. Jones, K. W. Holman, J. L. Hall, D. J. Jones, S. A. Diddams, J. Kitching, S. Bize, J. C. Bergquist, L. W. Hollberg, L. Robertsson, and L.-S. Ma, “Delivery of high-stability optical and microwave frequency standards over an optical fiber network,” J. Opt. Soc. Am. B 20, 1459-1467 (2003). [CrossRef]
  9. G. Grosche, B. Lipphardt, H. Schnatz, G. Santarelli, P. Lemonde, S. Bize, M. Lours, F. Narbonneau, A. Clairon, O. Lopez, A. Amy-Klein, and C. Chardonnet, “Transmission of an optical carrier frequency over a telecommunication fiber link,” in Digest of Conference on Lasers and Electro-Optics/Quantum Electronics (CLEO) (Optical Society of America, 2007), paper CMKK1.
  10. S. M. Foreman, A. D. Ludlow, M. H. D. Miranda, J. E. Stalnaker, S. A. Diddams, and J. Ye, “Coherent optical phase transfer over a 32-km fiber with 1-s instability at 10−17,” Phys. Rev. Lett. 99, 153601 (2007). [CrossRef] [PubMed]
  11. O. Lopez, A. Amy-Klein, C. Daussy, C. Chardonnet, F. Narbonneau, M. Lours, and G. Santarelli, “86-km optical link with a resolution of 2×10−18 for RF frequency transfer,” (2007), http://arxiv.org/abs/0711.0933v3.
  12. O. Lopez, C. Daussy, A. Amy-Klein, C. Chardonnet, F. Narbonneau, M. Lours, and G. Santarelli, “Fiber frequency dissemination with resolution in the 10−18 range,” in Proceedings of IEEE International Frequency Control Symposium and Exposition (IEEE, 2006), pp. 80-82.
  13. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, “Laser phase and frequency stabilization using an optical-resonator,” Appl. Phys. B 31, 97-105 (1983). [CrossRef]
  14. M. Musha, Y. Sato, K. Nakagawa, K. Ueda, A. Ueda, and M. Ishiguro, “Robust and precise length stabilization of a 25-km long optical fiber using an optical interferometric method with a digital phase-frequency discriminator,” Appl. Phys. B 82, 555-559 (2006). [CrossRef]
  15. J. Kim, J. Chen, Z. Zhang, F. N. C. Wong, F. X. Kartner, F. Loehl, and H. Schlarb, “Long-term femtosecond timing link stabilization using a single-crystal balanced cross correlator,” Opt. Lett. 32, 1044-1046 (2007). [CrossRef] [PubMed]
  16. T. Okoshi and K. Kikuchi, Coherent Optical Fiber Communications (KTK Scientific Publishers, 1988).
  17. D. B. Sullivan, D. W. Allan, D. A. Howe, and F. L. Walls, “Characterization of clocks and oscillators,” in NIST Technical Note 1337 (National Institute of Standards and Technology, 1990).
  18. S. T. Dawkins, J. J. McFerran, and A. N. Luiten, “Considerations on the measurement of the stability of oscillators with frequency counters,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 54, 918-925 (2007). [CrossRef] [PubMed]
  19. E. Rubiola, “On the measurement of frequency and of its sample variance with high-resolution counters,” Rev. Sci. Instrum. 76, 054703 (2005). [CrossRef]
  20. W. C. Swann, L. Lorini, J. Bergquist, and N. R. Newbury, “Narrow linewidth 1.5 μm sources and the thermal limit,” in Digest of IEEE LEOS Summer Topical Meetings (IEEE, 2007), pp. 165-166.
  21. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic Press, 2001).
  22. E. Collett, Polarized Light: Fundamentals and Applications (Marcel Dekker, 1992).
  23. P. A. Williams, “Modulation phase-shift measurement of PMD using only four launched polarisation states: A new algorithm,” Electron. Lett. 35, 1578-1579 (1999). [CrossRef]
  24. C. Daussy, O. Lopez, A. Amy-Klein, A. Goncharov, M. Guinet, C. Chardonnet, F. Narbonneau, M. Lours, D. Chambon, S. Bize, A. Clairon, G. Santarelli, M. E. Tobar, and A. N. Luiten, “Long-distance frequency dissemination with a resolution of 10−17,” Phys. Rev. Lett. 94, 203904 (2005). [CrossRef] [PubMed]
  25. S.-T. Lee and C.-J. Chae, “Low-cost bidirectional optical amplifier using a unidirectional Er-doped fiber amplifier and a fiber Mach-Zehnder interferometer,” IEEE Photon. Technol. Lett. 13, 76-78 (2001). [CrossRef]
  26. K. H. Wanser, “Theory of thermal phase noise in michelson and Sagnac fiber interferometers,” in Proceedings of the Tenth International Conference on Optical Fiber Sensors (OFS 10), Proc. SPIE 2360, 584-587 (1994).
  27. F. M. Gardner, Phaselock Techniques (Wiley, 1979).
  28. B. S. Sheard, M. B. Gray, and D. E. McClelland, “High-bandwidth laser frequency stabilization to a fiber-optic delay line,” Appl. Phys. Lett. 45, 8491-8499 (2006).

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